[User]
Find the rank of the matrix:
[[118, 1221, -2785, -1404, 477, 358, -1875, 209, 13, 1137, 292, 1191],
 [359, -483, 940, 323, -12, -33, 1125, 1445, 56, 784, -72, -991],
 [51, -264, 982, 183, -851, 8, 164, 1128, -273, -46, -179, -441],
 [-46, -284, 809, -318, 864, 60, 355, -815, 521, -1904, -744, 585],
 [-998, -757, 835, 467, 250, 351, 407, 134, -827, -669, 62, -234],
 [25, 376, -133, -979, -203, -193, 698, 764, 1253, 1007, -340, 576],
 [-239, -325, 73, -385, -454, 92, -295, 560, 225, 25, 692, 384],
 [-73, 186, 135, -59, -147, 577, -444, -1236, 59, -767, -478, 554],
 [719, -575, -149, -66, 1548, 503, -142, -1667, 685, -1213, 421, 295],
 [863, 5, 62, 113, 152, 1293, 51, -936, 479, 676, -119, -104],
 [-143, 788, -823, 155, -1187, 1032, -981, -1470, -235, 1112, -8, 495],
 [-78, -723, 1168, -197, -796, 1068, 687, 780, 633, 798, 429, 44]]

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[User]
What is the rank of the matrix:
[[-184, -985, 1062, -610, -1048, 358, 620, 537, 529, 592, -1298, 840],
 [-790, -136, 224, 22, 436, -471, 503, -16, 826, 530, -378, -1111],
 [-663, 489, 863, -217, -38, 38, 367, 315, 920, 651, -29, -406],
 [451, -90, -209, 347, -752, 480, -5, -102, -339, -607, -199, 1046],
 [233, 104, -428, 228, -1053, 1128, -352, -723, -1032, -673, -351, 1537],
 [-382, -823, 487, -383, -354, 46, 460, 108, 342, 472, -1013, 73],
 [-1028, 376, -17, 795, -739, 462, 687, -619, 759, -98, -768, -71],
 [-524, 837, 374, 572, 272, 333, 563, -299, 873, -376, 68, -183],
 [-814, -118, 7, 189, -812, 274, 328, -347, 291, 374, -811, -35],
 [-608, -322, -1210, 856, -945, 506, 61, -1250, -636, -489, -985, 286],
 [-63, -676, 780, -546, -1143, 305, 275, 545, 240, 612, -871, 808],
 [66, 280, 865, -761, 318, 434, -154, 213, -49, 280, 217, 399]]?

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[User]
Calculate the rank of matrix A where A =
[[-622, 176, -253, 239, 113, -279, 141, 335, -575, 144, 561, 755],
 [-148, -160, -206, 80, 36, -4, -148, 72, -52, 206, -74, 146],
 [18, 144, 115, -24, -10, -38, 130, -4, -46, -131, 137, 3],
 [-350, 112, -133, 133, 63, -161, 91, 189, -329, 70, 329, 427],
 [-232, -64, -188, 104, 48, -64, -64, 120, -160, 164, 76, 260],
 [152, 320, 324, -100, -44, -44, 292, -68, -12, -344, 236, -124],
 [628, -224, 222, -236, -112, 296, -184, -340, 600, -106, -614, -770],
 [372, -384, -50, -111, -55, 253, -335, -211, 461, 151, -622, -498],
 [696, 192, 564, -312, -144, 192, 192, -360, 480, -492, -228, -780],
 [-206, 112, -45, 73, 35, -109, 95, 113, -213, 2, 241, 259],
 [-140, -128, -178, 73, 33, -11, -119, 69, -59, 175, -46, 142],
 [-506, -80, -367, 220, 102, -158, -86, 264, -374, 307, 227, 577]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-465, -667, -318, -1012, -1033, -802, 105, -610, 18, -363, -1465, 923],
 [418, 1321, 742, -555, 991, -835, 159, 127, -668, 521, 121, -267],
 [262, 26, -257, 946, 641, 644, -175, -359, 653, -680, -650, 1438],
 [1068, 65, -67, -949, -1, -205, 309, 376, -427, 697, -584, 551],
 [-334, -667, 621, -808, -1531, 59, -255, 217, 1040, -401, -1846, 1587],
 [104, 416, 371, -1462, -1359, 212, -64, -1649, -1179, -907, -1527, 174],
 [-225, -405, 881, -402, -572, -654, 919, 1773, 892, -19, -795, 985],
 [-488, -907, -584, 525, -288, 436, -445, -391, 856, -974, -862, 1100],
 [1090, 362, 381, -884, 336, -427, 547, 774, -343, 867, -571, 764],
 [-201, -1148, -705, 61, -814, 548, -135, -319, -79, 69, -399, 316],
 [567, 704, 693, 833, 182, 1216, -238, -143, 960, -481, 91, 684],
 [874, -331, -492, -43, -132, -56, 756, 975, 595, 469, 1080, -473]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-411, 814, 278, -444, 956, 830, 182, -311, 1247, 353, -482, -96],
 [-1139, 48, 1113, 230, 552, 612, 193, -642, 508, 204, -1387, -1140],
 [224, -204, 807, 183, 294, -111, 466, -15, -60, -426, -366, -566],
 [642, -141, -187, 12, 251, -465, -401, -307, -747, 274, 994, -20],
 [982, -86, -726, -349, 963, -514, -137, 171, -160, -141, 1037, 920],
 [-995, 311, -772, -347, -268, 226, -249, 426, 219, -813, -697, 381],
 [-819, 404, -283, -702, 837, 1218, 679, 264, 763, -352, -703, -282],
 [1388, -999, -288, 131, 862, -903, 648, 625, -279, 14, 782, 1200],
 [-676, -122, -221, -343, 902, 367, 477, 427, 543, -1038, -1060, 162],
 [-371, -122, 349, 456, -1473, -134, -123, -20, -703, 408, -51, -566],
 [421, 433, 266, -246, 322, -668, 414, 574, -112, -368, 227, 478],
 [316, 817, 76, -619, -71, -86, 812, 863, -262, -256, 539, 141]]

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[User]
Calculate the rank of matrix A where A =
[[1677, -907, 366, 1582, -1566, -1476, -972, -822, 664, 1392, 512, -887],
 [1002, -345, 71, 749, -914, -403, 1252, 460, -1385, 585, -351, 1108],
 [2036, -1482, 954, 498, 1328, 2044, -624, 1086, -1592, 66, 188, -1101],
 [-1448, 731, -553, -413, -1053, -767, -898, -1244, 1493, 270, -13, 341],
 [-267, 645, -415, -139, 320, -54, 447, -236, -834, -1019, -111, 900],
 [293, 351, -153, -260, 368, 703, 444, -7, -999, -211, 381, 158],
 [-101, -552, 96, 255, -276, 107, -987, -67, 282, 233, -514, 955],
 [871, 227, 484, 1309, 1296, 890, -592, -174, -664, -1042, 341, -1072],
 [-630, 941, -430, -491, 829, 1779, 449, 490, -543, -975, -807, 593],
 [980, -159, 650, 1117, -1154, -311, 817, 525, -1505, 495, -955, 2095],
 [-310, -678, 479, -349, 144, -278, -67, -310, -755, -110, 527, -100],
 [746, -407, -80, -47, 1002, 2051, 21, 1051, -1263, -399, -669, 642]]

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[User]
Determine the rank of the following matrix:
[[-40, 32, 36, 38, 10, -10, -30, -42, 22, 24, 22, 28],
 [-420, 336, 378, 399, 105, -105, -315, -441, 231, 252, 231, 294],
 [-380, 304, 342, 361, 95, -95, -285, -399, 209, 228, 209, 266],
 [320, -256, -288, -304, -80, 80, 240, 336, -176, -192, -176, -224],
 [-380, 304, 342, 361, 95, -95, -285, -399, 209, 228, 209, 266],
 [220, -176, -198, -209, -55, 55, 165, 231, -121, -132, -121, -154],
 [40, -32, -36, -38, -10, 10, 30, 42, -22, -24, -22, -28],
 [-460, 368, 414, 437, 115, -115, -345, -483, 253, 276, 253, 322],
 [480, -384, -432, -456, -120, 120, 360, 504, -264, -288, -264, -336],
 [480, -384, -432, -456, -120, 120, 360, 504, -264, -288, -264, -336],
 [520, -416, -468, -494, -130, 130, 390, 546, -286, -312, -286, -364],
 [300, -240, -270, -285, -75, 75, 225, 315, -165, -180, -165, -210]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-795, 380, 510, -571, 421, -840, 8, 449, -428, 503, -665, 828],
 [470, 455, 440, 261, 902, -259, 887, 96, 480, -631, -606, 560],
 [537, -554, 254, 1070, 302, 670, -36, -840, 46, 833, 250, 269],
 [659, -574, 70, 179, 431, -437, 31, 125, 578, -198, -663, -737],
 [428, -43, 468, 535, -418, 338, 488, -732, -234, -456, 316, 593],
 [83, -1045, -82, 232, -127, 25, -857, -425, 102, 1007, -64, -819],
 [-1211, 1034, 1080, -1115, 63, -839, 407, -405, -252, -319, -544, 1500],
 [925, -1021, -438, 859, -549, 298, 60, -204, 176, -659, 145, -1131],
 [-1478, 734, -275, -852, -179, -140, -9, -72, 46, -461, -13, 181],
 [861, 1182, -1552, 251, 608, 766, 890, 1935, 446, -1394, 601, -574],
 [-54, 299, 95, -344, -501, -27, 56, 91, -336, -312, 289, 265],
 [1069, -966, -126, 617, -476, 249, -181, -319, 180, -191, 189, -933]]

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[User]
Find the rank of the matrix:
[[-289, 187, -51, 425, 68, 306, 340, -68, -102, -425, 442, 68],
 [-51, 33, -9, 75, 12, 54, 60, -12, -18, -75, 78, 12],
 [374, -242, 66, -550, -88, -396, -440, 88, 132, 550, -572, -88],
 [85, -55, 15, -125, -20, -90, -100, 20, 30, 125, -130, -20],
 [-136, 88, -24, 200, 32, 144, 160, -32, -48, -200, 208, 32],
 [374, -242, 66, -550, -88, -396, -440, 88, 132, 550, -572, -88],
 [255, -165, 45, -375, -60, -270, -300, 60, 90, 375, -390, -60],
 [-136, 88, -24, 200, 32, 144, 160, -32, -48, -200, 208, 32],
 [102, -66, 18, -150, -24, -108, -120, 24, 36, 150, -156, -24],
 [17, -11, 3, -25, -4, -18, -20, 4, 6, 25, -26, -4],
 [442, -286, 78, -650, -104, -468, -520, 104, 156, 650, -676, -104],
 [-374, 242, -66, 550, 88, 396, 440, -88, -132, -550, 572, 88]]

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[User]
Calculate the rank of matrix A where A =
[[-198, -543, 313, -376, 951, -552, -838, -118, -806, 114, -172, 1034],
 [-218, 33, -203, -225, 325, 12, -665, -484, -95, 306, -190, 65],
 [10, -478, 734, -289, -22, -490, 187, 528, -317, -364, -336, 329],
 [11, -74, -117, 98, 658, -8, -150, 151, -404, 55, 409, 680],
 [-359, 320, -87, -485, 316, 434, -225, 271, 57, 107, -151, -97],
 [154, -600, 557, -1, -37, -693, -12, 32, -371, -225, -230, 414],
 [-9, 877, -1011, 402, -18, 985, 185, -205, 564, 346, 661, -545],
 [-23, 411, -201, 22, -514, 435, 347, 61, 524, -6, -45, -715],
 [-89, -436, 67, -117, 844, -466, -781, -339, -683, 197, 19, 919],
 [-70, 298, -439, 69, -153, 265, -272, -548, 307, 289, -34, -434],
 [147, 50, 203, 121, -280, 104, 683, 613, 123, -313, 171, -101],
 [-148, -83, 145, -296, -307, -170, -352, -404, 154, 94, -570, -396]]

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[User]
Determine the rank of the following matrix:
[[69, 119, -518, 320, -6, 205, -723, -156, 196, 342, 238, 109],
 [163, 803, 152, -176, 190, 330, -396, -543, 1281, 543, 11, 75],
 [-514, -206, 50, -221, -736, -54, -512, -422, -200, 134, 689, 150],
 [948, 554, 202, 230, 1080, 37, 959, 719, 451, 23, -1255, 12],
 [-458, -586, -90, -48, -536, -186, -144, -30, -776, -266, 478, -28],
 [737, -49, -377, 665, 140, -172, 121, 976, -831, 422, -665, 668],
 [-509, -571, 283, -310, -440, -264, 333, -30, -685, -508, 318, -188],
 [-118, -24, -370, 79, 644, 283, -99, -321, 559, -501, 86, -764],
 [-30, 572, 5, -191, 474, 394, -285, -663, 1316, 49, 102, -441],
 [166, 230, 367, -169, 82, -57, 378, 96, 191, 80, -297, 115],
 [-76, 428, -66, -117, 188, 308, -438, -570, 956, 174, 225, -220],
 [-510, 22, -483, 45, -738, 239, -1400, -782, 267, 530, 1047, 197]]

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[User]
Calculate the rank of matrix A where A =
[[87, -786, 209, -848, 570, 320, -219, 473, 86, 348, 216, 401],
 [-25, 629, 348, 222, 5, 182, -216, 237, -111, -424, 349, -807],
 [-111, -366, 379, -372, -428, -452, -447, 421, -1264, 235, -460, -160],
 [-127, -423, 72, -406, 175, -126, -174, 77, -259, 123, 41, 210],
 [1094, 596, -47, 642, -365, 902, 627, 370, 1014, 145, -496, -53],
 [321, 540, -382, 630, 71, 698, 564, -109, 1360, 65, 142, 10],
 [-740, -956, -814, -274, 221, -486, 222, -682, 339, 689, -44, 1152],
 [-645, -90, 362, -398, 297, 422, -588, 881, -130, 429, 624, -736],
 [-962, -551, 248, -750, 417, -942, -732, -322, -1238, -375, 531, -62],
 [-425, -473, -399, -4, -238, 344, 87, 501, 421, 1217, -245, 258],
 [-156, 212, 430, -216, 252, -104, -402, 116, -470, -518, 444, -544],
 [-689, 39, -910, 538, 39, -486, 456, -1137, 691, 25, 159, 590]]

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[User]
Find the rank of the matrix:
[[-842, -1090, -42, -345, 305, -905, -266, 551, -1034, -440, -19, 228],
 [768, 281, -81, -210, 347, -748, 127, -639, -187, -1014, -236, 644],
 [-1027, -825, -519, -363, -580, 394, -770, 760, -313, 439, -10, -550],
 [305, -240, 765, -45, -344, -495, -428, -362, 390, 268, -1369, -153],
 [-198, 245, -299, -745, -177, 514, 390, -17, -501, -558, 422, 177],
 [-1096, -1169, 126, -454, -78, -429, -204, 664, -959, 45, -19, -67],
 [496, 1034, 31, 525, -157, 874, -225, -135, 1271, 557, -400, -489],
 [1008, 729, 542, 665, 410, -207, 679, -694, 577, 103, 103, 306],
 [1083, 1787, -128, 687, 510, 732, 396, -482, 1241, -188, 172, 58],
 [-71, -266, 773, 488, 267, -428, 208, 67, 112, 520, -248, -53],
 [653, 1025, -250, 202, -50, 543, -302, -300, 962, -108, -445, -176],
 [331, 145, 1113, 378, -79, -69, 376, -337, 515, 713, -627, -154]]

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[User]
What is the rank of the matrix:
[[375, -150, 105, -270, -90, 195, 105, -240, 375, -300, 300, -150],
 [-400, 160, -112, 288, 96, -208, -112, 256, -400, 320, -320, 160],
 [-250, 100, -70, 180, 60, -130, -70, 160, -250, 200, -200, 100],
 [-600, 240, -168, 432, 144, -312, -168, 384, -600, 480, -480, 240],
 [-375, 150, -105, 270, 90, -195, -105, 240, -375, 300, -300, 150],
 [-575, 230, -161, 414, 138, -299, -161, 368, -575, 460, -460, 230],
 [450, -180, 126, -324, -108, 234, 126, -288, 450, -360, 360, -180],
 [-50, 20, -14, 36, 12, -26, -14, 32, -50, 40, -40, 20],
 [600, -240, 168, -432, -144, 312, 168, -384, 600, -480, 480, -240],
 [575, -230, 161, -414, -138, 299, 161, -368, 575, -460, 460, -230],
 [150, -60, 42, -108, -36, 78, 42, -96, 150, -120, 120, -60],
 [525, -210, 147, -378, -126, 273, 147, -336, 525, -420, 420, -210]]?

