[User]
Determine the rank of the following matrix:
[[-5, -70, -32, -743, -494, -266, 697, 768, 9, -258, 247, -882],
 [-316, -422, 177, 856, 718, -161, -53, -377, 259, -299, 551, 275],
 [144, -754, 697, 540, 154, -553, -249, -93, -313, -547, -345, -429],
 [791, 438, 575, -201, -440, -361, -954, -469, 280, 463, -520, 619],
 [-84, 665, -799, -682, -387, 805, 203, 232, -333, 537, -420, 119],
 [-385, -164, -335, 75, 198, 249, 444, 215, -178, -175, 188, -263],
 [78, 210, -18, -460, -268, -178, 260, 280, 338, 52, 376, -154],
 [804, 195, 650, -163, -508, -358, -946, -365, -111, 295, -916, 302],
 [274, 713, -257, -461, -338, 313, -317, -162, 174, 612, -215, 561],
 [353, 205, 26, -955, -823, -130, 233, 603, -243, 60, -448, -660],
 [610, 422, 428, 222, -78, -108, -1110, -782, 238, 532, -512, 992],
 [34, -334, 517, 1314, 846, -177, -927, -1049, 209, -35, 5, 971]]

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[User]
Calculate the rank of matrix A where A =
[[-732, -502, 424, 98, 1017, -486, 298, -577, 843, 229, 252, 822],
 [-642, -982, 521, 26, 1037, -560, 2219, -758, 2140, 160, 572, 107],
 [-39, -361, 662, -193, 226, -1083, 795, 4, 861, 490, -294, 394],
 [-562, 257, -759, 258, -378, 574, -633, -519, -564, -497, -92, -556],
 [536, -815, 156, 405, -277, -230, 563, -597, 578, 55, 65, -233],
 [-520, -658, -40, 569, 758, 467, 1317, -954, 542, 54, 654, 21],
 [-57, -860, 319, 74, 309, -623, 638, -694, 1122, 48, 42, 134],
 [-535, 32, 884, 964, 1043, -108, 1476, 191, -648, 995, 502, 1310],
 [563, 30, -298, 178, -1027, 113, -134, 335, -149, -703, -79, -823],
 [-424, -649, 493, 815, 414, -368, 2256, -749, 600, 729, 237, 148],
 [129, 16, 353, -15, 302, 16, 974, 581, 322, -37, 407, 111],
 [-610, -235, 468, 350, 494, -508, 1506, -428, 646, 776, 54, 321]]

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[User]
Determine the rank of the following matrix:
[[326, -458, -119, -100, -20, -293, 278, 418, -536, 817, 35, 245],
 [-2, 366, 568, 267, 372, -407, -52, -393, -28, -1051, 761, -467],
 [-373, 358, 257, 326, 72, -189, -322, -297, 140, -701, 200, -328],
 [-637, -123, -304, 899, -429, -735, -39, 701, -607, 1020, -163, 50],
 [157, -663, -651, -807, -527, 614, 11, 265, 391, 875, -1198, 457],
 [838, -503, -301, -413, 213, 250, 594, 557, -737, 1492, 134, 730],
 [-394, -502, -929, 287, -1062, -10, 648, 973, 386, 1226, -1094, 182],
 [700, -750, -295, -215, -254, -354, 1088, 785, -318, 966, 36, 196],
 [-209, 75, 437, -250, 409, -133, -1116, -633, -349, -467, 44, -44],
 [610, -546, -7, -265, -158, -400, 918, 387, 26, 58, 182, -152],
 [495, -229, -329, -852, -311, 855, 642, -93, 1091, -385, -598, 24],
 [383, 616, 680, 446, 808, -274, 297, -296, -476, -719, 1446, -223]]

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[User]
Find the rank of the matrix:
[[-202, -82, -618, -53, -178, -76, -375, 264, 312, -278, 322, 15],
 [760, 193, -672, 902, 197, -597, -281, -1130, 96, -367, -402, -19],
 [-263, -621, 774, -263, 537, 206, 522, 172, -270, 636, -595, 303],
 [56, -586, 492, 128, 662, -58, 414, -320, -228, 502, -812, 318],
 [6, 5, 1071, -677, 395, 136, 714, 501, 159, 445, -654, -333],
 [-403, -493, -558, 331, -135, 130, -404, -116, -342, 4, 449, 581],
 [-606, -150, 255, -889, -116, 311, 115, 1143, 363, 114, 244, -166],
 [-343, -122, -276, -204, -196, 119, -212, 410, 114, -91, 371, 71],
 [698, 474, 594, 168, 274, -234, 442, -554, -6, 72, -658, -394],
 [-364, -1427, 366, 518, 885, 133, 311, -616, -846, 881, -786, 1135],
 [-189, -231, 510, 363, -77, 422, 166, -440, -1014, 444, 247, 569],
 [173, -15, -537, 513, -63, -185, -318, -513, -99, -210, 115, 180]]

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[User]
Determine the rank of the following matrix:
[[-10, 787, 770, 570, 586, -1152, 264, 769, -1113, -761, -358, 418],
 [-236, 1625, -678, 329, 556, 113, -1323, -1465, 475, 1058, 351, 217],
 [786, 395, 1048, 690, -1132, -484, 577, 800, 406, -25, 241, -251],
 [753, 1069, 893, 493, -1006, -1384, 453, -541, -580, 817, 505, 1911],
 [-35, -1301, 902, 1293, 815, -2343, -40, 1025, 1284, -730, 124, -642],
 [64, -300, 1038, 99, -140, -1117, 584, 1438, 242, -924, -297, 673],
 [-648, -128, -1369, -655, 463, 835, -178, -1050, 807, 626, -683, -170],
 [-967, 92, -933, -658, -774, 1906, -63, -915, -201, 19, -90, 34],
 [-37, 353, 675, -1191, 1380, -1995, -415, -287, 666, 1134, 953, 303],
 [-348, 287, -1216, 753, 623, -32, -543, -534, -341, -1023, -517, 590],
 [162, -663, 199, -1227, 323, -227, -105, 833, 289, -205, 414, -90],
 [-777, -56, -1016, -682, 817, 194, -99, -141, -1275, -630, -443, -295]]