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[User]
Determine the rank of the following matrix:
[[-183, -460, -471, 1213, -25, -878, 363, -591, 172, 84, 574, -523],
 [545, -95, -302, -26, -1209, 295, -385, 14, -113, 747, 640, 422],
 [812, -655, -868, 1246, 189, -984, 678, -702, -268, 262, 372, -558],
 [-667, -472, -172, -257, 1836, 478, -1189, 280, -240, -909, -1021, -735],
 [360, -304, -335, 574, -1148, -400, 1130, -232, -97, 227, 770, 299],
 [-737, -217, 319, -237, -254, 223, 130, 94, 241, -338, 53, -54],
 [-1167, 375, 753, -553, 229, 417, -859, 198, 628, -323, -202, -46],
 [-177, -172, -157, 322, -809, -43, -550, -162, 173, 685, 637, -101],
 [-253, -281, -876, 844, -52, -154, 266, 466, -837, 21, 274, 36],
 [-55, 549, -212, 286, 191, -244, -5, 482, -606, 722, -95, -32],
 [246, -621, -85, 392, -1255, -219, 1028, -646, 556, -506, 891, 407],
 [-751, -183, 193, 788, -126, -732, 150, -662, 776, -76, 544, -491]]

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[User]
What is the rank of the matrix:
[[105, -2, -590, 735, 445, -430, -29, -754, 226, -375, 121, 230],
 [-195, 668, 496, -1071, -192, 463, 353, 353, 126, -108, 228, 512],
 [167, 956, -64, -613, 40, 5, 247, -281, 462, -584, 612, 1064],
 [-362, -858, 38, 604, 167, 47, -68, 85, -396, 467, -633, -966],
 [-577, -590, 622, -295, -141, 534, 141, 674, -490, 655, -649, -918],
 [-57, -54, 294, -327, -225, 210, -3, 390, -138, 219, -93, -174],
 [-497, -406, 136, 181, 256, 201, 192, -10, -217, 233, -448, -530],
 [216, -426, -540, 954, 246, -474, -273, -477, 3, -63, -78, -234],
 [-1070, 50, 568, -608, 424, 714, 741, 71, -145, 131, -484, -254],
 [762, 146, -580, 528, -118, -608, -445, -353, 257, -321, 470, 442],
 [58, -468, 368, -146, -448, 182, -248, 700, -366, 542, -288, -636],
 [592, -336, -648, 976, 28, -652, -500, -408, 68, -112, 140, -64]]?

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[User]
Determine the rank of the following matrix:
[[663, 166, 201, 256, 106, -68, 248, -512, -102, -439, 104, -431],
 [-3, 708, 478, 139, 550, -129, 1567, -850, 1066, -1131, -387, -1346],
 [791, -349, -66, -604, 225, 1721, -1318, 71, 53, 497, 1461, -513],
 [-209, -914, -196, 257, 1557, -80, 725, 1306, 176, 743, 785, -383],
 [199, -138, 211, -933, -110, 85, -394, 711, -143, -1228, -2099, 976],
 [-936, -929, -175, -246, 179, -655, 21, 1243, -676, 293, -478, 1874],
 [-1300, -396, -464, 25, -144, -637, 65, 185, -358, 787, 1191, -163],
 [530, -980, -459, 342, 611, 471, 548, 678, -246, -264, 550, 1367],
 [422, 98, 476, -545, 203, 996, -419, -261, 767, -647, 209, -1059],
 [559, -664, -538, -108, 1028, 88, 730, 847, -429, -476, -134, 252],
 [-124, -458, 761, 403, -76, -1219, -236, 2, -554, -143, 38, 74],
 [-600, -18, 269, 755, -136, -1047, 1039, 422, -62, 187, -1510, 2573]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-1166, -249, 1402, 252, -80, 1156, -736, -1596, -1169, -263, 911, 1054],
 [484, 529, -1265, -388, -654, -21, 115, 182, -98, 466, 1102, 102],
 [1316, -907, -1716, 314, 986, -872, -109, -537, -1411, -372, 1092, 5],
 [-835, 214, 894, -2, -437, 878, -251, 61, 475, 472, -784, -559],
 [38, 41, -23, -340, -103, 228, -1570, -623, 305, 977, -526, -1787],
 [-500, 902, -279, 34, -724, 653, 636, 823, 755, 24, 438, 413],
 [657, 876, -757, 491, -622, -437, 1071, 1451, 658, -1061, 574, 187],
 [570, -6, -1410, 107, -830, -392, 55, 56, -629, 350, 589, -561],
 [-1120, -1017, 1007, 573, 804, 367, 690, -883, -958, -552, 120, 1928],
 [569, -206, 193, 324, 433, 476, -835, -445, -797, -464, 372, -874],
 [-477, -1091, 738, 81, 851, -92, 764, -688, -699, -60, -161, 1623],
 [341, 667, 330, -83, 13, 805, -255, 64, -178, -581, 1068, 200]]

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[User]
Calculate the rank of matrix A where A =
[[-702, 915, 253, -698, 979, 57, 164, -179, -11, -466, -504, -821],
 [995, -29, -108, -808, -885, -1386, -536, -363, 553, -660, 533, -1681],
 [-120, -195, 857, 7, 598, -462, -82, -228, 512, -658, -1498, -433],
 [1114, 976, 7, -1230, -1125, -470, 257, -591, 1966, 35, -406, -978],
 [1194, 69, -1741, -621, -1264, -334, -1716, 1116, 193, 1117, 695, -240],
 [18, -46, -334, -1444, -710, -999, 259, -1142, -64, -614, 1371, -444],
 [721, 85, -781, 66, -365, -68, 505, 195, -552, -92, -7, -1063],
 [-157, 64, 3, -249, -564, -1448, 761, -956, -534, -1244, 402, -1066],
 [-726, 204, 53, 287, 1065, 1994, 492, 821, -5, 482, -732, 696],
 [-946, -865, 338, -418, -1031, -1009, -942, -139, -150, -907, 1341, -249],
 [-795, -576, 1112, 1770, 3, 742, 48, 823, 144, -569, -1809, -196],
 [-23, 164, -761, -899, -702, -1362, -1111, 52, -67, 348, 769, 274]]

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[User]
What is the rank of the matrix:
[[-75, -720, 423, -498, 522, 198, -150, -57, 174, 141, -66, -258],
 [61, 356, -203, 346, -336, -102, 81, 48, 52, -177, 116, 36],
 [3, 488, -299, 138, -198, -126, 88, -1, -394, 119, -122, 358],
 [-33, -748, 451, -330, 396, 198, -143, -22, 440, -55, 88, -440],
 [50, 200, -110, 260, -240, -60, 50, 40, 120, -170, 120, -40],
 [72, 512, -296, 432, -432, -144, 112, 56, -16, -184, 112, 112],
 [-73, -768, 453, -502, 534, 210, -158, -55, 226, 119, -46, -302],
 [-85, -340, 187, -442, 408, 102, -85, -68, -204, 289, -204, 68],
 [-56, 84, -66, -212, 150, -12, -1, -47, -394, 274, -218, 278],
 [26, -64, 46, 92, -60, 12, -4, 22, 204, -134, 108, -148],
 [-130, -380, 200, -640, 570, 120, -105, -105, -430, 480, -350, 210],
 [51, 596, -353, 366, -396, -162, 121, 38, -208, -67, 16, 256]]?

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[User]
What is the rank of the matrix:
[[128, 368, 416, -112, -400, 224, 384, -240, 80, 256, 96, 336],
 [-128, -368, -416, 112, 400, -224, -384, 240, -80, -256, -96, -336],
 [-120, -345, -390, 105, 375, -210, -360, 225, -75, -240, -90, -315],
 [-48, -138, -156, 42, 150, -84, -144, 90, -30, -96, -36, -126],
 [-72, -207, -234, 63, 225, -126, -216, 135, -45, -144, -54, -189],
 [-104, -299, -338, 91, 325, -182, -312, 195, -65, -208, -78, -273],
 [48, 138, 156, -42, -150, 84, 144, -90, 30, 96, 36, 126],
 [-48, -138, -156, 42, 150, -84, -144, 90, -30, -96, -36, -126],
 [-8, -23, -26, 7, 25, -14, -24, 15, -5, -16, -6, -21],
 [-16, -46, -52, 14, 50, -28, -48, 30, -10, -32, -12, -42],
 [104, 299, 338, -91, -325, 182, 312, -195, 65, 208, 78, 273],
 [-16, -46, -52, 14, 50, -28, -48, 30, -10, -32, -12, -42]]?

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[User]
What is the rank of the matrix:
[[-84, 76, -56, -20, 32, -32, 40, -16, 92, 20, 68, -64],
 [-126, 114, -84, -30, 48, -48, 60, -24, 138, 30, 102, -96],
 [147, -133, 98, 35, -56, 56, -70, 28, -161, -35, -119, 112],
 [-294, 266, -196, -70, 112, -112, 140, -56, 322, 70, 238, -224],
 [-210, 190, -140, -50, 80, -80, 100, -40, 230, 50, 170, -160],
 [-210, 190, -140, -50, 80, -80, 100, -40, 230, 50, 170, -160],
 [-273, 247, -182, -65, 104, -104, 130, -52, 299, 65, 221, -208],
 [273, -247, 182, 65, -104, 104, -130, 52, -299, -65, -221, 208],
 [-189, 171, -126, -45, 72, -72, 90, -36, 207, 45, 153, -144],
 [315, -285, 210, 75, -120, 120, -150, 60, -345, -75, -255, 240],
 [21, -19, 14, 5, -8, 8, -10, 4, -23, -5, -17, 16],
 [-147, 133, -98, -35, 56, -56, 70, -28, 161, 35, 119, -112]]?

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[User]
Calculate the rank of matrix A where A =
[[-496, 197, -599, 393, -1, -467, 315, 29, -690, 712, -232, 147],
 [492, -180, 552, -348, 96, 396, -336, -12, 636, -648, 180, -84],
 [-68, 107, -301, 271, 493, -413, -79, 91, -346, 400, -292, 341],
 [387, -75, 252, -93, 486, 21, -366, 63, 291, -258, -75, 201],
 [-250, 198, -572, 466, 608, -666, 8, 122, -658, 732, -438, 470],
 [196, 77, -187, 265, 955, -491, -361, 157, -214, 304, -412, 563],
 [136, -123, 353, -295, -425, 429, 19, -83, 406, -456, 288, -317],
 [488, -254, 754, -550, -370, 722, -218, -94, 868, -928, 424, -386],
 [-261, -51, 108, -213, -954, 429, 402, -153, 123, -210, 381, -543],
 [-327, 2, -45, -88, -789, 250, 403, -120, -53, -14, 263, -416],
 [-252, -21, 27, -129, -747, 291, 345, -117, 30, -96, 276, -411],
 [-100, -30, 70, -110, -430, 210, 170, -70, 80, -120, 180, -250]]

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[User]
What is the rank of the matrix:
[[245, -139, -795, -970, 865, -1628, -659, 111, 192, -925, 882, -1036],
 [99, 215, 121, -280, -480, 2370, 967, -371, -225, 493, -51, 1128],
 [409, 356, -216, -1087, -781, -1288, 388, 1028, -1606, -1887, -92, -710],
 [-43, 343, -324, -650, -1343, 554, 1049, 87, 949, 710, -741, 52],
 [-641, -210, 381, 1550, 234, 222, -83, -49, -208, 212, -45, -819],
 [502, 448, 503, -255, 187, -9, -140, -263, -788, -7, -112, 186],
 [283, 133, 1585, 1911, 746, -537, -1117, 332, -1059, 144, 47, 121],
 [536, 549, -18, -271, 1081, -977, -816, 403, 125, -52, 1172, 82],
 [-284, -350, 433, 872, 45, 334, -344, -406, 664, 1074, -180, -391],
 [15, 1410, 727, 104, 881, 637, -472, -288, 354, 1531, 1583, 570],
 [-575, -849, -1, -401, 249, 527, -814, -317, -470, 245, 932, 240],
 [217, -20, 820, 679, 404, 155, -763, -372, 755, 1204, -134, 1112]]?

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[User]
What is the rank of the matrix:
[[936, 251, 356, -139, 1055, 1250, -464, -1709, 1195, -251, -877, 698],
 [-743, 670, 288, -1552, 566, -263, -82, -1000, -273, -210, -80, -57],
 [-1104, 390, 564, 1015, 385, 658, 832, -224, 565, 926, 423, -738],
 [-439, -55, 1139, -460, 176, 282, -1186, -541, -1211, 148, 222, -665],
 [-535, 778, -76, -1472, -109, -1742, -50, 849, -1330, -791, 853, -591],
 [-129, 26, -1329, -496, -541, -1061, 1249, 832, 435, -291, -10, 521],
 [-178, -995, -1440, -1577, -922, -726, 454, 619, 249, -780, 231, 1139],
 [79, 158, 93, -755, 288, 353, -121, -793, 639, -309, -53, 622],
 [683, -282, -627, 301, -790, -252, 1067, 225, 711, 221, -600, 756],
 [-417, 513, 1260, 40, 1303, 1696, -636, -1815, 759, 196, -75, -300],
 [-9, -202, -490, -175, -484, -182, 956, -53, 599, 255, -486, 621],
 [167, 868, -187, -258, 516, -402, 669, -41, 864, -404, 740, 209]]?

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[User]
What is the rank of the matrix:
[[-693, 179, -690, -828, 271, -1325, 18, 21, -22, -161, -583, -16],
 [1035, 277, -1360, -1277, -245, -1150, -747, -1807, 1129, 1343, 196, -28],
 [708, 942, -338, 385, -687, 248, -852, -953, -610, 654, -381, 802],
 [-309, 640, 1950, 1356, 275, 1148, 26, 150, -1513, -615, 274, 532],
 [-330, -396, -604, 829, -46, 961, 311, 342, 393, -234, 264, -492],
 [-749, -314, -1188, 115, -937, 77, 734, 505, 602, -885, -1329, -304],
 [118, 2519, 625, 1202, -861, 663, 443, -1787, -753, 707, -518, -235],
 [-332, 220, 247, 869, -525, 768, -282, 502, -819, -477, -1543, 508],
 [-398, -400, -461, -296, -6, -704, -104, -341, 283, -512, 815, 137],
 [-972, -951, -1265, -160, -453, -619, 258, 456, -93, -1341, -277, 513],
 [-489, 1130, 1099, 1378, -247, 949, 211, -269, -1025, -695, -153, 536],
 [1, -186, -1247, 607, -485, 1002, 606, -569, 620, -286, -242, -31]]?