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[User]
Calculate the rank of matrix A where A =
[[37, -1024, -34, 436, 250, -181, -652, -412, -290, 659, -208, 749],
 [430, -149, -128, -760, -520, 372, 397, -289, -206, -603, -55, 59],
 [273, 185, -77, -777, -891, 172, -189, -326, 338, -233, -1016, 16],
 [-756, 106, -336, -431, 194, 1360, 85, -1384, -747, -921, 412, -404],
 [-399, -387, -1607, 159, -624, 1158, -579, -150, 18, -351, -193, 329],
 [796, -714, -265, -153, -173, 285, 62, -481, -160, -483, -489, 128],
 [756, -573, 134, 784, 140, -1148, -49, 677, -8, 411, 165, 683],
 [257, -116, 691, 526, 711, -739, -21, 590, 402, 818, -173, -217],
 [-1118, 916, 201, 834, 746, -505, 231, 913, -151, 408, 1600, -163],
 [-78, 787, 497, -1013, -805, 156, -172, -1386, -85, -801, -1034, -265],
 [-30, 717, 7, 369, 335, 311, -54, -475, 336, -662, -660, -1017],
 [589, 29, 272, -44, -32, -391, 230, 390, 334, 34, -343, -180]]

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[User]
Find the rank of the matrix:
[[-115, -319, 443, -258, 343, -959, -47, -385, -507, -963, 415, 119],
 [-420, -173, -206, 20, -701, -1199, -6, -454, -657, -830, -434, -308],
 [-166, -29, -191, 235, -235, 257, 138, 280, 112, 540, -98, -134],
 [-134, 860, -487, 398, -153, 505, -474, -7, 461, -112, -387, 313],
 [264, -1138, -375, -733, -1374, -849, 793, 101, -212, -646, -224, 240],
 [496, -400, 371, -667, 160, -495, 101, -411, -312, -658, 104, 0],
 [922, -1493, -38, -1296, -985, -436, 1019, 211, 30, -546, 152, 508],
 [322, 135, -67, -36, 106, 776, 42, 245, 408, 602, -41, 49],
 [-363, 230, -469, 562, -456, 551, 78, 436, 261, 945, -347, -255],
 [478, -675, -174, -530, -627, 147, 568, 288, 187, 180, -64, 162],
 [-525, 335, -634, 547, -669, 124, -70, 302, 271, 113, -317, 199],
 [-829, 546, -488, 780, -469, -308, -312, -35, -150, -11, -454, -238]]

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[User]
Calculate the rank of matrix A where A =
[[-411, 592, 936, 738, 874, 366, -86, -36, -127, -498, 1135, -104],
 [-352, 647, 146, 178, 632, 197, 216, 546, 963, -713, 446, -45],
 [-29, 334, 196, 325, 438, -11, 485, 227, 169, -217, -39, -8],
 [-206, -464, 379, 155, -583, 416, 121, -330, 349, 23, 182, 820],
 [-136, -409, -95, -211, -329, 59, -648, -586, -345, 328, 82, 10],
 [317, -603, -102, -194, -862, -1, 206, -112, -152, 373, -415, 491],
 [361, 705, 542, 383, 580, -60, 266, 803, -475, -424, 757, -472],
 [322, -242, -609, -148, -77, -489, 547, -167, -270, 524, -1310, -107],
 [351, 398, -495, -164, 505, -533, 154, 379, -386, 90, -539, -772],
 [-66, 208, 44, 281, 366, -55, 592, 87, 279, -105, -366, 93],
 [24, 15, -564, -510, 8, -235, -655, -18, -124, 117, -94, -544],
 [-420, -61, -500, -576, -220, 175, -683, 8, 958, -261, 182, 22]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-758, -805, 1240, 796, -449, 182, 676, -18, 1071, 478, 870, 160],
 [1220, 1076, -654, 552, -897, 804, 77, 7, 209, -1281, -405, -34],
 [739, 432, -2044, -1627, -518, 173, -1511, -827, 505, 378, -885, 579],
 [-734, -124, 582, 373, 68, 120, 400, 253, -114, -1132, 1557, 298],
 [-630, -402, 915, 1009, -1074, 153, 766, -58, 80, -490, 920, 242],
 [-673, -936, -100, -802, -840, -887, -493, -1223, 584, -737, -852, 739],
 [-707, -357, -213, 275, 759, -530, 931, 337, -696, -653, 1079, -399],
 [528, 91, 1092, 470, 1251, 486, 1064, 733, 872, 237, -23, -1621],
 [836, 629, -1432, -783, -88, 603, -1718, 361, -987, 871, -331, 309],
 [-1135, -250, 1230, 1171, -682, -251, 805, -74, 451, -475, 1505, 39],
 [-702, -229, 153, -210, 843, -975, 192, 199, 534, -78, -393, -850],
 [-179, 514, -301, 401, -644, 453, -156, 167, 1518, 502, 660, 372]]

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[User]
Compute the rank of the given 12x12 matrix:
[[369, 321, 399, -662, -421, 40, -680, 568, -934, -590, -1457, -231],
 [-157, -734, 508, -985, -586, 845, -1051, 1786, -166, -180, -123, -81],
 [44, 466, -537, 601, 211, -192, -493, -662, 240, -188, 689, 864],
 [-79, -84, -90, -220, 299, 376, -399, -74, -1160, -54, -762, 518],
 [-990, -881, 262, -358, 212, 465, 18, 1202, 682, 548, 1269, -292],
 [472, 562, 190, 601, 177, 483, -372, -672, 328, -446, 549, 737],
 [1792, 210, 953, 483, -342, 2185, -451, -737, 275, -915, 180, 1280],
 [-181, -421, 782, 264, 23, 719, -267, 592, 903, 234, 1176, -255],
 [416, -162, -446, -873, -783, 11, -236, 676, -191, -454, -682, 222],
 [-21, 659, 177, 442, 23, -532, -1126, -92, -310, -246, -253, -33],
 [656, 0, -116, -410, -201, 768, 571, -226, 62, -486, -173, 628],
 [-1443, -930, -476, -236, 612, -791, 671, 435, -533, 1235, 25, -804]]