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[User]
Find the rank of the matrix:
[[245, 417, -1561, -358, -869, 425, 723, 9, 909, -579, 667, 182],
 [-213, 229, 204, -409, -352, -428, -890, 429, 187, 411, -107, -68],
 [856, 183, -261, -586, -988, -331, -1541, 1476, -145, -467, 9, 633],
 [-759, -535, 237, -136, 257, -373, 245, -975, -143, 337, -193, -1102],
 [-99, -1070, 420, 506, 14, 969, 562, -739, -968, -436, -666, -886],
 [-53, 652, -242, -568, -432, -631, -830, 663, 638, 374, 270, 344],
 [-195, -323, 79, -286, 519, -1099, -105, -463, -167, 89, 179, -450],
 [408, -730, 833, 276, 878, -659, -336, -56, -1116, -276, -263, -30],
 [-5, 618, 193, -275, -232, -345, -861, 761, 384, 458, 40, 503],
 [567, -121, 320, -451, -407, -705, -1542, 1065, -497, -191, -183, 289],
 [219, -1330, -105, 526, 109, 911, 1100, -1017, -1072, -990, -385, -913],
 [489, -765, 566, 590, 688, 211, 319, -231, -1073, -547, -308, 11]]

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[User]
Find the rank of the matrix:
[[125, 440, -1544, -199, -1081, 57, 261, 721, -621, 1155, -38, 730],
 [282, -713, 1037, -418, 924, 125, 563, -1170, 385, 151, 273, 312],
 [414, 58, 493, 192, 486, -170, -261, 327, -296, -355, -86, -526],
 [-465, -788, 195, 53, 261, 18, -285, 95, 683, -1159, 122, -691],
 [-341, 401, -495, 856, -213, 1372, -486, 127, -946, 781, 232, 338],
 [-621, -210, -758, -819, -991, -763, -291, 83, 1463, -1319, -18, -254],
 [399, -666, 885, -576, 951, 501, 30, -804, 69, -195, 528, 135],
 [-201, 91, 196, -944, -406, -2154, 564, 374, 1249, -1166, -618, -482],
 [-665, -724, 104, 835, 114, 107, 90, -239, 724, -433, -169, -493],
 [647, 537, -20, 760, 416, 795, 321, 373, -1829, 1821, -19, 560],
 [-756, -877, 292, 201, -76, -527, 188, -829, 1785, -1073, -202, -494],
 [58, 726, -185, -1203, -343, -316, -194, 499, -411, -246, 204, 367]]

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[User]
Determine the rank of the following matrix:
[[1639, 108, 307, -235, 416, 794, 711, -258, -5, -193, 320, -505],
 [-282, -186, 154, 328, 976, -184, -244, -244, 56, 188, 422, -594],
 [895, -173, 360, -523, -717, 337, 603, 222, 466, -1137, -116, 619],
 [432, -1074, 624, -449, 606, -324, 405, 582, -635, 459, 88, -1402],
 [725, 405, -577, -520, -1130, 0, 568, -48, -910, 554, -597, 41],
 [22, 285, -460, 260, 169, 886, -7, -41, 157, 948, -494, -432],
 [305, 43, -677, -78, -38, 496, 500, -368, -24, 725, -717, -745],
 [-866, 573, -777, 213, -785, 27, -431, 88, -296, 903, -658, 468],
 [34, 102, 623, 51, -189, 571, -547, 1214, -456, 769, 175, 254],
 [-369, -210, -620, -200, -605, -91, 386, -292, 467, -265, -835, 69],
 [-439, -17, 478, 827, 1676, 629, -764, 93, 479, 606, 707, -641],
 [624, 665, 99, 43, -22, -47, -130, -117, -797, 306, 579, 220]]

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[User]
What is the rank of the matrix:
[[-311, 463, 1194, 20, -884, 1408, 304, -552, -529, 896, 1188, -993],
 [1338, 404, -641, -1049, -1101, -374, -850, -514, 318, 168, 1530, 544],
 [660, -171, 543, -344, 755, -111, 214, 517, 885, -98, -960, -952],
 [-23, -264, 301, -878, 367, -18, 1373, 759, 928, -364, 530, 57],
 [-386, 1085, 458, -313, -475, 332, 30, -704, -482, 1089, 300, -135],
 [1422, -186, 875, -348, 960, 915, 1306, 323, 300, -1043, 69, -1576],
 [-940, 559, -642, -192, -509, -5, -1210, -1159, -814, 201, -900, 49],
 [1079, 201, -1195, -468, 326, -736, -467, -309, 263, -17, 381, 1543],
 [-27, 335, 330, 1198, 320, 400, -327, 75, -1092, -955, -745, -1096],
 [792, -13, 902, 263, 237, 110, 909, 554, 361, 461, 621, -474],
 [-767, -311, 206, 1960, -533, 3, -689, 4, -1281, -53, -291, -467],
 [-1599, -245, 588, 193, -1774, 1085, -493, -1135, -906, 1603, 449, -226]]?

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[User]
Find the rank of the matrix:
[[352, -686, -927, -386, -690, 893, 854, -812, -558, 337, 304, -1303],
 [81, 1228, -460, -351, -747, 970, -810, 296, -448, -651, -157, -890],
 [641, -199, 466, 461, 22, 216, 424, -661, 522, 458, -751, 231],
 [631, -1194, 94, -245, 70, 47, 1298, -730, 736, 158, 505, 172],
 [-252, 838, 665, 521, 302, -419, -960, 481, -115, 26, -901, 489],
 [692, -1090, -606, -176, -166, 358, 1450, -590, 786, 190, 590, -468],
 [-284, -405, -798, -689, -459, 666, 347, -568, -440, -103, 1282, -115],
 [-23, -231, -229, 731, 295, -364, 244, 81, 218, 666, -525, -92],
 [78, 465, -62, 203, -212, 447, -269, -220, 26, 88, -262, 85],
 [-30, 309, 494, -587, -125, 128, -399, 34, -174, -631, 314, 323],
 [5, 104, 1183, -28, 849, -1333, -307, 1139, 818, -724, -171, 861],
 [659, -21, 1115, 80, 280, -567, 27, 358, 270, -241, -1149, -310]]

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[User]
Find the rank of the matrix:
[[51, -537, -306, 610, -87, -278, -330, -406, -14, 1107, 199, 440],
 [-35, -574, -984, 389, 34, -383, 285, -208, -489, 147, -44, 1274],
 [168, -1289, -451, -751, -74, 256, -352, 63, 967, 121, -583, -994],
 [-980, 28, 832, -72, -513, 831, 652, 557, 413, -727, 1238, 645],
 [-241, 13, -633, 993, -91, 127, 737, 440, -662, -80, 342, 124],
 [401, -532, 418, -727, -268, -23, -873, -311, 1215, 700, -341, -902],
 [-82, 349, -469, -893, -1073, -138, 344, -479, 440, -38, -359, 557],
 [-28, 418, 1001, 1112, 1336, 211, -27, 855, -887, -708, 720, -283],
 [1030, 12, 239, -268, 278, -748, -983, -348, 515, 526, -648, -335],
 [-864, -618, 341, 167, 947, 1013, 567, 973, -489, -1327, 602, -365],
 [549, -336, -1012, -592, 449, -210, -3, 42, -211, -513, -1297, -938],
 [-338, 107, 289, -1071, -109, 376, 146, -6, 312, -797, -170, -43]]

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[User]
What is the rank of the matrix:
[[575, -219, -950, -582, -744, 162, -388, 714, -58, 158, 898, -64],
 [-21, 119, -429, 102, -192, -201, -194, 319, 153, -111, 249, -355],
 [46, 21, 155, 126, 150, -143, 59, 252, -548, -53, -542, -128],
 [-367, 145, 702, 202, 252, 18, 194, -308, -188, -474, -1228, 22],
 [241, -59, -392, -170, -276, -20, -166, 430, -198, 20, 194, -132],
 [-214, -12, 691, 249, 588, 29, 349, -627, 5, 233, -223, 326],
 [-255, 320, -474, 525, 42, -538, -192, 337, 297, -132, 295, -688],
 [-370, 290, -275, 339, -72, -273, -159, -23, 629, -301, 181, -440],
 [188, -222, 197, -607, -396, 535, -7, -125, -105, -233, -421, 460],
 [-617, 438, -71, 640, 162, -445, -83, -160, 696, -415, -98, -586],
 [-151, 41, 453, 250, 408, -87, 214, -243, -197, 63, -397, 71],
 [156, 3, -270, 123, 54, -226, -58, 363, -273, 204, 253, -216]]?

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[User]
What is the rank of the matrix:
[[-596, 326, -1382, -221, 510, -1653, -330, 470, 744, 747, -68, -794],
 [-170, 2384, 316, -795, -1104, -57, -257, 172, 1039, 644, -849, 737],
 [267, -1686, 155, 381, 1262, -321, 232, -165, -484, -61, 689, -953],
 [511, 403, -1205, -108, 1621, 271, 109, -798, 149, -512, -23, -310],
 [183, -300, 15, 344, -832, 606, 431, -364, -215, -739, 307, 916],
 [-1041, -795, 620, 80, 361, -659, 344, 898, -518, -207, -387, 140],
 [-29, -464, 1069, -726, -920, 591, -141, -937, -503, -302, -191, 500],
 [-257, -379, 1314, 1202, 208, 78, 658, 1360, -705, -201, -369, 362],
 [-418, -739, -196, -431, -133, 39, 490, -834, 536, 430, 696, -457],
 [624, 374, -627, -525, -708, -16, -942, -263, 240, 1123, -624, -46],
 [1207, 2266, -438, -452, 100, -459, -929, 272, 947, 500, -343, 59],
 [395, 1352, 44, 344, 733, -215, -149, 91, -174, -756, -534, 138]]?

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[User]
Find the rank of the matrix:
[[349, -1023, -910, 182, 121, -226, -249, 1756, 322, 806, 1328, -1399],
 [610, 57, 318, 5, -160, -1281, 158, 219, -383, -1311, -248, -411],
 [312, -817, -249, -471, -576, -535, 819, 170, -341, -334, 145, -1396],
 [517, -242, -255, -437, 730, -328, 1762, -1061, -303, 64, -1645, 1009],
 [-746, -876, -1260, 657, -605, -612, -512, 1479, -125, -486, 859, -597],
 [-725, 342, 434, -732, -1455, -513, 482, 703, -68, -910, 1778, -343],
 [164, -1027, -703, 1813, 444, -847, -1552, 1146, 644, -598, -700, -1355],
 [298, 112, 120, -930, -779, 101, 581, 422, -531, 196, 1454, 735],
 [98, -664, 16, -324, -269, -716, 1317, -516, -282, -93, -610, -860],
 [293, 175, 554, 49, 762, 240, 803, -1076, 447, 772, -1184, 994],
 [103, 949, 383, -328, 258, 210, -486, -94, -197, -298, 253, 405],
 [-538, -528, -566, 490, -97, -278, -803, -12, -974, 725, 64, -1464]]

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[User]
Calculate the rank of matrix A where A =
[[-398, 364, 83, -136, -17, -762, 9, -561, -167, -270, -47, 629],
 [889, -335, 457, -206, 609, 859, -722, 847, 495, 284, -383, 382],
 [462, -1126, 2, -137, 491, -561, 547, 134, 343, -180, 348, -919],
 [276, -219, 359, -112, 772, -201, -241, -123, 401, -388, -646, 623],
 [55, 653, -747, -570, -1836, -3, 7, 557, -1180, 891, 801, -61],
 [-652, 491, 489, 397, 451, 132, 74, -833, -6, -428, -904, 264],
 [466, -971, -1033, 335, 361, -321, 888, -378, 202, -948, -740, -865],
 [1476, -727, 684, -56, 1291, 913, -586, 167, 313, 63, -71, -653],
 [54, 277, -443, 153, -454, 365, 101, -157, -446, 46, -30, -351],
 [-72, -765, -510, 278, 466, -519, 801, -335, 426, -878, -925, -324],
 [143, 279, -361, 1098, 1162, 1152, -877, -259, 1097, -654, 29, 473],
 [-35, 500, -76, -485, -1063, 37, 85, 189, -931, 536, -181, 78]]

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[User]
Determine the rank of the following matrix:
[[-177, -600, -498, 1099, 1179, -604, 466, 886, 165, 471, 573, -289],
 [-20, 1119, 406, 230, 355, 332, 199, 62, 595, -982, -263, -806],
 [255, -916, -302, 85, 126, -1164, -309, 76, 292, 1074, 408, 802],
 [208, -263, -24, 431, 1054, -121, 292, 730, 215, 139, 849, -22],
 [-269, 391, 593, -967, -425, 313, -536, 574, -81, 182, -145, 978],
 [218, -795, -188, -418, -490, -1058, -386, -450, -50, 1173, 200, 929],
 [615, -148, -31, 200, 204, -1174, -247, -471, 961, 297, 227, 140],
 [-13, 771, 344, 103, 665, -260, 698, -96, 63, -18, 561, -706],
 [-677, 138, 84, -202, -389, 363, -418, 784, -154, 5, -690, 512],
 [801, -964, -450, 277, -57, -276, -364, -524, 405, -23, 189, 233],
 [-172, 656, 469, 18, 776, 233, 164, 937, 308, -257, 366, -47],
 [-285, -933, -488, -51, -444, 700, -45, 162, -1006, 257, -128, 341]]

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[User]
Determine the rank of the following matrix:
[[-71, -1016, 735, -513, 598, -417, 772, 1761, -140, 891, 426, -1301],
 [-817, -347, 155, 749, -484, -3, 904, 1082, -361, -306, -662, -396],
 [671, 1685, -585, 552, 667, -1326, -93, -1149, -799, -723, -108, 753],
 [-238, 843, -477, 536, -246, -130, 451, 1123, -445, -988, -1057, -784],
 [98, -912, 1150, -899, -201, 192, 83, -464, -445, 318, 1361, 189],
 [-181, -640, 432, 263, 209, -473, 444, -251, -161, 601, 415, 446],
 [474, -441, 111, 787, -139, -815, 250, -2834, -309, 473, 571, 2445],
 [-209, -597, -55, 1056, 486, -1041, 878, -46, -21, 869, -287, 571],
 [-98, 741, -120, 280, 119, -251, -369, -928, -233, -371, 199, 725],
 [882, 211, -132, 231, 162, -845, 170, -1620, -440, 43, 268, 1162],
 [-103, 72, -262, 1088, 1041, -1405, 370, -631, 43, 920, -24, 943],
 [-589, -1133, 41, -56, -1075, 1415, 31, 610, 758, 112, -531, -305]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-372, -192, -36, -12, 144, -804, -84, 204, 252, 468, 300, -816],
 [204, 794, 652, 184, 392, 128, 538, -728, 236, -76, -700, 162],
 [-137, -236, -165, -47, -60, -221, -149, 223, 3, 129, 239, -232],
 [-311, -9, 109, 29, 224, -741, 38, 35, 293, 431, 133, -745],
 [-275, -321, -191, -55, -16, -513, -190, 311, 89, 299, 361, -529],
 [330, 556, 386, 110, 136, 538, 350, -526, -14, -314, -566, 564],
 [-198, 435, 474, 132, 444, -672, 339, -372, 426, 390, -258, -657],
 [-243, -456, -327, -93, -132, -375, -291, 429, -15, 219, 453, -396],
 [371, 343, 175, 51, -40, 733, 192, -339, -169, -427, -417, 751],
 [-247, 148, 229, 63, 284, -659, 141, -111, 317, 383, -15, -656],
 [-142, 92, 138, 38, 168, -382, 86, -70, 186, 222, -14, -380],
 [192, -383, -424, -118, -404, 634, -301, 326, -392, -368, 220, 621]]

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[User]
Find the rank of the matrix:
[[-2157, -1054, -423, 679, -486, 34, -46, -913, 261, 267, 876, 860],
 [-1037, -1036, 329, -926, -648, -124, 673, -488, 394, -75, -68, -102],
 [152, -309, -234, 315, -447, 326, -75, -465, -902, -221, -77, 135],
 [-204, -61, -130, 217, -432, 312, -193, 155, -107, -40, 1, 490],
 [1199, 548, 1669, 9, -198, -647, 501, 1544, 550, -656, -842, 53],
 [1358, -232, 719, 742, -111, 373, 393, 643, 566, 315, 94, 10],
 [-131, 108, -871, 1313, 257, 276, 330, 332, 912, 1005, 315, 1270],
 [358, 543, 1176, -1353, 83, -341, 1048, 358, -281, -1076, -168, -1687],
 [1416, 423, 412, -854, 710, -564, -273, -120, 609, 1293, -300, -1346],
 [898, -854, -101, 2282, -1463, -737, -616, 809, -577, 476, -183, 696],
 [-435, 860, -946, 158, -9, -57, -468, 1590, 770, -107, -479, 1415],
 [306, 1015, -475, -300, -217, -1306, -808, 1723, 19, -313, -1058, 330]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-636, -901, 296, -977, 44, 132, 853, 331, 2, -1058, -58, 828],
 [1044, 1247, 873, 434, 638, 430, 43, -53, 500, -142, -300, -954],
 [-1281, -1237, 280, 124, -677, -431, 486, -310, -570, 1360, -331, -399],
 [196, -219, -704, 56, -233, 378, 950, -468, -176, -37, -171, 101],
 [945, -58, -695, -383, -707, 639, 299, -1017, 730, -345, -774, -739],
 [267, 528, -252, 225, -110, 1538, 701, 192, 526, -439, 76, -149],
 [172, -483, 347, -963, 63, -284, 425, -307, 0, 51, -355, 168],
 [809, -371, 2042, -835, 478, 107, 396, -235, 1523, 932, -683, -1895],
 [47, 1711, 539, 1214, 598, 899, -978, 1240, 180, -481, 498, 459],
 [-573, 1205, -163, 531, 766, 376, 1072, 565, -1492, -1557, 764, 767],
 [-955, -1088, -5, 68, 203, -1127, -75, 409, -278, -414, 571, 217],
 [-463, 952, 1087, 666, 1675, 211, 198, 1798, -95, -802, 1597, 304]]

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[User]
Calculate the rank of matrix A where A =
[[139, 350, 315, -862, -287, 963, -142, -311, -536, -657, 361, -268],
 [-331, 148, 232, 400, -332, 112, -513, 46, 65, 449, 99, 232],
 [195, 14, -239, 17, 56, -169, 521, -199, 131, -46, -185, -202],
 [-4, 280, 226, -589, -39, 702, 431, -516, -443, -477, 298, -160],
 [-380, -486, 237, -303, 1021, -130, 434, 139, -445, -369, 370, 513],
 [242, 126, -9, -359, -203, 282, -150, -23, -99, -287, 12, -245],
 [358, 178, -297, 274, -578, -182, -343, 103, 426, 270, -374, -353],
 [-708, -94, 739, -238, 293, 563, -667, 191, -619, -100, 688, 668],
 [459, -180, -480, 216, -69, -615, -105, 354, 468, 111, -471, -279],
 [-414, 96, 270, 321, -108, 129, -207, -72, -48, 351, 180, 303],
 [393, 500, -324, 530, -1125, -29, -465, -114, 614, 567, -489, -529],
 [432, -654, -587, 239, 555, -1138, -72, 783, 493, 25, -510, -31]]

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[User]
Determine the rank of the following matrix:
[[1114, -964, 541, 518, -320, 30, 103, 272, 725, -400, 686, 226],
 [904, -570, 474, -48, -243, -116, 132, 175, 326, -821, 842, -152],
 [233, 137, 587, -383, 160, 40, 514, 1113, 230, 506, -240, -299],
 [-826, 356, 307, -144, 377, -78, -136, -10, -476, 340, -651, 131],
 [-423, 589, -120, -410, -38, -100, -178, 33, -447, -512, 260, -670],
 [-156, 274, 170, -187, 179, 70, 361, 605, 88, 793, -554, -15],
 [695, -527, -940, 422, -672, -192, -51, -1736, 224, -737, 853, 605],
 [-699, 1005, -402, 1188, -1512, -344, 75, -818, 238, 563, 403, -261],
 [1409, -812, 229, -792, 402, 146, 495, 756, 432, -513, 448, -75],
 [-1076, 868, -412, 65, -183, -94, -525, -447, -630, -267, 14, -533],
 [-128, 630, -392, -656, -8, -44, 273, 157, -229, -1, 35, -531],
 [-119, -693, 699, 1137, -39, 28, -165, -155, 407, 760, -541, 1018]]

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[User]
Find the rank of the matrix:
[[1346, 98, 257, 53, 533, 133, -642, -863, -543, -217, -90, 977],
 [-87, -415, -299, 476, 354, 238, -204, 247, -268, -144, 479, 281],
 [568, -319, -138, 16, 584, -152, -353, -331, -210, -314, -134, 354],
 [-556, -596, 30, 86, 106, -484, 26, 154, -72, -424, 560, -402],
 [-624, 406, -282, -298, -482, 126, 558, 536, 642, 502, -660, -610],
 [-578, 48, 147, -217, -395, -284, 329, 191, 266, 38, 28, -573],
 [234, -513, -514, 326, 692, 125, -306, 111, -191, -229, 34, 362],
 [730, 123, 379, 121, 133, 119, -389, -554, -451, -129, 276, 615],
 [-155, -522, -254, -339, 407, -685, 41, -25, 247, -399, -387, -470],
 [-292, -551, -13, 139, 231, -353, -91, 58, -155, -401, 486, -169],
 [424, 33, -729, -113, 521, 268, -42, 144, 304, 212, -1016, 211],
 [137, 820, -58, 245, -487, 982, 142, 267, 56, 760, -177, 430]]

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[User]
Calculate the rank of matrix A where A =
[[687, -336, -62, 175, 131, -114, -624, -393, -569, 850, 912, -3],
 [385, -302, 83, -212, 590, -603, -603, 71, 66, 440, 5, -159],
 [-45, -3, -544, 197, -503, 600, 570, -366, -412, -115, 561, -96],
 [-242, 483, 403, 567, -899, 829, 259, -193, -328, -115, 334, 587],
 [-348, 378, 198, 294, -606, 570, 390, -30, -60, -330, -24, 330],
 [338, 32, -249, 631, -847, 897, 147, -710, -961, 480, 1345, 270],
 [702, -320, -43, 221, 75, -61, -631, -426, -619, 880, 979, 34],
 [457, -352, -516, 59, 27, 68, -82, -415, -509, 470, 810, -245],
 [-335, 222, 595, -228, 334, -443, -203, 539, 662, -340, -983, 149],
 [-338, 487, 596, 358, -574, 468, 108, 83, 27, -235, -163, 543],
 [261, -323, -218, -275, 517, -478, -268, 36, 76, 225, -17, -314],
 [-279, 314, 383, 152, -286, 217, 97, 135, 134, -240, -271, 305]]

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[User]
Determine the rank of the following matrix:
[[259, 275, 500, -374, -301, -458, -418, 5, 93, -229, 849, 221],
 [1008, 454, 677, 207, -110, -317, 415, -679, 11, -974, 1354, -6],
 [-168, -916, -360, 714, 426, 812, -166, 128, -388, 172, -934, -208],
 [449, -908, 1027, -393, -268, 265, -851, -205, -710, -230, 167, -318],
 [-663, 1, -771, 196, 226, 159, 64, 440, 224, 557, -792, 129],
 [-162, -28, -452, 652, 264, 52, -400, 428, 242, 32, 154, 440],
 [849, 300, 570, 332, -64, -290, -18, -388, 47, -846, 1345, 190],
 [106, 58, -12, -35, 37, 126, 601, -336, -92, -74, -265, -304],
 [200, 988, 185, -682, -315, -595, 1006, -507, 305, -184, 429, -178],
 [586, -696, 839, -254, -133, 419, 102, -645, -719, -368, -143, -654],
 [-278, 360, -758, 745, 321, -112, -111, 484, 518, 72, 217, 578],
 [528, 873, 103, -316, -74, -155, 2022, -1124, 61, -473, -17, -697]]

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[User]
Determine the rank of the following matrix:
[[342, -523, -1482, -233, 566, 392, 83, 410, 477, 792, -487, 763],
 [-458, 664, -1053, -1598, -447, -591, 42, 320, 608, -1041, -882, -631],
 [1271, -1469, -872, -903, 1375, -632, -545, 1160, -441, 1051, -1220, 72],
 [362, -315, -158, -686, 378, -568, -580, -32, 572, -459, 120, -152],
 [523, -182, 405, -393, -627, -459, -351, 48, -1188, -432, -277, 60],
 [-652, -287, 1408, 967, 37, 457, 280, 552, -1372, -290, -129, -393],
 [-695, 528, 438, 1205, -499, 580, 526, -1264, 72, 201, 1214, 457],
 [370, -528, 738, 434, 188, 301, -635, 59, -863, 128, -5, 134],
 [1458, -831, -896, -717, 641, 179, -868, 728, -608, 506, -1157, 133],
 [54, 682, 590, 323, -604, 250, -693, -1202, 369, 289, 861, 327],
 [-1822, 320, 364, 168, -299, 576, 33, -353, -479, -57, 17, 257],
 [-106, -547, 1800, 725, 71, -1156, -58, 997, 286, 1773, 338, 680]]

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[User]
Find the rank of the matrix:
[[1624, 591, -1125, -52, -16, -317, 413, 1053, 135, 620, -806, 855],
 [-400, -991, 4, -603, -657, -357, -401, -1066, -733, -1166, 216, -49],
 [-238, -749, 1532, 1062, -782, 309, 234, -42, 187, 910, 167, -1108],
 [-877, 1309, -1711, -273, -114, -161, -633, 464, -182, -141, -727, -534],
 [-135, -802, 213, 1447, -293, 299, -3, 759, -283, 241, -1225, -1370],
 [-1398, 828, -28, -853, 1301, 138, 167, 352, -663, -237, 320, -260],
 [541, 1001, 509, -1173, 177, -853, -597, 994, -325, 94, 49, -384],
 [31, -471, 172, 765, -613, 409, 364, -598, 1610, 562, 1261, 742],
 [-318, -699, 1882, -535, -403, -94, -551, 788, -314, -99, 172, -673],
 [642, -501, -597, 1036, -1367, 60, 483, 91, 1363, 93, 1361, -373],
 [-1052, 291, -275, -452, -353, -462, -61, -1000, 410, -370, 1631, -314],
 [179, 201, -320, -1413, -384, -662, 377, -18, -972, 124, 27, 728]]

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[User]
What is the rank of the matrix:
[[-266, -397, -1021, -34, -181, -61, -425, 494, -301, 46, -459, -657],
 [-286, -33, -677, 50, -121, 115, -79, 84, -47, -300, -147, -823],
 [463, 511, -662, -908, -647, 513, -20, 23, 498, -408, 542, -664],
 [28, 241, 535, 136, 145, 51, 292, -343, 162, -135, 233, 188],
 [-135, -268, 607, 462, 390, -322, 33, -35, -253, 342, -239, 677],
 [-388, -158, -286, 354, 126, -60, -19, 15, -177, -143, -266, -459],
 [395, 462, 3, -546, -324, 332, 149, -173, 419, -254, 509, -127],
 [304, 624, 200, -398, -236, 398, 349, -411, 515, -453, 624, -251],
 [397, 328, 983, -114, 114, 26, 313, -359, 275, 110, 441, 845],
 [-8, -148, -324, -92, -92, -32, -182, 214, -98, 90, -140, -102],
 [290, 467, 751, -120, 39, 169, 392, -457, 370, -167, 513, 376],
 [-419, -356, -157, 486, 246, -226, -107, 121, -337, 86, -435, -151]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[844, 218, -336, 187, 293, -437, 208, -906, -590, -234, -640, -1157],
 [813, 450, -862, 91, -352, -1409, 753, -904, 196, -60, -1165, -848],
 [279, 18, 353, 663, 250, -1340, -759, 548, 591, 256, -279, 325],
 [-52, -853, -829, 850, -162, -525, 77, 331, -601, -52, -335, -1243],
 [-466, -284, -184, 510, 133, -896, 652, 1436, 1377, -802, -679, -1019],
 [-215, -421, 579, -213, 295, 253, -203, 924, 588, -539, 276, -302],
 [-807, 69, 145, -238, 442, 856, -263, 951, 493, 253, 662, -30],
 [-117, 158, 335, -317, 403, 16, -513, 203, 317, -552, -690, 1093],
 [551, 124, -562, -741, -1015, -721, 1659, -553, 858, -380, -320, -1270],
 [-295, 276, -695, 157, 10, 586, 123, -509, -776, 588, 111, -60],
 [-384, -90, -627, 1112, 268, -345, 628, 583, 18, -114, -312, -1408],
 [-441, -114, 156, 189, 258, -475, -333, 1196, 1006, 36, 21, -26]]

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[User]
What is the rank of the matrix:
[[347, -149, 509, -1003, -316, -800, -482, -96, 307, 648, -1764, -269],
 [-313, -287, -196, -287, 66, 315, -107, -1219, 223, 62, -518, -991],
 [95, 167, 973, 694, 246, -1364, -106, -804, 1278, 268, 105, 328],
 [186, 680, -1298, -51, 55, 354, 656, -991, 231, 1215, -500, -621],
 [-182, -721, 1286, -769, -415, 188, -1033, -458, -138, -1561, -112, -337],
 [-35, -229, -178, 397, -629, -978, -696, 565, 653, 1052, -662, -138],
 [2298, 683, -369, 1521, -761, -1410, 565, -340, 282, 1469, 803, 208],
 [1481, -124, -64, -442, -905, 304, 380, 413, -672, -182, 730, 411],
 [-1013, -1128, 932, -850, -6, -721, -535, -730, 1140, -70, -900, -133],
 [769, -504, 112, -49, -1177, -348, -488, 1146, 399, 740, -160, -112],
 [53, -650, -115, 426, -73, 431, -524, 1220, 267, 128, 125, -742],
 [1228, 616, -489, -146, -515, -390, 509, -346, -1179, 2, 343, 837]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[-365, -189, -854, -1521, 299, -19, -265, -145, -227, 12, 340, -1635],
 [-712, -547, -819, -135, -97, 533, 335, 508, 203, 199, -213, 225],
 [545, 681, 675, -578, 1041, 444, 55, 1023, -160, 171, -655, 450],
 [387, -281, -939, 847, -131, 774, 1553, 483, -151, 1119, -11, 1701],
 [842, 567, 29, 541, -179, -1166, 1800, 794, 44, 1764, 134, 855],
 [516, -176, 1465, 176, 897, -111, -125, -897, -44, 98, -502, 518],
 [1204, 1251, -1572, 685, -844, -447, 357, 205, 16, -30, 815, -397],
 [-367, 40, -335, -980, 200, 451, 325, -1161, -75, 142, -305, -392],
 [347, 900, -403, 399, -470, -859, 602, 612, -1123, -544, 341, -109],
 [-401, -301, -1619, -25, 912, 771, 936, -311, 434, 197, -819, 793],
 [1296, 1168, 866, -6, -435, 107, -1620, 183, 203, -781, 743, -976],
 [-315, -995, -886, -28, 1295, 480, 1067, -364, -143, 398, -701, 790]]

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[User]
Compute the rank of the given 12x12 matrix:
[[104, -259, 390, 1040, 428, 12, 1049, 115, 710, -288, -483, 190],
 [-363, 931, 904, -147, -292, 221, -280, -106, -398, -137, 655, -1411],
 [-612, -745, 284, 215, 1032, -116, 849, 252, 1072, -1308, -1110, 345],
 [-3, 332, 1266, -308, -974, 270, -782, 206, -400, 384, 714, -358],
 [244, -68, -335, -281, 263, 401, -1669, -250, 544, 924, 5, -964],
 [-352, 226, 488, -267, 236, 332, -925, -549, -646, 829, 511, -37],
 [672, -222, 343, -135, -363, -872, -568, -127, -149, -36, 508, -22],
 [-1420, -172, 150, 364, 422, -503, 526, -279, 727, -647, -21, -146],
 [674, -27, -1286, 44, 535, 371, -1127, -804, -90, 402, 417, -372],
 [-423, 304, -75, 41, -935, -16, 915, -754, -1114, -857, 1300, -38],
 [-415, 669, 752, 857, -179, 254, -827, 883, 668, 1576, -163, 176],
 [-496, -354, 1460, 267, -113, -1330, 949, 643, 1499, 444, -614, -320]]

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[User]
Calculate the rank of matrix A where A =
[[146, -779, -448, 135, 1215, 615, 306, -1721, -176, 189, -1056, -350],
 [522, 507, -381, 414, -1164, 9, -676, 278, -949, -157, 547, 290],
 [-512, -49, 64, -1146, 903, 681, 1353, -166, 587, -330, -459, -235],
 [-780, 108, -964, 994, -48, 132, 44, -41, -882, 580, 249, -532],
 [-167, 413, -686, 955, -588, 128, -273, 242, -1755, 758, 119, 78],
 [125, 479, -689, 535, -719, -145, -606, 145, -565, 145, 616, 605],
 [16, -384, -26, -504, 1212, 285, 502, -930, 434, 246, -802, 526],
 [513, 466, -221, 259, -1338, -131, -745, 444, -322, -585, 852, 14],
 [669, -178, 575, -953, 94, 491, 391, -356, 214, -725, -504, -174],
 [-1275, 737, -392, -214, -512, -97, 688, 1455, 506, -225, 1148, -399],
 [-657, -27, -771, 615, 303, -327, -222, -204, 543, 315, 483, 135],
 [-283, 488, -725, -132, 322, 312, 398, -99, -669, 616, -105, 1107]]

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[User]
What is the rank of the matrix:
[[84, 270, -505, 332, -651, -490, 34, -581, -620, -24, -570, -426],
 [525, -279, -142, -985, 1041, 101, -332, 571, 217, -291, 24, 78],
 [-447, -124, 879, 185, 23, 384, 21, 201, 712, -209, 1178, 317],
 [-315, -229, 682, -21, 407, 583, 98, 509, 687, 169, 680, 512],
 [489, -195, -150, -853, 789, -55, -356, 359, 125, -439, 120, -66],
 [84, 103, 123, -94, -272, -425, -307, -380, -9, -822, 718, -413],
 [12, 2, 106, -64, -16, -78, -102, -56, 74, -264, 308, -82],
 [-267, 54, 17, 449, -273, 194, 295, -23, -62, 543, -354, 195],
 [45, 108, -367, 189, -231, -120, 129, -169, -364, 307, -642, -87],
 [-312, 208, 546, 416, -806, -416, -208, -650, 156, -936, 1300, -416],
 [294, -332, 174, -818, 1042, 348, -222, 702, 476, -142, 292, 298],
 [-294, -77, 546, 140, 7, 259, 35, 133, 441, -84, 700, 217]]?