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[User]
Find the rank of the matrix:
[[502, 556, 219, 185, -152, 480, -500, -729, -1011, -24, 563, 678],
 [-816, -1051, -45, 144, 307, -450, 136, 757, 215, 36, -484, -700],
 [-642, -1024, -787, 723, -261, 295, 27, -385, -730, -516, -189, 36],
 [627, 1097, -63, -1290, -607, -885, -937, -449, -383, -943, 1111, 1282],
 [552, 297, -786, 243, -711, 597, -414, -1141, -883, -701, 527, 927],
 [448, -127, 664, -263, 464, -422, -682, 917, 83, 386, 62, -512],
 [730, 551, -792, -471, -620, -467, -227, -348, 315, -1074, 423, 658],
 [-291, -1064, 650, 496, 808, 302, -20, 1171, 310, 1189, -756, -1404],
 [-78, 250, -1593, 191, -1098, 752, 732, -1505, 117, -908, 17, 902],
 [-10, -29, -792, -787, -559, 34, 200, -14, 1034, -72, -185, -26],
 [-414, -803, 37, 680, 308, 730, 350, 242, 70, 766, -637, -786],
 [434, -1, -195, 496, -64, 609, -13, -285, -180, 102, -62, -42]]

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[User]
Calculate the rank of matrix A where A =
[[68, -208, 413, 130, 143, 114, 351, -101, -73, 389, -400, 285],
 [137, 96, 238, -60, 332, -22, 236, 215, 248, 295, -244, -55],
 [136, -64, 420, 40, 316, 56, 380, 84, 124, 444, -416, 140],
 [-103, -112, -133, 70, -253, 36, -141, -194, -217, -184, 140, 90],
 [39, -272, 413, 170, 69, 140, 341, -182, -159, 368, -396, 350],
 [28, -272, 385, 170, 43, 138, 315, -193, -173, 337, -368, 345],
 [195, 400, 35, -250, 495, -160, 95, 520, 555, 170, -60, -400],
 [36, -400, 553, 250, 51, 202, 451, -289, -261, 481, -528, 505],
 [-6, -256, 280, 160, -36, 124, 220, -214, -204, 226, -264, 310],
 [-254, -160, -462, 100, -614, 32, -454, -384, -446, -564, 472, 80],
 [26, 288, -266, -180, 86, -136, -202, 260, 254, -200, 248, -340],
 [131, 368, -91, -230, 341, -156, -27, 430, 449, 20, 68, -390]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-645, -541, 71, -700, -226, 779, -76, -339, -537, 55, 464, 507],
 [-300, 172, -45, 113, 439, 262, -810, -24, -392, -244, 426, 88],
 [246, -158, 127, 25, -537, -412, 908, 96, 402, 128, -432, -246],
 [-177, -519, 11, -695, -401, 479, 469, -282, -89, 324, 9, 427],
 [-798, -744, 289, -652, -710, 548, 501, -267, -478, -63, 377, 266],
 [-627, 109, 259, 454, 48, -103, -484, 159, -471, -643, 504, -363],
 [-324, 250, -64, 183, 563, 276, -1001, -9, -448, -301, 495, 80],
 [-264, 240, -76, 160, 536, 256, -924, -12, -392, -252, 436, 88],
 [102, -244, -194, -609, 47, 518, 19, -279, -14, 433, -29, 538],
 [909, 509, -231, 448, 310, -627, 136, 231, 689, 253, -628, -259],
 [249, 517, 117, 902, 124, -839, -42, 417, 277, -409, -198, -719],
 [-504, 252, 338, 784, -36, -492, -298, 330, -296, -774, 350, -680]]

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[User]
Find the rank of the matrix:
[[101, -804, -874, -1352, -636, -1188, -69, 120, 34, -293, 586, 150],
 [-348, 420, -140, -153, -311, -550, 412, 75, 342, 93, -518, 24],
 [-216, 912, 918, 1362, 612, 1300, 251, -292, 13, 366, -814, -227],
 [366, -1200, 376, -634, -466, -192, 514, -926, 512, -68, -284, -384],
 [306, -736, -300, -342, -110, -372, -690, 218, 28, -352, 528, 84],
 [-215, 292, -356, 16, 282, 612, -278, -30, -517, 31, 216, 11],
 [831, -372, -44, -561, 328, -10, 415, 399, -1233, 177, 1942, 432],
 [5, -444, -126, 354, 32, 14, -1222, 194, 449, -457, -234, -79],
 [-994, 808, -826, 68, -158, -38, -632, 130, 342, -158, -1006, -76],
 [-871, 848, -72, 428, -305, -236, 43, -92, 903, 26, -1612, -210],
 [-87, 380, -132, -662, -318, -634, 1203, -8, -208, 355, 168, 156],
 [35, -472, 42, -396, -495, -738, 229, -186, 631, -116, -406, -108]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-88, -264, 52, -2, 36, 40, 112, -16, -250, -202, -44, 6],
 [-308, 452, 10, 208, 126, -32, 306, -142, 630, 540, 190, -194],
 [-88, 248, -12, 78, 36, -24, 80, -48, 310, 262, 84, -74],
 [660, 124, -158, -275, -270, -68, -724, 236, -155, -167, -134, 245],
 [-132, 724, -62, 172, 54, -80, 98, -94, 850, 712, 214, -166],
 [-330, -206, 97, 115, 135, 52, 371, -109, -80, -47, 31, -100],
 [154, -482, 27, -144, -63, 48, -137, 87, -595, -502, -159, 137],
 [-110, -538, 91, -35, 45, 76, 153, -7, -540, -441, -107, 40],
 [528, 176, -136, -208, -216, -64, -584, 184, -40, -64, -88, 184],
 [66, -746, 79, -146, -27, 88, -25, 71, -845, -704, -203, 143],
 [418, -330, -49, -238, -171, 8, -433, 175, -545, -476, -187, 219],
 [-836, -236, 210, 336, 342, 96, 922, -294, 110, 140, 150, -298]]