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[User]
What is the rank of the matrix:
[[-302, -142, -166, -198, -299, 79, -173, -313, 16, 203, 124, -25],
 [308, 252, 196, 252, 322, 14, 182, 350, -56, -322, -336, 14],
 [-156, -548, -204, -324, -230, -378, -114, -298, 184, 614, 992, 38],
 [886, 252, 446, 504, 851, -377, 499, 871, 14, -419, -42, 91],
 [992, 365, 520, 603, 966, -349, 563, 999, -15, -558, -209, 93],
 [-98, -159, -82, -117, -115, -74, -62, -134, 47, 187, 261, 4],
 [-688, -379, -392, -477, -690, 131, -397, -729, 57, 522, 391, -51],
 [-134, -530, -190, -306, -207, -377, -101, -273, 180, 591, 968, 39],
 [1160, 266, 568, 630, 1104, -550, 650, 1122, 42, -480, 70, 126],
 [440, 360, 280, 360, 460, 20, 260, 500, -80, -460, -480, 20],
 [-818, -65, -370, -387, -759, 496, -452, -756, -75, 207, -289, -102],
 [-892, -73, -404, -423, -828, 539, -493, -825, -81, 228, -311, -111]]?

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[User]
Calculate the rank of matrix A where A =
[[1293, 456, 548, 433, 988, 682, -266, 973, -669, -849, -141, 423],
 [-460, -806, 366, 193, 676, 259, -897, 957, -265, 800, 468, -583],
 [-118, -349, 252, -814, 696, 267, -1273, 1286, -942, 199, -280, -929],
 [1046, -220, 410, 772, 311, 547, 201, 891, -246, -975, -99, 832],
 [172, 653, 52, -1567, 436, 524, -945, 1105, -1179, 339, -439, 143],
 [325, 284, 81, 522, -4, -174, -56, 480, -496, -189, 197, -64],
 [-519, -29, -91, 543, -936, -592, 215, 51, 361, 418, 386, 227],
 [-176, -387, -427, -1117, 86, -50, -177, -178, -556, -342, -637, -972],
 [-708, -134, -294, -18, -528, -391, 118, -328, 109, 704, 352, -116],
 [412, 289, 27, -1522, 551, 638, 175, 86, 459, -271, -818, -41],
 [40, -314, 352, 1073, -650, -420, -965, -679, -156, -1356, -530, 481],
 [394, 31, 74, 881, 573, 180, -198, -276, -816, -242, 390, 143]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-32, -241, 83, -575, -349, 199, 461, 137, 401, 173, 153, -913],
 [276, -126, 131, -146, -267, 283, -304, -310, -280, 175, -169, -612],
 [-1071, -529, 838, 28, 808, -765, 1072, 975, 644, -1054, -357, -391],
 [672, 397, -553, -179, -642, 336, -806, -733, -271, 674, 189, 554],
 [82, -146, 47, -981, -680, 22, -173, -283, 457, 410, 70, -63],
 [-134, 358, -548, 698, 591, -1, 259, 446, -94, 77, 546, 1127],
 [-563, -281, 75, -191, 376, -41, 1001, 844, 563, -76, 435, -238],
 [46, 282, 59, -625, -697, -757, -506, -665, 605, -289, -492, 734],
 [-467, -457, 420, 425, 760, 167, 820, 810, -139, -364, 42, -973],
 [-369, -422, 542, -377, 71, -188, 314, 250, 277, -289, -251, -603],
 [-622, 125, 298, -962, -497, -1351, 312, -76, 1468, -777, -463, 860],
 [713, 209, -655, 129, -239, 934, -686, -378, -757, 1091, 609, 341]]

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[User]
Calculate the rank of matrix A where A =
[[-115, 90, -10, -55, 65, 95, 0, 10, -75, 125, -100, -15],
 [460, -360, 40, 220, -260, -380, 0, -40, 300, -500, 400, 60],
 [368, -288, 32, 176, -208, -304, 0, -32, 240, -400, 320, 48],
 [-506, 396, -44, -242, 286, 418, 0, 44, -330, 550, -440, -66],
 [-345, 270, -30, -165, 195, 285, 0, 30, -225, 375, -300, -45],
 [598, -468, 52, 286, -338, -494, 0, -52, 390, -650, 520, 78],
 [-23, 18, -2, -11, 13, 19, 0, 2, -15, 25, -20, -3],
 [437, -342, 38, 209, -247, -361, 0, -38, 285, -475, 380, 57],
 [276, -216, 24, 132, -156, -228, 0, -24, 180, -300, 240, 36],
 [506, -396, 44, 242, -286, -418, 0, -44, 330, -550, 440, 66],
 [115, -90, 10, 55, -65, -95, 0, -10, 75, -125, 100, 15],
 [161, -126, 14, 77, -91, -133, 0, -14, 105, -175, 140, 21]]

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[User]
Find the rank of the matrix:
[[-16, -453, -374, -435, 134, -308, -1876, -532, -227, -434, 1459, 38],
 [-72, 886, -1372, 1101, -633, 1221, -1877, -1008, -205, 338, 631, 299],
 [513, -665, -908, -264, -28, 561, 767, 1231, 761, -274, 357, 645],
 [1840, 824, -1436, 1304, 241, 760, -1165, -511, -557, 1020, -95, -388],
 [-6, -161, -977, -224, 291, -77, -879, -473, -512, -264, 1424, 858],
 [-297, 534, 562, 1065, -508, 129, 300, -108, 116, 661, -1639, -815],
 [386, -178, -7, -77, -237, 835, 405, 424, 451, -649, -149, -652],
 [767, 751, 949, -8, 426, 515, 406, -429, -166, -168, -852, -1246],
 [-447, -456, 0, -271, -235, 629, 159, 634, 1340, -807, 72, 71],
 [-663, 412, 331, 484, -182, -826, -954, -648, -96, 917, -329, 207],
 [816, 728, 1699, -600, 879, 220, 1094, -144, -683, -66, -1133, -1278],
 [-5, -348, -1009, 1151, -1410, 555, 565, 1106, 452, 748, -853, 35]]

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[User]
What is the rank of the matrix:
[[273, 294, -20, 117, -20, -1223, 530, 294, -223, -668, -210, 169],
 [-287, 525, -516, 978, 202, -607, -136, 682, -306, 243, 826, -546],
 [-335, -182, 2, -225, -362, 117, 785, 438, 779, 447, -510, 488],
 [-252, 183, -162, -343, 97, 295, 3, -106, 101, 64, -204, 124],
 [-21, -112, 80, -61, -268, -401, 677, 348, 395, -7, -392, 366],
 [-363, -74, -152, -161, 289, 476, -290, -384, 7, -140, -142, 51],
 [-221, 182, -85, -337, -342, 738, 202, 385, 521, 1046, 35, 42],
 [147, 230, 1, -5, -220, 90, 34, 315, 41, 522, 269, -164],
 [536, -953, 721, -183, -260, 805, -406, -635, 99, 89, -53, 10],
 [43, 233, 92, -950, -347, 216, 614, 100, 466, 289, -678, 512],
 [-39, 110, -155, 769, -112, -832, 380, 703, 23, 76, 345, -148],
 [-407, 974, -768, 821, 346, -1321, 260, 834, -407, -250, 502, -321]]?

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[User]
Find the rank of the matrix:
[[500, 64, 1035, -1722, 448, -185, 1255, 286, -405, -1821, 1570, 208],
 [-12, 467, 279, -423, 399, 590, 307, 211, -188, 53, 558, -388],
 [381, 268, 360, -432, 472, 726, 436, 399, -115, -199, 579, -100],
 [489, 1346, 861, -385, -685, 323, 565, 535, 94, 839, 137, -1623],
 [-659, 470, -164, 678, -156, -66, -261, -841, -338, 970, -444, -576],
 [-104, 541, 41, -86, 82, 476, -212, 205, -49, 788, 94, -598],
 [101, 676, 925, -557, -567, -505, 56, -229, -185, 144, 560, -751],
 [-243, 295, -23, -829, 511, 46, 818, 0, -490, -186, 307, -271],
 [-705, 218, 826, 310, 506, -241, -5, -741, -173, 600, 82, -62],
 [-476, -312, -323, 522, -119, -573, -1130, -665, -118, 1030, -562, 314],
 [-1040, 75, 632, -504, 826, -591, 406, -455, -239, 166, 259, 24],
 [183, 573, -86, -371, -770, -527, -764, -1023, -1002, 931, 182, -594]]

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[User]
Calculate the rank of matrix A where A =
[[45, 135, -345, -180, 315, -300, 75, 90, -210, -150, 390, 195],
 [21, 63, -161, -84, 147, -140, 35, 42, -98, -70, 182, 91],
 [12, 36, -92, -48, 84, -80, 20, 24, -56, -40, 104, 52],
 [-27, -81, 207, 108, -189, 180, -45, -54, 126, 90, -234, -117],
 [-72, -216, 552, 288, -504, 480, -120, -144, 336, 240, -624, -312],
 [-27, -81, 207, 108, -189, 180, -45, -54, 126, 90, -234, -117],
 [-21, -63, 161, 84, -147, 140, -35, -42, 98, 70, -182, -91],
 [75, 225, -575, -300, 525, -500, 125, 150, -350, -250, 650, 325],
 [-18, -54, 138, 72, -126, 120, -30, -36, 84, 60, -156, -78],
 [24, 72, -184, -96, 168, -160, 40, 48, -112, -80, 208, 104],
 [45, 135, -345, -180, 315, -300, 75, 90, -210, -150, 390, 195],
 [48, 144, -368, -192, 336, -320, 80, 96, -224, -160, 416, 208]]

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[User]
Find the rank of the matrix:
[[-737, 435, 1114, -174, -936, 252, -914, 459, 268, 902, -45, 260],
 [-275, -621, -58, -611, -315, -605, -188, 405, -831, 441, -460, -753],
 [-433, -244, 1140, -698, -159, -438, -234, -387, -496, 16, -376, -722],
 [828, 17, -520, -183, 263, -58, 1, -795, 84, -277, -170, 182],
 [68, 566, 571, -356, -692, 318, -831, -282, 297, 485, 16, 404],
 [129, -583, 32, -460, -39, -653, -305, -258, -319, 428, -851, -325],
 [215, 591, -478, 269, -131, 641, 110, 201, 223, -267, 792, 405],
 [-68, 338, -433, -22, -388, 406, -1, 576, -223, -5, 674, 4],
 [530, -271, -938, -40, 477, -140, 582, -174, -398, -590, 169, -296],
 [-329, 492, 337, 32, -23, 506, 385, 171, -183, -663, 960, -240],
 [240, 463, 23, 111, 29, 406, 26, -309, 295, -314, 412, 316],
 [-870, -207, 232, -640, -715, -148, -72, 1098, -1140, 264, 413, -1020]]

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[User]
Find the rank of the matrix:
[[-587, -864, -1087, -384, -374, -1082, 554, -513, 280, 1082, 451, 164],
 [-503, -928, -529, 1225, -8, 103, -1117, -1151, 449, -90, -2306, -708],
 [-205, -712, -690, 22, -784, -1077, 178, -455, 349, 1023, 752, 31],
 [-813, -344, 90, -645, -922, -597, 35, 112, 321, 1309, 1169, -31],
 [-386, 386, -319, -8, -697, 107, -601, 1292, -894, -1536, 1113, -1521],
 [-1890, -189, -1494, 613, 640, 1, -400, -585, 447, 583, -828, -184],
 [646, -410, 195, -386, -2004, -327, -418, -504, -451, 1193, 405, -809],
 [-903, 550, 829, -1091, -20, 721, -175, -144, -331, -1442, 1036, 460],
 [488, -175, -1001, -155, -614, -372, 353, -271, -991, -1756, -833, -1532],
 [389, 944, 145, 640, 128, -61, 558, 610, 511, -1041, -578, -573],
 [272, 1514, 719, 955, 257, 859, -599, 536, -174, -425, 77, -411],
 [-1094, 1616, 20, 705, -233, -251, 57, 875, 586, -197, 1293, -615]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-829, -304, 627, -299, 778, -24, 117, -1075, -906, -117, 1898, -422],
 [1856, 1390, 1009, 1243, -281, -743, -593, 2762, 242, -1261, -1618, 1278],
 [-1333, -563, 96, -479, 531, -845, 11, -666, 5, 424, 205, -904],
 [863, -407, -1174, -461, 583, 180, -473, 469, 270, 234, -1088, -619],
 [965, -506, -695, 675, 49, -221, -1250, 787, 774, -76, -1266, 93],
 [-870, -79, -1824, -1123, 342, -363, -418, -1590, 320, 527, -652, 159],
 [-664, 56, -1515, -2312, 568, 844, 755, -1385, -312, 1122, -436, -24],
 [486, -286, 668, 776, -1162, 302, 371, -729, -441, 190, 321, 607],
 [-303, 21, -192, 172, 573, 428, -75, 24, -261, -711, 835, -144],
 [-636, -632, -710, -1072, -72, 1146, 554, -1462, 54, 934, 386, -900],
 [-1370, -427, -369, -931, 884, -784, 97, -836, -221, 455, 391, -704],
 [-15, -167, 415, 620, -574, -426, 19, -602, -366, 50, 523, 757]]

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[User]
What is the rank of the matrix:
[[8, 816, -140, 265, -625, -194, 1054, -331, 757, -1197, 34, -5],
 [-1057, 46, -1355, 837, 765, -1127, -280, -57, -15, 463, -217, -983],
 [-148, 409, 5, 81, -1401, -121, 368, 1187, -50, -544, -969, 919],
 [-212, 596, -475, 612, -380, -188, 346, -474, -2, -611, 346, -49],
 [-1095, -221, -230, 602, 809, -613, -946, 195, 302, 339, 200, -544],
 [1017, 86, 1172, -694, -824, 1050, 257, 864, -196, -20, -64, 1193],
 [817, 261, 203, -580, 796, 350, 584, -867, 38, 774, 1111, -183],
 [564, 36, 455, -145, -1658, 444, 688, 1350, -530, -358, -936, 1349],
 [-596, 419, 125, 70, -68, -189, 124, -308, 973, -1278, -263, -435],
 [-434, 395, -241, -222, 885, -392, 109, -783, 528, 216, 542, -699],
 [-754, -715, 729, 41, 931, -2, -976, -553, 756, -476, 335, -704],
 [1090, 29, 921, -1140, -830, 599, -226, 1904, 471, 293, -1169, 1154]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[-536, 1534, 59, 752, -115, -247, 690, -159, -643, -91, -353, -927],
 [572, 1053, -8, -321, 1239, -505, -796, -603, 1302, 894, 1304, -307],
 [-261, 308, -319, -77, 216, -920, -465, -238, -32, -617, 1095, 475],
 [-122, -291, -1232, 1020, -110, -56, -54, 431, 346, 809, -149, 1303],
 [140, 1296, 760, -165, 721, 424, 597, -126, -251, 437, -45, -2033],
 [-724, 1459, -636, 501, 402, -732, 271, -1005, 366, -94, 179, -369],
 [39, -10, 650, -425, -188, -1182, -1368, -495, 464, -212, 1405, 536],
 [-1001, 484, 89, 925, -227, -954, -569, -1132, 548, 773, -396, 116],
 [-366, -1366, 954, -681, -216, -945, -1048, -180, -864, -1551, 162, 943],
 [-584, -102, 689, 372, 763, -399, -81, -92, -1188, -523, -1112, -171],
 [434, 483, -1245, 473, -489, 1053, 1167, 844, 262, 657, -4, -108],
 [-184, 177, -705, 318, -598, 337, 816, 318, -343, -392, -307, 127]]

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[User]
Find the rank of the matrix:
[[211, 13, 137, -38, 495, -734, -512, -122, -551, -443, 20, -728],
 [-1158, -61, 592, 1022, -82, 1708, 498, -1533, -275, -1079, -878, 247],
 [174, 1005, -1030, -591, -296, -1272, -591, 262, -762, -84, 279, -389],
 [231, -714, 1337, -472, 518, -1303, -339, 388, -303, 3, 2057, -742],
 [314, -40, 523, 458, 386, 1223, -147, -838, -318, 248, -937, 60],
 [-950, 741, -527, 18, -1212, 161, 181, -343, 125, -973, -1353, -455],
 [-114, 74, 151, -395, -581, 656, 477, 332, 225, 757, 438, 140],
 [-875, -1305, 279, -393, -345, -746, 1062, 1487, 120, -52, 1330, -1346],
 [-1104, -404, -1078, 103, -490, 269, 838, 642, 426, -1102, -1555, -1049],
 [-773, 492, -966, 236, -752, 591, 577, -167, -461, 11, -295, 316],
 [72, -421, -222, 356, 581, -538, 144, 405, 362, -284, -34, -12],
 [1936, 312, 1456, -984, 546, -61, -1869, -767, 184, 848, 221, 582]]

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[User]
Compute the rank of the given 12x12 matrix:
[[71, -827, 457, -896, -214, -874, 751, 469, 107, 1233, 503, 426],
 [-520, 536, -1251, 468, -342, 87, -878, -598, -348, -49, -96, -588],
 [-1002, -103, 157, -83, -465, 120, 673, -565, -843, -1336, -17, -282],
 [774, -1026, 1080, -1292, 908, -1257, 876, 1113, 87, 277, 1023, 526],
 [758, 771, 31, 852, 245, 391, 55, -28, 467, 497, 81, 196],
 [829, -525, 1185, -1025, -38, -606, 350, 1146, 380, 1012, 323, 400],
 [961, 1326, 987, 641, 910, 90, 356, 1064, 720, -538, 596, -819],
 [147, -1180, 759, -1634, -679, -749, -51, 863, 119, 1367, 132, 372],
 [-1065, -1041, -2, -136, -191, -13, 988, -367, 390, 518, -563, 371],
 [85, -622, 45, -53, -140, 982, -624, -624, 260, -50, -528, 719],
 [-636, 897, -259, 1223, -140, 959, 297, -767, 297, -582, -137, -609],
 [-359, 113, -918, 402, -473, 735, -833, -1176, -357, -210, -9, 69]]

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[User]
Determine the rank of the following matrix:
[[-1127, 255, -75, -315, 899, -653, -363, 999, -57, -368, -618, -250],
 [1283, 178, 1514, -341, -567, 632, -291, 353, 349, 305, 1077, -1216],
 [-683, -1024, -489, -112, 285, 782, 391, 1514, -932, -284, -680, 866],
 [610, -226, 116, -1297, -1772, -691, -41, -857, -272, 297, 179, 580],
 [-397, 366, -177, -32, -137, 567, -183, -33, -951, 836, 226, -512],
 [288, -425, -28, -466, -459, 1025, 324, 660, -485, 366, -1120, 464],
 [-818, 1246, 258, -617, -489, -1324, -293, -1138, -531, -263, -411, -24],
 [-1848, 1184, 879, 770, 2061, 809, 61, -216, -1099, -380, -399, -345],
 [316, -361, 923, -48, -465, 1128, -199, -537, -2, 140, 1098, 349],
 [1618, 291, 1959, -1560, -785, 791, 466, -504, -606, 729, -326, -411],
 [758, -1067, 345, -532, 242, 417, 544, 1403, -109, -98, -215, 88],
 [-875, 184, -1641, -362, -360, -1101, -279, -1820, 498, 479, 757, -821]]

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[User]
Compute the rank of the given 12x12 matrix:
[[100, -310, -729, 44, 249, 83, 371, 230, 459, 80, -10, -481],
 [447, 117, 411, -799, -1248, 1574, 130, -412, 670, -513, 356, -758],
 [247, -868, -784, 743, 597, -586, 494, 242, 47, 1376, -691, 27],
 [-280, -82, -661, 275, 282, -371, 256, 491, -94, 114, -152, -152],
 [763, 235, -774, -97, -430, -445, 46, -306, -178, 771, -883, -391],
 [-347, 231, -306, -67, -167, 269, 99, 328, 217, -437, 56, -487],
 [282, 274, 464, -666, -1091, 920, 19, -258, -35, -448, 349, -186],
 [111, -489, 826, 32, 238, 641, -113, -427, 624, 30, 331, 143],
 [1052, 336, -935, -126, -415, -337, -95, -640, 335, 926, -1268, -873],
 [-172, -360, 7, 423, 667, -545, 34, 159, -205, 347, 0, 489],
 [-644, -658, -265, 392, 43, 625, 638, 792, 337, 53, 263, -308],
 [326, -552, 489, 367, 1115, -73, -363, -713, 979, 428, -141, 80]]

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[User]
Compute the rank of the given 12x12 matrix:
[[634, 270, -600, 596, -177, -614, -323, -709, -28, -39, 1165, 24],
 [-471, -980, 1708, 540, 66, 747, 894, -484, 442, -826, -880, -468],
 [23, 89, 565, -416, -219, -541, 1553, -766, 791, 303, -236, -560],
 [396, 543, -1618, 253, -23, -496, -740, 169, -688, 563, 1329, -56],
 [144, 525, -362, 503, 625, -854, -904, -525, -342, 25, 633, 18],
 [-300, 27, 1210, -1590, 196, -682, 1086, -277, 1304, 72, -1631, -50],
 [367, -377, 80, 198, -218, 242, -1195, 203, 259, 680, -246, 209],
 [101, -598, 12, 595, -444, 353, 269, 36, -338, 295, 214, 134],
 [902, -693, -353, -634, -1463, -433, 1185, -216, 734, 883, 210, 554],
 [475, 825, 616, 123, -103, -659, 71, -919, 724, 599, -60, 223],
 [330, 445, -460, -234, -222, 188, -378, 140, 218, -427, 408, 146],
 [-1690, 1013, 415, 208, 2282, -310, 2, -23, -1019, -892, -441, -1342]]

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[User]
Find the rank of the matrix:
[[202, -202, 821, 227, 413, -688, 184, 714, 294, 775, 433, -114],
 [40, 696, 168, -396, 326, 102, -478, -270, 122, 66, 70, -576],
 [-358, 16, -341, -119, -557, -248, 236, 150, -582, 455, 455, 114],
 [-228, 136, 256, -118, -191, -691, 199, 543, -373, 1031, 801, -168],
 [82, -167, 118, 128, 84, -46, 72, 102, 118, -19, -56, 84],
 [-228, 434, 38, -312, -149, -327, -73, 135, -341, 643, 555, -324],
 [-244, -318, -348, 108, -518, -138, 358, 162, -422, 168, 194, 360],
 [228, -239, 673, 245, 397, -472, 142, 534, 338, 470, 213, -42],
 [-384, -108, -870, -88, -769, 305, 195, -321, -621, -303, -57, 372],
 [-480, 202, -944, -302, -813, 319, 49, -435, -751, -193, 75, 168],
 [178, -248, 937, 257, 396, -889, 273, 903, 247, 1034, 616, -114],
 [158, 124, -233, -53, 190, 619, -307, -561, 279, -832, -622, -30]]

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[User]
Find the rank of the matrix:
[[-344, 153, -192, -656, -50, 713, -76, 21, -943, 619, -193, 70],
 [1032, 378, 167, 977, 24, 337, 328, -828, 219, -101, 886, -117],
 [-230, -146, 303, -464, 221, 492, -333, 344, -743, 104, 239, -104],
 [-1114, -339, 580, -1935, 355, 128, -98, 932, 184, 343, -522, -81],
 [-1449, 359, -640, -130, -1000, -1853, -275, 1014, 170, 75, -1364, -225],
 [543, -590, -81, 1194, 155, 518, -602, -663, 400, -996, -222, 211],
 [-399, 248, 349, 213, -444, -535, -86, 242, 285, 200, -191, -464],
 [-653, 37, 73, -736, -507, -1060, 288, 480, 62, 446, -604, 91],
 [330, 139, -963, 613, -119, -498, 276, -46, -459, 72, 53, 319],
 [-244, -340, 879, -958, 293, 283, -177, 508, -600, 175, 416, -92],
 [-733, 98, -367, -904, -143, -1623, 462, 1110, 179, 266, -304, 94],
 [-200, -202, -552, -1008, 398, -412, 147, 737, -863, -61, 192, 536]]

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[User]
Find the rank of the matrix:
[[100, 254, -124, -690, -1211, 786, -355, 1032, 353, 34, -626, 888],
 [-701, -1087, -248, -317, 654, 114, -552, 663, 346, 2028, 511, -1020],
 [-261, -374, -72, 1, 762, -288, 358, -262, -133, -406, 470, -75],
 [-597, -380, -1301, -1393, -268, 770, -1125, 35, -824, -562, 926, -244],
 [-127, -586, 327, 430, -672, 486, -35, 325, 505, 869, -1456, 206],
 [-28, -155, -54, -258, -722, 298, 571, 145, 156, -165, -887, 392],
 [558, 1119, -154, 22, -51, -464, -430, -583, -519, 89, 931, -858],
 [811, 1498, 144, -316, -560, -344, 723, -38, -141, -1496, 308, 820],
 [140, 28, 387, 607, -33, 16, -433, 77, 246, 694, -348, -132],
 [232, 109, 419, 290, -573, 66, 500, 244, 439, 272, -967, 372],
 [537, 888, 10, 302, -344, -292, -216, -686, -406, -53, 152, -567],
 [0, 138, -339, -111, -136, 194, -163, -617, -598, -1485, 44, 417]]

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[User]
Determine the rank of the following matrix:
[[-1104, 365, 378, 1294, 512, 382, -716, -718, 876, -106, 738, 475],
 [117, -577, -475, -802, 181, -22, 591, 314, 303, 1063, 159, 613],
 [-978, -432, 53, -230, 419, 328, 95, 762, 159, 844, 1085, -20],
 [-116, 116, -355, -378, -1445, 851, -35, 243, 113, 591, 141, 530],
 [1633, 1422, -435, 1096, -595, -1727, -1413, -432, 193, -727, -1303, 486],
 [633, -589, 407, -470, 765, 609, 1282, -1659, 438, -740, -761, 70],
 [22, -736, 605, -544, 255, 401, 627, 370, -1056, -751, 120, -397],
 [753, 209, -4, 451, 199, -643, -683, 346, -424, -515, -180, 357],
 [2149, -244, -29, -1018, -157, -586, 991, -586, -257, -1059, -1909, 232],
 [1115, -382, -408, -724, 1092, 183, 354, 293, 260, 406, 70, -500],
 [744, 119, 735, -35, -148, -1635, -412, 1036, -247, -828, -311, 1037],
 [-183, 692, -48, 1213, -259, -136, -1265, -364, 397, 214, 715, 887]]

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[User]
Determine the rank of the following matrix:
[[-81, 153, -162, -225, 216, 99, 45, -126, 180, -27, -225, 189],
 [-180, 340, -360, -500, 480, 220, 100, -280, 400, -60, -500, 420],
 [-81, 153, -162, -225, 216, 99, 45, -126, 180, -27, -225, 189],
 [198, -374, 396, 550, -528, -242, -110, 308, -440, 66, 550, -462],
 [9, -17, 18, 25, -24, -11, -5, 14, -20, 3, 25, -21],
 [207, -391, 414, 575, -552, -253, -115, 322, -460, 69, 575, -483],
 [27, -51, 54, 75, -72, -33, -15, 42, -60, 9, 75, -63],
 [-126, 238, -252, -350, 336, 154, 70, -196, 280, -42, -350, 294],
 [-144, 272, -288, -400, 384, 176, 80, -224, 320, -48, -400, 336],
 [117, -221, 234, 325, -312, -143, -65, 182, -260, 39, 325, -273],
 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
 [135, -255, 270, 375, -360, -165, -75, 210, -300, 45, 375, -315]]

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[User]
What is the rank of the matrix:
[[-721, -677, 501, 371, 50, 239, 866, 366, -501, 555, -798, -873],
 [322, 745, -212, -880, 1913, 449, 301, 269, 169, -1754, -575, -147],
 [-706, 793, -280, -1465, 142, 275, 1000, 859, 888, 686, 993, -64],
 [-32, -60, 590, 194, 250, -192, 824, -70, -954, -38, -1106, -754],
 [-186, -97, 580, -227, -606, -481, 2202, 593, -876, 1232, -223, -888],
 [-734, -239, -115, -720, 589, 58, 1003, 576, 38, 253, 1230, 533],
 [-66, -989, 608, 1455, -1218, -873, 471, -95, -1197, 790, -472, -611],
 [652, -946, 138, 500, -594, 757, -800, -1152, 29, 703, 656, 937],
 [390, 289, -226, -482, -236, 220, 582, 373, 768, 82, 1328, -104],
 [-601, -442, 278, 1218, -449, -1047, 255, 620, -728, -231, -643, -1013],
 [-491, 117, 724, -83, -132, -46, 558, -355, -389, 287, 728, -545],
 [1517, 205, -285, -826, 444, 1262, 417, -278, 604, -13, -498, 228]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[-268, 132, -308, -661, 607, 1057, 547, 936, 347, -1363, -494, -892],
 [-1352, -592, -179, 1337, 744, -693, -1359, 341, 284, 199, 301, 555],
 [1089, -837, 286, 786, 138, -243, 39, 660, -1048, 190, 379, 367],
 [-273, 210, 950, 40, -1245, -629, -953, 300, 970, 299, -90, -212],
 [1645, 1099, -25, 849, -1068, -599, -786, -396, 130, 1097, 84, -678],
 [1033, -245, -906, 179, 670, 717, 157, 1147, -125, -351, 461, -438],
 [-647, 648, -534, -1065, -218, 200, 515, -749, 768, 40, -252, 77],
 [1038, 687, -597, -813, -947, 265, 583, -1696, 295, 785, 70, 243],
 [-887, 15, 5, -1143, 312, -386, 1174, 868, -96, -246, -258, 345],
 [-806, -196, 34, -1598, 339, 162, 1386, 228, -225, -57, 268, 569],
 [460, -211, -586, -391, 152, 619, 66, 228, 359, -335, 227, -277],
 [985, -407, 379, -508, -288, 871, 776, -1372, -745, -589, -420, -70]]

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[User]
Determine the rank of the following matrix:
[[114, -77, -304, 694, 196, 344, -796, -363, 712, 761, 789, -552],
 [-487, -896, 37, 1177, -657, -1084, 644, -734, 78, 40, -135, -948],
 [-595, -230, -1188, 1188, -836, 61, -419, -78, 330, -684, 832, -102],
 [-413, 990, 2261, -631, -150, -682, 334, 160, -527, 1269, 596, 391],
 [-145, -622, -159, 805, -1500, -1255, 265, -156, -460, -44, 247, 9],
 [-818, 229, 727, 34, 423, 293, 339, -1138, 298, 981, 356, -311],
 [44, -75, -363, -625, -983, 96, 718, 202, -740, -146, 19, 519],
 [-233, 590, 711, -970, 2237, 906, -116, 997, 435, 387, -528, 1110],
 [-355, 882, 84, -487, 530, -176, -1137, -530, 491, 57, -378, 1403],
 [355, 479, 2, -1286, 1887, 728, -197, 723, 236, -312, -1409, 1281],
 [-345, 765, 1539, -363, 516, -317, 50, -122, -368, 1054, 47, 1070],
 [-427, -442, -743, 224, 207, -47, -379, -715, 924, 344, -85, -152]]

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[User]
Calculate the rank of matrix A where A =
[[110, 122, 575, 218, 1247, -677, -395, 116, -52, 1227, -380, 317],
 [121, -131, -461, 328, 519, 143, 443, -116, 84, -311, 646, 53],
 [-507, -1483, -19, 770, 115, 218, 153, -663, -427, 143, 583, 770],
 [-347, -553, 1227, 176, 297, -139, -839, -462, -747, 1115, -728, -144],
 [432, 20, -990, 532, 1184, 44, 782, -252, 267, -614, 1150, 181],
 [-505, -146, 56, 642, 504, -366, -367, -79, -318, 467, 72, 297],
 [-1042, 854, 364, 654, 182, -185, -734, 695, -515, 558, -233, -851],
 [521, -602, -746, -418, -704, 404, 877, -191, 567, -937, 532, 622],
 [475, -344, 517, -592, -261, 1, -145, -393, 7, 215, -550, 156],
 [-747, 594, -565, 746, 83, -106, -235, 218, -284, -403, 437, -363],
 [895, -576, 83, -408, 515, 227, 619, -379, 324, 31, 202, 285],
 [59, 36, 319, 302, 793, 320, -11, -298, -419, 109, 243, -794]]

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[User]
What is the rank of the matrix:
[[-282, -596, 326, -21, -51, -48, -117, -197, -170, -656, 938, 330],
 [-709, 278, 340, -494, 238, -44, -722, 17, 195, -1332, 541, 374],
 [-217, 105, -67, 571, -58, 103, -345, 806, -513, -534, -714, -446],
 [331, 423, -793, 290, -393, -209, -752, 475, 197, 416, -214, 372],
 [-95, -804, 254, 645, -148, 86, 207, 302, -713, -363, 195, -292],
 [59, 506, -221, -450, -109, 133, 35, -517, 336, 247, -596, 210],
 [-206, 334, 452, 12, 454, 356, 706, 178, -312, -88, -1306, -1032],
 [-399, 657, 262, -632, 277, 262, 93, -385, 222, -478, -785, -156],
 [-288, -501, 182, -142, -142, -132, -405, -262, 5, -717, 1176, 642],
 [-138, -237, 195, 242, 193, -169, -218, 506, -134, -352, 599, -110],
 [150, -80, 250, 573, 175, 400, 1025, 337, -694, 464, -1566, -1258],
 [-121, -185, -69, -561, -263, -145, -429, -768, 431, -327, 1116, 1030]]?