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[User]
Calculate the rank of matrix A where A =
[[915, -691, 994, 317, 567, -219, -1020, 1478, 1380, 318, -1715, -213],
 [-666, 723, -711, -34, -517, 363, 590, -1795, -2042, -480, 1700, 335],
 [-623, 614, 260, -917, -394, -735, -107, -462, -612, 249, 478, 1000],
 [-293, 112, -216, -935, -452, -653, 935, -122, 356, -182, 575, 345],
 [-985, 68, 331, -915, -803, -295, 664, 657, 509, -140, 55, 19],
 [288, 907, -87, 161, 1293, 487, -469, -487, -303, 912, 52, -74],
 [-877, -758, -340, -4, -842, -335, 187, -392, -732, 599, 570, 886],
 [-184, 393, -261, 21, 574, 614, 356, 983, 1419, 138, -538, -1182],
 [-960, 373, -1457, -746, -964, -1130, 650, -603, 217, -207, 1031, 763],
 [-1051, 430, -74, -347, -576, 221, 361, -392, -802, -20, 683, 133],
 [6, 356, 477, -143, 212, 361, 72, -493, -865, 77, 351, 81],
 [205, 312, 576, -158, 864, 617, 138, 1354, 1553, 263, -1010, -1159]]

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[User]
What is the rank of the matrix:
[[843, 300, -226, -23, -309, -214, 1250, 393, -212, -544, 113, -130],
 [33, -182, -529, -571, -503, 972, 58, 487, -137, -191, -476, -967],
 [353, 261, -317, -324, -219, 591, 35, -10, -407, -238, -553, -1694],
 [-225, -576, 362, 115, 1264, -382, -809, -831, -454, 113, 227, 335],
 [83, -531, 430, 905, 1081, -748, 11, -849, -286, 118, 786, 1347],
 [-24, -717, 39, 450, -170, 135, 281, 225, -11, 105, 543, 1416],
 [45, 126, 294, -58, 618, -148, -775, -691, -516, 60, -286, -1085],
 [161, 309, 144, -737, 375, -571, -57, 118, -130, -312, -213, -329],
 [529, 584, 321, -314, -965, -522, 538, 801, 3, -204, -45, 129],
 [-21, 242, -85, 691, -944, 77, 695, 402, 615, 228, 331, 880],
 [-570, 605, 427, 76, -16, -789, -449, -77, 761, 397, 79, 686],
 [-547, 37, -239, 452, -312, 497, -178, -108, 585, 405, -5, 127]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[766, -789, -862, -643, -117, -1358, -1012, 766, -459, -45, -643, 23],
 [-670, -100, 1598, 430, 407, 1263, -1004, -825, 302, 174, 1897, 432],
 [1063, -241, -1004, -445, 48, -1133, -440, 519, 163, 360, -1364, 297],
 [-2108, 784, -859, 239, -50, -680, 1584, -479, -330, -305, 378, -442],
 [-236, -500, -385, 1131, -176, 309, -366, 493, 507, -735, 716, -278],
 [573, -1250, 111, 22, -1473, 454, 327, 445, -280, -91, 91, -1036],
 [522, -842, 246, -152, -1527, 1238, -582, 241, 282, 244, 1157, -462],
 [-598, -551, 1044, -1480, -509, 460, 18, -797, -254, 114, -58, 500],
 [523, -313, 768, 587, -437, 1030, -129, -142, 1073, 272, 652, 766],
 [866, -313, 986, -2029, 256, 200, -1095, -189, -939, 145, -989, 162],
 [1606, -13, 623, -1299, -608, 1072, -385, -243, -115, 967, -1128, -537],
 [-275, 830, -484, -122, -350, -457, 362, -224, 589, 731, 652, 916]]

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[User]
What is the rank of the matrix:
[[-176, 88, -104, 256, 100, 176, 268, 52, 80, -352, 308, -4],
 [142, -332, 540, -254, -517, 322, -33, 397, 294, -122, -263, -499],
 [291, 21, -119, -393, 113, -587, -560, -366, -361, 841, -500, 327],
 [12, 156, -276, 12, 264, -300, -132, -276, -228, 276, -12, 312],
 [375, -273, 371, -561, -356, -223, -511, 33, -53, 617, -661, -156],
 [297, -99, 89, -423, -86, -385, -487, -171, -203, 671, -517, 102],
 [217, -545, 891, -395, -853, 559, -24, 670, 501, -245, -404, -835],
 [155, 35, -105, -205, 100, -355, -315, -235, -225, 485, -265, 220],
 [192, -474, 774, -348, -741, 480, -27, 579, 432, -204, -357, -723],
 [-254, 460, -732, 430, 701, -338, 153, -485, -342, 10, 463, 635],
 [-94, -232, 432, 86, -413, 590, 339, 497, 426, -622, 149, -539],
 [-341, 319, -461, 523, 442, 77, 415, -149, -49, -451, 605, 278]]?

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[User]
Determine the rank of the following matrix:
[[87, -256, -130, 940, 89, 1043, 429, -644, 525, 770, -35, -468],
 [422, -410, 2178, 58, 452, 528, -580, 1260, -557, -358, -860, -356],
 [-811, 301, -2, -379, -427, -372, 396, -340, 101, 544, -1364, -607],
 [-275, 466, 690, -427, -65, 1944, -255, 11, -250, 128, 574, 809],
 [-347, 666, 530, 472, -284, 374, -491, 1115, -421, 506, -1578, -680],
 [34, -437, -942, 2108, -776, 121, 961, 34, -53, 279, -667, 135],
 [937, 334, 524, -900, 866, 17, 1123, 371, 479, -287, -102, -208],
 [-145, -32, -39, -1966, 162, -164, -26, -671, 410, -703, 743, 136],
 [-116, 61, 288, 198, -316, 1604, 408, -43, 72, -172, -106, -139],
 [-810, 831, -195, -1762, 532, -368, -977, 160, -968, -633, 1180, 248],
 [501, -863, 457, 460, -41, -227, 529, 283, -608, -1679, 861, 274],
 [440, -234, -381, -410, 1276, -680, -910, 1105, -655, -617, 766, -332]]

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[User]
Find the rank of the matrix:
[[377, 601, 895, -656, -48, -47, -559, -590, 580, 316, -32, 491],
 [-213, -56, 1100, -216, 215, 584, -231, 63, -302, -99, 910, 558],
 [420, 139, -29, -110, 885, 502, -182, -182, 396, 420, 909, 325],
 [-28, 140, 1221, -276, 147, 530, -141, 468, -434, -39, 1087, 491],
 [1053, 843, 362, -632, -116, -781, 103, 367, 398, 366, -292, -56],
 [-791, -245, -220, 454, -826, 124, 37, 366, -620, -353, -349, -374],
 [-507, -74, 227, 276, -989, -188, 351, 1066, -980, -463, -222, -437],
 [-308, -360, -22, 308, -354, -186, 542, 854, -808, -456, -28, -330],
 [-920, -629, -236, 348, -1057, -587, 244, -226, -488, -751, -1444, -400],
 [440, 334, -98, -118, 713, 521, -305, -160, 470, 536, 842, 254],
 [-561, -407, -39, 242, -275, 72, 38, -124, -298, -336, -262, -55],
 [1014, 1083, -547, -252, 42, -187, -193, 404, 646, 840, 131, -309]]

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[User]
Find the rank of the matrix:
[[556, 395, -675, 293, 813, 549, 534, 12, -752, 675, -974, 1268],
 [1308, 127, 49, -335, 641, 85, -16, 162, -156, 401, 634, 294],
 [1449, 238, -714, 110, 293, -489, -522, -640, -399, 457, 397, 310],
 [-926, -990, 14, 721, -414, -993, -1415, -478, 593, -206, -337, -1841],
 [-100, 114, 630, -431, -581, 1129, 745, 1498, -16, 342, -422, 428],
 [208, 469, 716, -1394, -98, -13, 346, 78, 373, 1204, 1533, 863],
 [1337, -559, -78, -801, 655, -1041, -963, -504, -323, 975, 1274, 375],
 [-1065, -60, 995, -330, -413, 942, 360, 1301, 694, 1241, -574, -210],
 [194, -566, -14, -192, 23, -646, -904, -174, 29, 960, 196, -216],
 [-552, 725, 489, -53, -41, 519, 575, 57, 780, 226, 265, -266],
 [-562, -1049, -456, 123, -1228, -594, -1146, 299, -558, 1037, -1158, 85],
 [535, -523, 56, -363, 255, -617, -496, -199, -189, -222, 722, -100]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-1375, -999, 516, -1447, -25, 248, -918, 63, -691, -240, -588, 160],
 [-29, -479, 560, 91, -15, -1012, 285, -134, -1275, 420, -396, -595],
 [-364, -28, 105, 1265, -54, -851, 1498, 758, 119, 352, 1670, -285],
 [175, 420, -694, -441, -494, -226, 210, -317, -622, 484, 174, 86],
 [645, -13, 44, 1053, -56, 506, 449, 426, 658, 85, -7, 301],
 [-794, -415, 119, -431, 182, -1642, -66, -141, -1820, 1193, -817, -675],
 [1236, 1065, -308, 286, -258, 351, -67, -503, 715, -211, 755, 57],
 [55, 169, -738, 492, 608, -260, -336, 643, 258, 504, -2015, -337],
 [-154, -281, -931, -211, -279, 1370, 292, 244, 31, 266, -909, 1571],
 [-328, -259, -343, -618, -790, 588, 430, 6, 206, -472, 1081, 108],
 [-650, 573, 535, -40, -315, 68, -22, 1687, 833, -1473, 1804, -488],
 [-329, 75, 368, -441, 207, -157, -1213, -138, -546, 1094, -600, 473]]

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[User]
Determine the rank of the following matrix:
[[1, 56, -578, 992, -392, 352, 1806, 429, -1728, 52, -203, -1173],
 [-923, -997, 753, 730, -954, -1142, -154, -728, -850, -13, 585, 1021],
 [910, -512, 321, 639, 2049, 173, 547, 224, 571, 74, 257, -1009],
 [790, 1547, -593, -105, -376, 548, -189, 851, -229, -1071, -614, -1136],
 [432, -800, -164, 130, -780, -211, -305, -149, 296, -788, 289, 524],
 [894, -1024, 62, -54, 381, -359, 116, 195, 610, -913, 328, 225],
 [824, 246, -537, 131, 1143, 576, -1235, -230, 1750, 244, -19, -273],
 [-118, -9, -1394, -336, 225, 1021, 462, 617, -165, 111, -1538, -261],
 [-2003, 1103, -618, -148, -1461, -195, -224, -85, -716, 1254, -656, 659],
 [1064, -1797, 939, -242, 760, -5, 1468, -16, -7, -1626, 1047, -83],
 [203, -1135, 557, -1271, -785, -100, 72, -507, -42, -441, 439, 1252],
 [431, 684, 24, 326, 143, -710, 1073, 117, -1959, -615, 137, -802]]

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[User]
What is the rank of the matrix:
[[-203, 76, -71, -256, 543, 409, 46, -32, -24, 1, -71, 56],
 [79, 279, 505, 118, 654, 124, -253, -679, 846, -158, -155, -25],
 [-538, 216, 488, -76, -233, -1266, 120, 361, -538, -860, -103, 298],
 [-933, 907, 197, -152, 370, -550, -1077, 437, 480, -686, 619, 679],
 [571, -697, 141, -137, -3, -102, 1168, -347, -581, 491, -411, -405],
 [-86, 222, 253, 88, -514, -1221, -329, 283, 230, 328, 936, 340],
 [-123, 85, -48, -199, 146, -213, -77, 139, 129, 673, 728, 217],
 [1187, -26, -191, -311, 257, -123, -281, -277, 919, -262, 200, -108],
 [-135, -230, 419, 515, -866, -744, 398, -3, -543, -111, -331, -146],
 [-498, -86, 160, 291, -489, -335, 196, 163, -403, 806, 424, 86],
 [1044, -564, -251, -32, 179, 752, 502, -593, 366, 937, -51, -484],
 [-545, -296, -235, 1101, -1229, 986, -36, 44, -539, 813, -356, -362]]?