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[User]
Calculate the rank of matrix A where A =
[[726, -467, 835, -198, -885, 242, -741, -1271, -4, -507, -924, -320],
 [-286, -116, -912, 970, 95, 274, 903, 1585, 259, 295, 1300, 1000],
 [470, -995, 799, 116, -733, 672, -787, -681, 310, -9, -654, -172],
 [1272, -598, 444, -113, -890, -423, 25, -1195, -429, -1105, -521, 232],
 [896, -234, 409, -993, -143, -954, 101, -822, -228, -1234, -747, -551],
 [-457, -78, 708, 320, -669, 1144, -984, -558, 454, 193, -483, -456],
 [-117, -74, 77, -763, 646, -626, -45, -348, -284, -193, -424, -537],
 [615, 324, 1176, -650, -468, 300, -787, -430, 723, 357, -822, -897],
 [-148, 1262, 187, -336, -378, 393, -705, 16, 590, 466, -528, -609],
 [-1025, 621, -435, 495, 563, 572, -155, 714, 111, 1335, 513, 192],
 [206, -688, 625, 882, -392, 561, 521, 203, 160, -125, 857, 484],
 [919, 246, -337, -837, -97, -1227, 292, -648, -540, -1055, -587, -61]]

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[User]
Compute the rank of the given 12x12 matrix:
[[77, 423, 339, 143, 936, -74, -128, -196, 415, -1035, -42, 130],
 [-947, -1136, -257, 814, -7, -203, -676, 1131, -252, -298, -335, -479],
 [-764, 810, 365, 501, -571, -306, -464, 417, 635, -824, 257, 1016],
 [-456, 580, 259, 522, -76, 511, -694, 696, -150, -1244, -70, 447],
 [373, 716, 124, -99, -226, -1710, -435, 427, 812, 762, -398, -401],
 [-303, -192, -523, 440, -777, -556, -1219, 1626, 820, 599, -356, -575],
 [582, -1279, -552, 118, 338, 226, 1231, -523, -315, 56, -221, -519],
 [-322, -453, -570, -172, 222, 1546, 1045, -824, -286, 323, 727, -492],
 [-957, -60, 1309, 750, 1236, -396, 651, -950, -335, 109, 303, -144],
 [14, 312, 421, -400, 196, -1350, -307, 66, 1071, -190, -373, 1132],
 [-44, 572, 435, -164, -329, 397, 1130, -1712, 1230, 823, 1202, 596],
 [322, 65, 946, 659, -30, 763, -1433, 895, -69, -372, -414, 361]]

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[User]
Calculate the rank of matrix A where A =
[[24, -288, 240, -600, -216, -168, 192, -120, -552, 120, -552, -432],
 [-5, 60, -50, 125, 45, 35, -40, 25, 115, -25, 115, 90],
 [-19, 228, -190, 475, 171, 133, -152, 95, 437, -95, 437, 342],
 [9, -108, 90, -225, -81, -63, 72, -45, -207, 45, -207, -162],
 [-1, 12, -10, 25, 9, 7, -8, 5, 23, -5, 23, 18],
 [-6, 72, -60, 150, 54, 42, -48, 30, 138, -30, 138, 108],
 [10, -120, 100, -250, -90, -70, 80, -50, -230, 50, -230, -180],
 [-5, 60, -50, 125, 45, 35, -40, 25, 115, -25, 115, 90],
 [15, -180, 150, -375, -135, -105, 120, -75, -345, 75, -345, -270],
 [-10, 120, -100, 250, 90, 70, -80, 50, 230, -50, 230, 180],
 [6, -72, 60, -150, -54, -42, 48, -30, -138, 30, -138, -108],
 [25, -300, 250, -625, -225, -175, 200, -125, -575, 125, -575, -450]]

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[User]
Calculate the rank of matrix A where A =
[[-93, 126, -126, -309, -144, -150, 240, 84, -276, -159, 180, -306],
 [-231, 402, 78, -423, -408, 90, 420, 348, -492, -273, 60, -342],
 [218, -328, 152, 598, 356, 182, -498, -248, 576, 328, -280, 564],
 [211, -320, 136, 569, 346, 163, -477, -244, 552, 314, -260, 534],
 [-9, 76, 268, 217, -50, 317, -103, 108, 112, 72, -260, 270],
 [-175, 200, -400, -725, -250, -475, 525, 100, -600, -350, 500, -750],
 [75, -250, -550, -325, 200, -650, 100, -300, -100, -75, 500, -450],
 [22, -12, 108, 142, 24, 128, -92, 8, 104, 62, -120, 156],
 [-85, 176, 152, -47, -166, 179, 99, 172, -120, -62, -100, 6],
 [240, -432, -144, 384, 432, -168, -408, -384, 480, 264, 0, 288],
 [207, -460, -508, -7, 422, -599, -179, -468, 224, 108, 380, -162],
 [-5, 124, 508, 437, -74, 601, -219, 188, 240, 152, -500, 534]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-345, 713, -598, 207, -575, 552, -460, 23, -322, 391, -276, -230],
 [605, -149, -111, 29, 390, 19, 585, -864, -84, -618, 8, -40],
 [-441, 345, -168, 63, -417, 198, -474, 453, -78, 465, -108, -66],
 [423, -119, -62, 15, 281, 0, 412, -593, -50, -433, 12, -22],
 [392, 8, -182, 56, 194, 106, 358, -638, -116, -394, -40, -68],
 [294, -230, 112, -42, 278, -132, 316, -302, 52, -310, 72, 44],
 [-259, 315, -217, 77, -308, 217, -301, 182, -112, 280, -112, -84],
 [-195, 403, -338, 117, -325, 312, -260, 13, -182, 221, -156, -130],
 [-237, 301, -212, 75, -289, 210, -278, 157, -110, 257, -108, -82],
 [96, -576, 564, -192, 372, -492, 204, 276, 312, -132, 240, 216],
 [-417, 673, -524, 183, -589, 498, -518, 169, -278, 461, -252, -202],
 [159, 49, -122, 39, 53, 84, 136, -293, -74, -157, -36, -46]]

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[User]
What is the rank of the matrix:
[[359, 839, 1097, -114, 522, -1471, 365, 797, -306, 268, 1342, -911],
 [-305, 288, -499, -315, 18, -40, -161, 772, 270, -103, -180, 21],
 [-1136, 809, -1512, -769, -184, -476, -382, 199, -322, -1168, -1380, -477],
 [954, -486, 602, 704, -599, 1260, 689, -1299, 704, 251, 534, 567],
 [-74, 129, 41, 54, -849, 529, -419, -1079, 371, -761, -735, 169],
 [-344, -158, -437, 497, 229, 1211, -795, -872, -1108, -214, -1543, 663],
 [-406, 726, -695, -87, -725, 105, 481, -1351, -390, -476, -444, -172],
 [-211, 717, -551, -813, 315, 379, 240, -379, -566, -797, -666, 10],
 [-109, -146, -288, 584, -452, 391, 191, -1933, -1315, 739, -397, 1102],
 [-21, -1600, 179, 773, 564, 378, -1333, 264, 291, 1018, -519, 958],
 [298, 1225, 715, 747, -465, 563, 515, -756, -229, -392, 263, -275],
 [-180, -411, -950, -230, -263, 222, 221, -317, 420, 111, -202, 30]]?

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[User]
Calculate the rank of matrix A where A =
[[-393, 9, -826, -498, -850, 705, -650, 302, 862, -371, -34, 167],
 [-33, -63, -1016, -400, -414, 910, -856, -121, 328, 417, -75, -851],
 [-546, -366, -264, -838, -348, 683, -664, 575, 746, -72, 445, -1122],
 [1423, -190, -182, 702, -785, 523, -133, 49, -377, 127, -1598, 659],
 [134, 103, -1554, -158, -643, 1073, -901, -486, 275, 386, -411, -226],
 [-874, 305, 976, -362, 627, -981, 391, 418, 205, -206, 1123, -262],
 [337, 254, -681, 152, 231, 282, -418, -646, -443, 875, -125, -713],
 [269, 1231, 218, 270, 134, -871, -314, -16, -262, 875, 80, -179],
 [986, 558, 570, 1098, 892, -988, 674, -827, -1388, 855, -463, 345],
 [-952, 60, 360, -546, -12, -335, 108, 519, 682, -626, 825, 144],
 [58, -302, 644, 248, 264, -366, 656, 62, -232, -436, -46, 556],
 [-578, -594, -345, -706, -402, 760, -373, 431, 742, -475, 307, -495]]

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[User]
Compute the rank of the given 12x12 matrix:
[[868, 1002, -950, 189, -221, 1072, -561, -923, 835, 869, -1126, -488],
 [731, -1687, -272, 847, 162, -1052, -1260, 1957, 112, 862, 378, -301],
 [-999, -1120, 775, 542, 1922, -1266, -708, 1031, -670, -471, 658, 646],
 [-488, 1015, -918, -560, -890, 1353, 1598, -770, 659, -89, 453, -285],
 [757, 925, -127, 6, 1472, -572, -1259, -68, -221, -152, -500, 72],
 [245, -360, 280, -949, -711, 38, 466, 538, -655, 95, 662, -942],
 [-1040, -554, 334, 1217, 809, -342, -217, -335, 243, 137, -334, 1072],
 [1531, 553, -362, -1526, 623, -177, -939, 1037, -1005, 374, -50, -1464],
 [521, -228, 69, -839, -532, -733, -140, 1210, -318, 276, 302, -103],
 [257, -1045, -723, 1024, -790, 867, 399, 125, -299, 313, 448, -725],
 [-71, 18, 673, 208, -1114, -627, 668, -427, -268, -404, -191, 985],
 [899, -764, -17, 1331, 851, -1270, -1471, 774, 234, 701, -491, 181]]

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[User]
Calculate the rank of matrix A where A =
[[-804, -79, -592, 572, 745, 69, 167, -333, 418, 344, -79, 447],
 [636, -277, 712, -1012, -829, 391, -31, 73, -10, -360, 239, -495],
 [286, -84, 1004, -937, -523, 333, 83, 2, 169, -745, 563, -357],
 [-196, 241, -254, 509, 346, -302, -25, 59, -121, 87, -103, 201],
 [-228, 604, 672, 202, 330, -422, 58, 160, -90, -814, 514, 114],
 [-548, 462, 402, 335, 577, -283, 140, -26, 147, -611, 464, 270],
 [-100, -303, -1152, 580, 209, 13, -89, -109, -54, 1040, -719, 207],
 [-128, 585, 264, 470, 343, -541, -31, 223, -264, -446, 203, 153],
 [-184, -30, -884, 694, 352, -192, -74, -26, -118, 706, -518, 258],
 [288, 116, 528, -352, -300, -28, -28, 140, -120, -416, 236, -204],
 [232, -17, -642, 417, -32, -216, -165, 137, -333, 591, -519, 33],
 [-396, 222, 590, -111, 283, 7, 168, -98, 277, -653, 540, 102]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-430, 307, 64, 101, 221, 14, -177, -33, -148, -346, -182, 193],
 [-520, 354, 70, 132, 356, 12, -235, -104, -248, -395, -262, 226],
 [-100, 116, 34, -2, -178, 16, 13, 158, 144, -141, 66, 64],
 [360, -132, 0, -156, -828, 24, 300, 492, 624, 120, 456, -108],
 [100, 80, 50, -110, -830, 40, 225, 570, 640, -125, 410, 20],
 [120, 40, 36, -100, -708, 32, 202, 476, 544, -74, 356, 0],
 [420, -420, -114, -30, 402, -48, 27, -414, -336, 501, -114, -240],
 [-180, 248, 78, -26, -522, 40, 71, 430, 416, -307, 214, 132],
 [-330, 79, -18, 167, 975, -34, -326, -607, -740, -53, -520, 81],
 [30, -179, -72, 83, 795, -46, -179, -583, -620, 238, -370, -81],
 [-370, 117, -8, 171, 947, -30, -331, -575, -716, -98, -514, 103],
 [-20, 180, 74, -90, -842, 48, 193, 614, 656, -241, 394, 80]]

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[User]
Determine the rank of the following matrix:
[[-964, -939, -1425, -255, -1391, -1801, 2108, -205, 500, 1794, 573, 251],
 [-810, 303, 5, -1612, 963, -447, 564, -209, -1696, 376, 137, -1751],
 [728, -8, -257, -1455, -627, 935, -586, -852, -101, 1388, -1153, -416],
 [-37, 339, -167, -843, 777, 627, -45, 69, -557, 338, 37, -240],
 [473, 216, -333, -1935, 1061, 522, -356, -708, -884, 1226, -1052, 119],
 [-1387, -750, -1449, -716, -330, 903, 458, 90, 926, 367, 801, 2366],
 [1231, -440, -166, 601, 315, -590, 1107, 234, 52, -192, -805, 755],
 [160, 370, -248, 298, 1253, 1724, -474, 1125, -11, -352, 302, 659],
 [465, 830, 1097, -30, -263, 937, -1379, -369, 397, 18, -343, -153],
 [979, 330, -462, -179, 647, -420, -170, -113, -673, 1025, -266, -1230],
 [525, 875, 653, -347, 239, 955, 372, 418, -83, 167, 168, -119],
 [793, -349, 16, 107, -367, -544, 193, -677, -125, -1008, -369, -64]]

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[User]
Calculate the rank of matrix A where A =
[[10, 118, 1164, -33, -444, -69, 298, -491, 526, -271, -18, -1073],
 [-663, -724, -904, -405, 720, -818, 542, 475, 259, 358, -1394, 110],
 [-393, -780, 511, 699, 477, -701, 570, -253, 37, 897, -527, -336],
 [-309, 20, -259, 50, -63, 467, -346, -426, -1039, -634, 894, 669],
 [852, 843, -661, -350, -370, 808, -787, 392, -427, -541, 537, 657],
 [88, 179, 1196, -73, -513, -39, 311, -457, 661, -173, -9, -1158],
 [-39, -153, -575, 351, 454, -152, -182, 452, -30, 357, 40, 740],
 [-1433, -1306, 33, 442, 761, -696, 613, -871, -1285, -150, -358, 230],
 [-100, -435, -129, 912, 922, -730, -116, 547, 45, 97, -570, 674],
 [177, -140, -402, 751, 536, -19, -453, 206, -873, -24, 186, 1021],
 [-232, -337, -1007, -86, 586, -422, 114, 721, 359, 637, -602, 582],
 [700, 556, -447, -1025, -509, 375, -55, 256, 102, -202, -669, -466]]