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[User]
Calculate the rank of matrix A where A =
[[272, 159, -440, -251, -108, -104, 289, 703, 375, 448, -244, -78],
 [158, -6, -74, -340, -93, -242, -218, 653, 523, 462, -172, -10],
 [-158, -111, 290, 109, 57, 26, -241, -362, -160, -222, 136, 52],
 [-162, -99, 270, 141, 63, 54, -189, -408, -210, -258, 144, 48],
 [114, 87, -222, -65, -39, -6, 201, 244, 94, 146, -96, -40],
 [-132, 45, -12, 363, 90, 276, 339, -645, -561, -468, 156, -6],
 [-224, -264, 608, -56, 48, -160, -760, -248, 104, -96, 160, 112],
 [-236, -150, 404, 194, 90, 68, -298, -580, -288, -364, 208, 72],
 [224, 264, -608, 56, -48, 160, 760, 248, -104, 96, -160, -112],
 [100, 90, -220, -30, -30, 20, 230, 180, 40, 100, -80, -40],
 [-98, 60, -58, 322, 75, 254, 356, -545, -499, -402, 124, -14],
 [32, -57, 88, -179, -36, -152, -263, 271, 279, 208, -52, 18]]

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[User]
Calculate the rank of matrix A where A =
[[-839, -436, 1477, 869, -1244, -683, -952, -56, -1279, -460, 514, 743],
 [-881, 1556, 1192, -962, 1484, -151, -480, -2138, 1108, 227, -1086, -951],
 [-1018, 1840, -557, 18, 968, -1160, 1867, 53, 862, 151, -548, 99],
 [-638, 837, 539, -116, -995, -1696, 1057, 1657, -343, -1481, 1271, 479],
 [31, 654, 951, -960, 543, -1326, -4, -278, 333, 150, -126, -922],
 [278, -1335, -74, 419, -355, 484, -1033, -58, -850, -31, -325, 1045],
 [-100, 886, 903, 992, 248, -2118, -86, 192, 421, 916, -768, -937],
 [-979, 934, -93, -641, -163, -1676, 1775, 754, 636, -1159, 310, -717],
 [726, -1685, -366, 66, -1324, 15, 73, 964, -1882, 67, 1202, 1753],
 [588, 343, -922, 314, -399, 1355, 268, -871, 314, -653, 507, 626],
 [1212, -409, -892, -541, -351, 1606, -192, 385, 93, -828, 893, 563],
 [785, 105, -30, -815, 1594, 477, -1048, -247, 10, -92, -535, -346]]

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[User]
Find the rank of the matrix:
[[149, 1160, 869, 269, -40, 668, -711, -638, 134, 560, -306, -455],
 [831, 575, -339, -186, 97, 915, -526, -48, -35, -1908, -618, -11],
 [1419, 873, -351, -1226, -980, 773, -563, -1672, -56, -149, -566, -562],
 [1409, -199, -320, 187, 749, -5, 78, 278, -464, -510, -396, 151],
 [-819, 346, -340, -565, -113, 298, 44, -240, 405, -593, 1230, -155],
 [1101, 1238, -129, 687, 826, 736, -473, -331, 504, -142, 131, 57],
 [-333, -531, 203, 288, -86, -1372, -934, -354, 553, 644, -266, 684],
 [1151, 417, -506, -1260, -805, 1424, -713, -1469, 671, -698, 717, -458],
 [-673, -955, 735, 274, -713, -846, 1137, -231, 59, -7, 1658, 834],
 [165, 407, -141, 165, 636, 508, -773, 89, 236, 605, -151, -498],
 [-778, -406, 188, -604, -432, -13, 906, 371, -806, 45, 397, -485],
 [-358, 591, 1030, 235, -564, 689, -46, -245, -279, 933, -353, -639]]

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[User]
Compute the rank of the given 12x12 matrix:
[[81, 287, 30, -823, -232, -437, -392, -273, 745, 251, -763, -1196],
 [-512, -59, 117, -344, 185, 871, 13, 439, 109, -253, 446, 503],
 [-804, 38, -106, -716, 586, 694, -38, 206, 290, 186, 372, 50],
 [345, 36, -118, 585, -377, -683, 89, -25, -549, -858, -82, 114],
 [-139, 142, -274, -21, -76, -498, 90, 145, -371, -980, 76, -9],
 [-81, 294, -224, -883, -339, -479, 167, 583, 67, -1286, -42, -224],
 [1020, 74, -48, -39, -1007, -904, 699, 888, -462, -1523, 54, 570],
 [-375, -177, -324, 912, 794, -98, 44, -617, -629, 662, 359, 245],
 [-754, -187, 165, -584, 620, 1480, 132, 515, 333, 551, 750, 758],
 [-326, -8, -250, 510, 461, -273, -175, -574, -326, 274, -2, -227],
 [187, -96, 284, 702, -241, 138, -377, -411, -37, 181, -288, -81],
 [661, -320, 518, 425, -272, 670, 142, 97, 229, 1020, 46, 579]]

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[User]
What is the rank of the matrix:
[[-383, -207, 971, 959, 200, -352, 207, -69, -361, -493, -73, 1021],
 [-323, -112, 75, 580, 419, 887, 135, 95, 585, 1100, 293, -221],
 [197, -22, -892, -820, -163, 287, -452, 140, 300, 405, 135, -757],
 [422, 1124, -314, -781, -603, -1149, 226, -62, -692, -1034, -785, 47],
 [-536, 28, 408, 438, 62, -518, -472, 96, -252, -248, -218, 790],
 [129, -325, -1128, -728, -96, 709, -469, 316, 419, 632, 395, -816],
 [-424, -825, 122, -194, 72, -402, -1350, -14, 66, -123, 189, 329],
 [-422, -218, 368, 150, 189, -262, -757, -100, 175, 230, -31, 250],
 [-736, -848, -7, 268, 164, -56, -1221, 309, 33, 83, 290, 650],
 [-671, -164, -1467, 9, -71, 860, -656, 1041, 112, 722, 335, 118],
 [-125, 129, 869, 341, 27, -794, -26, -303, -338, -611, -332, 637],
 [-127, 358, -528, -29, -278, -180, 90, 436, -448, -413, -194, 392]]?

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[User]
What is the rank of the matrix:
[[122, 888, -437, 892, -611, 205, 10, -410, 913, 239, 1254, 1147],
 [278, -352, 354, -154, -212, -399, -461, -465, 737, 233, 943, -119],
 [473, -621, 90, -182, 11, -270, 36, -125, 407, 449, 31, -633],
 [960, -630, -392, -419, 190, -73, 616, 43, 380, 814, -404, -670],
 [-541, -407, 369, -88, 125, 242, -121, 530, -780, -176, -1254, -769],
 [-109, -57, 288, -307, 610, -968, -133, -499, -425, -895, 684, -10],
 [217, 314, -597, -5, -227, 733, 291, 514, 263, 412, -360, 608],
 [-188, -697, 560, 173, -465, 88, -643, 169, 479, 386, -139, -680],
 [919, 183, -407, -325, 291, -503, 609, -763, 386, 324, 880, 167],
 [-577, 448, 457, 664, -615, 242, -525, -343, 195, 36, 502, 204],
 [-757, 804, 303, 1654, -1476, 939, -692, -172, 919, 642, 611, 561],
 [71, 1541, -786, 995, -766, 831, 364, -308, 702, 452, 947, 1631]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[98, 163, -376, -251, -81, 1064, -375, -255, 442, 495, -397, -764],
 [33, 76, 24, 7, -331, 548, -684, -757, -212, -374, -231, 12],
 [-305, -490, 246, -64, -27, -84, -409, -302, 766, -591, -461, -174],
 [-109, 44, -203, -56, 162, 216, 76, 136, 419, 285, -89, -435],
 [704, 179, -222, -488, 242, 769, 354, 387, -590, 811, -54, 37],
 [-161, 162, 0, 241, 115, -394, 180, 35, -284, -148, 323, 218],
 [459, -65, 85, -225, -352, 197, 9, 168, -237, 343, -89, 156],
 [-291, -47, -6, 161, 102, -386, 148, 161, 360, -66, 96, -136],
 [21, -947, 400, -513, -36, 102, -312, 71, 1218, -324, -892, -282],
 [-87, -681, 429, -174, -283, -214, -396, -158, 741, -545, -538, 15],
 [-896, 278, -48, 780, -146, -784, -252, -464, 300, -676, 430, -136],
 [126, 204, 26, 89, -303, 271, -389, -510, -564, -228, 49, 251]]

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[User]
Determine the rank of the following matrix:
[[280, 207, -708, 209, 59, -88, 266, 577, 281, -857, 320, -437],
 [401, -263, 103, 40, 484, 629, -318, -60, 454, 33, -226, 84],
 [-908, 623, -55, -192, -1024, -1203, 461, 264, -760, -33, 198, -321],
 [-791, 654, 192, -342, -790, -686, -41, 574, -136, -74, -380, -611],
 [945, -661, -34, 251, 1029, 1140, -349, -337, 657, 11, -48, 398],
 [885, -766, 92, 250, 1002, 1078, -297, -610, 432, 266, 28, 629],
 [236, -368, 10, 158, 250, 130, 146, -546, -266, 288, 316, 516],
 [-781, 586, 157, -291, -797, -765, 76, 417, -305, -6, -222, -465],
 [-30, 247, -422, 83, -183, -310, 258, 379, -9, -497, 236, -311],
 [-1291, 733, 901, -674, -1082, -757, -384, 378, -284, 597, -910, -540],
 [-257, 47, -250, 127, -391, -712, 589, -309, -775, 63, 632, 276],
 [-497, 249, 540, -337, -343, -106, -349, 139, 41, 361, -580, -218]]

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[User]
What is the rank of the matrix:
[[532, 843, 356, 285, -227, -1379, 115, 351, 333, -652, -1834, 880],
 [33, -134, -452, -719, -22, 223, -1022, -473, 817, 724, 396, 1197],
 [-84, 311, 490, -114, 252, 367, 371, -841, -1142, -221, 1076, -1432],
 [-95, 469, 146, -271, -1007, -447, -289, 1071, 243, -589, -382, -180],
 [36, 633, 787, -492, 405, -1012, -740, -45, -77, -50, -1286, 1421],
 [463, 288, 120, -147, 860, 689, -288, -765, -261, 1150, 1190, -483],
 [216, 437, -126, 906, -489, -774, 839, 724, -76, -941, -1274, -135],
 [51, -266, 231, 5, 290, 415, 141, 127, -97, 375, 522, -687],
 [-195, -828, -206, -605, 437, 958, -544, -557, 362, 986, 1260, 76],
 [36, -245, -355, 282, -71, 1003, 430, 57, -264, 357, 1427, -1510],
 [-288, 360, -324, -179, -711, 261, -656, 1265, 121, 148, 289, 5],
 [375, -102, 262, 167, 476, -307, 436, -751, 59, -44, -362, 39]]?