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[User]
What is the rank of the matrix:
[[-693, 87, -288, -382, -19, 488, -747, -259, 223, -1292, -333, 1427],
 [1056, 792, -585, -620, -1635, -1655, 180, 217, 1534, 799, 1356, 1102],
 [73, -1042, 63, -74, 680, 1196, 8, -824, 455, -398, -88, 995],
 [832, 324, -654, -6, -225, 552, -438, 893, -563, 308, -757, -303],
 [227, -1083, 1121, 139, 280, 1379, 410, 649, 253, -698, -1294, 288],
 [-103, -174, -19, 29, 1632, 1182, -288, 356, -1288, -1129, -1181, -493],
 [781, 1051, -863, 30, -739, -46, 469, 613, -1031, 108, -357, 563],
 [254, 332, -751, 1433, -873, 220, -1089, 600, -85, 339, -76, 216],
 [457, 419, -527, -668, 1090, -390, -129, -917, -464, -390, 187, 675],
 [636, 275, -134, 1701, -1293, 350, 467, 708, -859, -435, 383, 10],
 [-881, 627, -904, -652, -452, -1405, -55, -669, 721, 766, 1467, 735],
 [-1539, -1032, 1376, 169, 101, -755, 431, -982, 109, 350, 633, -16]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[568, 191, -83, -34, 21, 418, -11, -415, -69, 262, 435, -324],
 [186, -240, -426, -6, 63, -426, -48, -384, 252, -723, 423, 216],
 [-419, -854, -323, 503, -70, -339, -324, 438, -571, -522, -177, -184],
 [325, 345, 154, -115, 5, 423, 73, -185, -4, 470, 132, -204],
 [427, -422, -425, 305, -8, 155, -248, -282, -413, -228, 495, -456],
 [-247, -644, -409, 271, -4, -539, -198, 100, -133, -778, 57, 112],
 [968, 320, -304, -188, 89, 340, 44, -912, 242, -9, 891, -216],
 [119, -609, -454, 355, -16, -143, -269, -79, -382, -491, 303, -268],
 [-176, 355, 169, -334, 52, -298, 229, -51, 565, -117, -144, 516],
 [-994, -64, 362, -62, -40, -554, 116, 768, 194, -132, -882, 576],
 [752, 148, -292, -80, 62, 256, -12, -692, 104, -58, 714, -224],
 [677, 459, -112, -311, 89, 187, 151, -715, 434, 28, 600, 44]]

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[User]
Calculate the rank of matrix A where A =
[[466, -364, -376, 280, -190, -182, -390, 178, 484, 170, -184, 8],
 [571, -442, -526, -146, -277, -104, -390, -158, 580, 371, -1, -61],
 [-146, 108, 216, 648, 126, -122, -10, 510, -132, -298, -280, 104],
 [152, -112, -232, -728, -136, 140, 20, -572, 136, 328, 316, -116],
 [-478, 372, 408, -120, 210, 146, 370, -54, -492, -230, 112, 16],
 [503, -386, -518, -538, -281, 8, -270, -454, 500, 463, 187, -113],
 [-492, 376, 532, 716, 292, -54, 230, 590, -484, -516, -270, 138],
 [70, -52, -100, -284, -58, 52, 0, -224, 64, 134, 122, -46],
 [14, -4, -124, -836, -82, 200, 140, -644, -8, 286, 382, -122],
 [-685, 534, 570, -282, 291, 236, 550, -162, -708, -293, 211, 7],
 [363, -282, -318, 30, -165, -96, -270, -6, 372, 195, -57, -21],
 [-448, 344, 458, 454, 248, -1, 245, 385, -446, -404, -155, 97]]

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[User]
What is the rank of the matrix:
[[-79, -50, 302, -453, 300, -216, -334, -898, -873, 477, -445, 12],
 [-83, -1230, -787, 391, -975, 182, 11, 650, 660, -354, 722, -215],
 [-629, 725, 111, 21, -232, -142, -164, -728, -177, 979, -669, -624],
 [-376, 169, 467, -70, -968, 133, 555, 371, -149, -433, 276, 674],
 [483, -1277, -428, -843, 526, -221, -389, -249, -925, 935, 649, -408],
 [484, -783, -851, 95, -324, -723, 27, -374, -311, 275, -303, -179],
 [188, -848, -889, 171, 241, -555, -732, -140, 890, -711, 110, -475],
 [-284, -227, 307, -29, 70, 777, 357, -472, -573, -206, -499, 222],
 [-459, -826, -327, -224, -273, 642, -248, 110, -192, 160, 178, -337],
 [-348, 868, 857, -1073, 1501, -70, -775, -737, -465, 434, -72, -311],
 [-1141, -57, -162, -67, 370, 2290, 1022, 308, 278, 280, -61, -1090],
 [318, 506, 150, 359, -123, 293, 557, 575, -119, 330, -35, 269]]?

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[User]
Calculate the rank of matrix A where A =
[[986, -1454, -1523, -203, -460, 361, 550, 623, 180, 893, 745, 425],
 [-279, 136, -988, -545, -666, 1605, 295, -52, 1227, -569, 854, 6],
 [-752, 376, 858, 1043, 1692, -1199, -511, -447, -91, 715, -2026, -223],
 [-1010, 468, -941, -75, 397, 149, 198, -9, 426, -243, -671, 1049],
 [-161, -477, -1406, 799, 394, -319, 841, -146, 952, 1033, -842, 279],
 [766, -359, -2074, -451, -464, 1768, 475, -30, 411, 369, 964, -459],
 [1288, -826, 970, -279, -574, -394, -265, -128, -168, 145, 976, -684],
 [-137, -31, -414, -989, 213, 1132, 74, -453, 1195, 434, 126, -1337],
 [-458, 394, 1435, 687, 775, -938, -744, -601, 961, 767, -622, 88],
 [299, -818, -2374, -373, -230, 1024, 259, 672, -14, 787, -103, 1439],
 [-603, 827, 1908, -549, -802, -854, 216, -732, 837, -746, 255, -499],
 [666, 257, 486, 223, -876, 130, -46, 680, -2043, -936, 658, -228]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-26, -77, -91, -32, 47, 122, 78, -38, -123, 14, 5, -202],
 [-300, 145, -329, 440, 240, 93, 106, 10, -393, -377, 395, -242],
 [-828, -320, -360, 928, 94, -290, 760, -840, -408, -606, 488, 168],
 [210, -162, 216, -348, -171, -27, -30, -48, 252, 297, -306, 108],
 [144, -19, 502, -90, -359, -539, -115, -146, 648, 172, -281, 892],
 [306, 60, 140, -376, -53, 115, -240, 260, 156, 257, -216, -76],
 [-560, 9, -382, 726, 217, -71, 365, -314, -444, -544, 507, -76],
 [-128, -263, -357, -64, 190, 439, 294, -142, -477, 9, 59, -738],
 [80, -587, 268, -398, -321, -111, 347, -538, 306, 418, -481, 184],
 [-156, -523, 107, -56, -216, -159, 458, -622, 123, 155, -233, 182],
 [-24, -422, 278, -144, -304, -286, 292, -508, 342, 230, -322, 428],
 [386, 411, 296, -242, -80, -122, -551, 534, 378, 143, -123, 332]]

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[User]
What is the rank of the matrix:
[[270, 76, 257, -523, -59, 754, 224, -496, 430, -523, 332, 344],
 [92, 88, 98, -182, 42, 292, 128, -224, 156, -182, 152, 112],
 [-60, -46, -62, 118, -16, -184, -74, 136, -100, 118, -92, -74],
 [-214, 456, -117, 383, 563, -306, 252, -64, -262, 383, 60, -316],
 [320, -366, 228, -592, -526, 636, -114, -184, 440, -592, 108, 446],
 [34, -201, -3, -53, -218, -24, -147, 124, 22, -53, -90, 61],
 [46, -611, -61, -51, -634, -224, -481, 468, -22, -51, -334, 111],
 [-68, -253, -104, 146, -219, -322, -251, 332, -144, 146, -230, -67],
 [-278, 372, -189, 511, 511, -522, 144, 112, -374, 511, -60, -392],
 [-118, 582, -9, 191, 641, 18, 414, -328, -94, 191, 240, -202],
 [166, -388, 85, -295, -471, 218, -224, 80, 198, -295, -68, 248],
 [104, -191, 62, -188, -243, 166, -97, 4, 132, -188, -10, 151]]?

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[User]
Calculate the rank of matrix A where A =
[[204, -1001, 410, -879, 377, 391, -945, -171, -322, -46, -953, 477],
 [-163, 183, -172, 1001, 262, 68, -791, -290, 189, 255, 919, -258],
 [64, 714, -144, 1288, -798, -692, -200, -858, -32, 989, 1765, -402],
 [-22, -810, -253, 100, 696, -753, 877, 384, -395, 46, -212, 572],
 [-375, -59, -242, 1394, -87, 64, 14, 173, -266, -566, 204, 755],
 [-310, 357, 142, 108, 31, 422, 616, 852, 78, -479, 527, 254],
 [-1012, -461, 587, 175, 381, 542, 935, 1448, -467, 203, -1220, 959],
 [194, -20, 378, 293, -302, -381, 358, 100, -21, -877, 1078, 236],
 [-1083, 262, 1362, 443, -310, 126, 522, 827, -302, 1519, 393, 69],
 [26, 291, 73, -326, 407, 68, -902, -507, 646, -922, -381, -906],
 [442, -604, 238, -276, -443, 340, -329, -79, -302, 149, -205, 524],
 [710, 949, -456, -652, -759, -163, 51, -697, 284, 1348, 1337, -957]]

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[User]
Calculate the rank of matrix A where A =
[[-171, -209, -475, -19, 133, -285, 399, -323, 38, -475, -209, 171],
 [-72, -88, -200, -8, 56, -120, 168, -136, 16, -200, -88, 72],
 [54, 66, 150, 6, -42, 90, -126, 102, -12, 150, 66, -54],
 [-45, -55, -125, -5, 35, -75, 105, -85, 10, -125, -55, 45],
 [45, 55, 125, 5, -35, 75, -105, 85, -10, 125, 55, -45],
 [117, 143, 325, 13, -91, 195, -273, 221, -26, 325, 143, -117],
 [-18, -22, -50, -2, 14, -30, 42, -34, 4, -50, -22, 18],
 [-36, -44, -100, -4, 28, -60, 84, -68, 8, -100, -44, 36],
 [90, 110, 250, 10, -70, 150, -210, 170, -20, 250, 110, -90],
 [36, 44, 100, 4, -28, 60, -84, 68, -8, 100, 44, -36],
 [-81, -99, -225, -9, 63, -135, 189, -153, 18, -225, -99, 81],
 [18, 22, 50, 2, -14, 30, -42, 34, -4, 50, 22, -18]]

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[User]
Determine the rank of the following matrix:
[[1005, -521, 434, 288, -1080, 1053, -334, 229, -606, 270, -83, -30],
 [-174, -682, -324, 696, -174, 452, 14, -468, -172, 374, -840, 342],
 [-179, 217, -13, -37, 141, 459, 495, 448, -49, 339, 5, -833],
 [335, -507, 21, 205, -165, -57, -409, -420, 187, -9, -169, 473],
 [1028, -1051, -671, 523, 108, 174, -699, -1294, 1084, 123, -551, 224],
 [913, 14, -30, -254, 15, 291, -184, -2, 577, 18, 394, -723],
 [-529, 1144, 585, -708, -141, -337, 395, 1087, -832, -403, 809, -167],
 [440, 138, 907, -434, -651, -251, -458, 524, -487, -350, 712, 521],
 [140, 277, 81, -281, 166, 60, 155, 296, 212, 33, 335, -582],
 [-10, -733, 220, 635, -527, 1057, 231, 222, -497, 757, -653, -227],
 [-393, 1663, 90, -992, 255, -648, 419, 854, -440, -765, 1044, -443],
 [-1093, 1179, -218, -584, 697, -1098, 417, 256, -148, -639, 442, 183]]

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[User]
Calculate the rank of matrix A where A =
[[35, -66, 427, -658, 66, 75, 671, 715, -135, 411, -139, 96],
 [38, 486, -70, 72, -343, -454, 268, 130, 332, 439, 166, -4],
 [-96, -411, 118, -104, 434, 351, -343, 272, 97, -362, 22, -264],
 [85, 312, -155, 330, -180, -277, -221, -135, 409, 31, 179, -108],
 [106, -27, 79, -180, -170, 77, 398, -263, -564, 131, -275, 401],
 [-628, 339, -685, 576, -86, -539, -432, -47, 622, 99, 609, -565],
 [589, 1122, 46, 378, -744, -895, 178, 126, 1078, 652, 290, 15],
 [29, 258, -90, -98, -457, -213, 646, -414, -626, 423, -222, 515],
 [85, 399, 297, -574, -386, -344, 1064, 539, -158, 855, -109, 314],
 [1013, -156, 706, -106, 117, 469, -280, -54, 152, -459, -434, 307],
 [-653, -672, -74, -450, 458, 441, 216, 226, -740, -114, -94, -79],
 [-1111, -639, -497, -34, 649, 244, -384, 337, -134, -296, 381, -672]]

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[User]
Determine the rank of the following matrix:
[[29, 666, -696, 441, -561, -652, 592, 338, 951, -674, 497, 480],
 [-213, 1390, 514, 784, -883, -365, -169, 695, 1138, -35, 1117, -713],
 [-235, -1, 478, 844, 604, -1457, 942, 39, 1197, -263, -321, 618],
 [-213, -357, 899, -667, -79, 197, -1888, 658, -700, 1348, -181, 156],
 [1154, 1128, 57, -20, 872, 167, 114, 1366, 622, -831, 327, 1070],
 [-473, -312, 620, -25, 424, -513, 826, 32, 762, -333, -211, 751],
 [-986, -359, 483, -1093, -984, -133, 362, 971, 625, 53, -327, -131],
 [580, -606, -42, 275, 696, 565, 309, -649, -661, -267, 174, 13],
 [194, 207, -699, 905, -542, -1048, 194, 174, 689, -265, 580, 478],
 [313, -1138, 75, 653, 9, 368, -1100, -1103, -1522, 1066, 266, -997],
 [895, 205, -748, -423, 794, 267, -404, 340, -479, -272, -384, 1159],
 [-205, 687, 288, -405, -253, -483, 344, 1187, 884, -131, -505, -295]]

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[User]
Determine the rank of the following matrix:
[[878, -357, 263, -1085, 601, 8, 165, 130, -222, 148, -125, 167],
 [466, -134, 556, -879, 510, -57, 264, 183, 165, -2, -147, -239],
 [-216, -763, 1056, 311, 221, -5, -21, 899, -141, 1, 164, -501],
 [556, -89, -140, -219, 89, 193, 295, -200, -390, 563, -622, -89],
 [176, 653, -522, -357, -85, 13, 233, -660, 262, 87, -372, 29],
 [602, 314, -350, -525, 94, 143, 400, -531, -109, 472, -711, -73],
 [-394, 1291, -1147, 149, -559, -56, 69, -1132, 612, -186, -193, 197],
 [476, -453, 356, -539, 401, 1, 23, 318, -228, 63, 50, 83],
 [554, 70, 469, -856, 436, 35, 510, -53, 167, 277, -591, -484],
 [18, 520, -477, 232, -306, 153, 316, -589, 15, 417, -675, -240],
 [-1376, 379, 90, 1407, -685, -107, -243, 119, 527, -427, 376, -425],
 [1060, -667, 410, -689, 521, 241, 411, 233, -695, 767, -726, -197]]

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[User]
Find the rank of the matrix:
[[103, -74, -1, -70, -236, 137, -68, 35, 287, -196, 142, -84],
 [29, 273, 338, -88, -605, -25, -166, -358, 799, -443, -198, -523],
 [359, 384, 437, 326, -686, 425, 128, -475, 811, -278, -330, -394],
 [257, 505, 410, 584, -175, 303, 362, -512, 155, 201, -594, -117],
 [155, 528, 537, 222, -658, 125, 32, -611, 831, -310, -506, -558],
 [-50, 488, 430, 148, -314, -138, 16, -520, 430, -120, -528, -426],
 [393, -213, -274, 560, 512, 609, 510, 289, -797, 629, 128, 722],
 [-163, 200, 91, 106, 248, -233, 80, -155, -287, 226, -298, 12],
 [546, 538, 440, 920, -204, 706, 612, -546, 110, 358, -640, 48],
 [-339, -568, -469, -694, 232, -409, -432, 581, -207, -222, 662, 124],
 [-211, 427, 460, -260, -641, -381, -322, -514, 915, -553, -370, -763],
 [435, 71, 80, 476, -128, 599, 342, -85, 45, 165, -76, 178]]

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