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[User]
Determine the rank of the following matrix:
[[342, 2357, 1100, -573, 1014, 937, 515, 1799, -274, -1715, 140, 1233],
 [76, 935, -906, -542, -738, 543, 165, -879, 417, -1317, 1768, 174],
 [-486, 542, -892, -54, -807, 848, 113, -666, 368, -1179, 799, 1144],
 [537, 218, 138, -415, 529, -667, 1317, 398, -637, -167, 770, -1543],
 [-168, 857, 450, 126, 184, -114, -968, 1094, -941, -308, -219, 922],
 [-33, -515, -1146, -562, -114, -582, 758, -414, 442, -425, 1503, -1105],
 [205, 830, 494, -137, 826, 215, -46, 878, -426, 21, -225, -140],
 [5, -383, 306, -9, -548, -286, 658, -644, 303, -208, 1202, -139],
 [-221, -212, 508, -157, 100, 197, -115, 35, 1413, -719, -391, 805],
 [-323, 365, -414, 243, 501, 927, 150, 275, 511, -759, 384, 452],
 [558, 198, -174, -146, -127, -474, 863, 192, -1190, 130, 40, -791],
 [796, 2672, 944, -212, 20, 792, -453, 453, -1025, -1507, 624, 550]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-836, 471, -477, -487, -167, 959, -282, 103, -354, -957, -291, 1780],
 [1722, -806, -562, 305, 311, -250, -620, 1255, 773, 733, 1212, 621],
 [345, -653, -339, 30, 776, 219, -218, 515, 472, -219, 105, -582],
 [3163, -886, 833, 1277, 534, -724, -10, 500, -47, 634, -68, 79],
 [44, 125, 606, -138, -367, -568, 104, 211, -392, 163, -1360, -970],
 [-2349, 654, -952, -1427, -534, 533, -382, 262, -251, -540, 10, 1522],
 [-1603, 854, 23, 295, -343, 888, -451, -1684, 993, -1371, 894, 374],
 [-212, -647, -823, -559, -95, 141, -936, 89, 1461, -37, 1724, 597],
 [-1037, 825, -924, -249, -1106, 137, -869, 336, -319, 1216, 544, 620],
 [689, 910, -557, 196, -254, 1369, -225, 20, -327, -701, -184, 720],
 [91, 536, 373, 8, -116, -625, 308, -85, -1109, 465, -778, 28],
 [541, -770, -382, -210, 813, 528, 638, 899, 558, -466, 163, -670]]

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[User]
What is the rank of the matrix:
[[191, -573, -368, 481, 1174, 321, -291, -194, -31, -213, -354, -188],
 [369, -1061, -851, 871, 1686, 1125, -69, -1301, -353, 567, -438, -11],
 [110, -897, -163, 184, 1268, 672, 110, -435, -126, 438, -593, -134],
 [342, -321, -836, 537, 823, 837, -178, -778, 478, 300, -287, -462],
 [-155, 1323, 318, -660, -1889, -773, -37, 857, 798, -400, 541, -266],
 [487, -384, 35, -153, 38, -9, -199, -199, -859, 27, -67, 288],
 [21, 113, -330, 305, -250, 292, 147, -715, -192, 398, 305, 261],
 [-365, -100, 512, -201, 254, -373, 101, 680, 63, -293, -167, 5],
 [-1305, 889, 1068, -176, -985, -1194, 565, 1124, 165, -501, 680, 583],
 [108, 249, 592, -888, -684, -499, -68, 949, 217, -257, -192, -286],
 [203, -459, 229, -148, 665, -221, -315, 542, -246, -478, -399, -129],
 [-132, -495, -176, 608, 646, 300, 192, -790, -798, 324, 143, 611]]?

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[User]
Find the rank of the matrix:
[[-908, 291, 1165, -483, -1238, 249, 901, 1195, -1414, -1269, 1025, 1479],
 [-321, 829, 778, 607, -415, 584, 297, -1058, 37, -531, 444, 693],
 [-477, -1271, -616, -974, -170, 779, 1215, 282, 289, -12, 272, -362],
 [-839, 234, 159, 757, 1348, 495, 812, -588, 58, 579, -669, -383],
 [944, -383, -1327, -569, -321, -300, 41, 280, -228, -474, -207, 134],
 [1493, 1038, -811, 492, -541, -851, -1116, -146, -710, -426, 208, 378],
 [-336, -441, -821, -351, 7, -632, -577, -618, -57, 128, -313, -217],
 [-133, -298, -338, -174, 534, -756, -419, -579, 323, 415, -1245, 20],
 [-1343, -666, 341, 40, 809, 1281, 882, 317, 299, -534, 709, -482],
 [-1690, -881, 507, -93, 690, 290, -139, -1612, 1072, 749, -21, -458],
 [-819, -923, 155, -730, 1, -208, 328, -99, 57, 683, -35, 59],
 [-1109, 431, 1264, 719, 89, 898, -193, -961, 775, -309, 605, -228]]

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[User]
Calculate the rank of matrix A where A =
[[-395, 206, 1176, 894, 528, 359, 279, 238, 440, 862, -427, -732],
 [-824, -1173, 716, 13, 966, 68, 423, -200, -307, -471, -82, -103],
 [287, 578, -696, -707, -784, -387, -261, -514, -395, -31, -231, 240],
 [671, 426, -1170, 9, -311, -212, -306, 620, 346, -428, 786, 647],
 [702, 213, 313, 749, -271, 637, -180, 826, 959, 589, 367, -385],
 [280, 739, -7, 849, 167, -55, -18, 906, 1089, 507, 299, -209],
 [-524, 342, 514, -192, -41, -63, 135, -822, -777, 445, -841, -265],
 [476, -592, -525, -1095, -829, -205, -261, -390, 51, -517, 89, 82],
 [-1089, -476, 1006, 380, 1153, -264, 558, -96, 135, 87, -448, -459],
 [88, 92, -714, -269, 63, -823, -9, 422, 880, -436, 369, 173],
 [-700, -99, -213, -1119, -74, -878, 153, -1132, -800, -392, -726, 98],
 [-190, 239, -116, 826, 802, -114, 171, 792, 480, -82, 482, 217]]

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[User]
What is the rank of the matrix:
[[201, 482, 701, -906, -531, 535, 1059, 510, 445, 147, 393, -116],
 [554, -80, 484, -470, 196, -252, -90, -68, -124, 126, 736, 192],
 [-524, 554, -329, 19, -939, 1179, 604, 354, 93, 94, -885, -996],
 [537, -184, 512, -140, 249, 307, -1223, -371, -163, 510, 675, -648],
 [-127, 179, 628, -313, -55, 383, 231, 283, 827, 196, 239, -36],
 [400, -241, -450, 144, 157, -489, -388, -365, -961, -121, 85, 60],
 [232, -198, 257, 1, 327, -151, -584, -198, 23, 154, 393, 20],
 [-386, 328, 334, -11, -433, 1153, -196, 211, 691, 405, -289, -952],
 [-1178, 127, -953, 1021, -328, 508, 74, 121, 358, -237, -1498, -376],
 [-603, 299, -258, 141, -421, 397, 739, 355, 421, -160, -691, -76],
 [68, -523, 3, 512, 783, -595, -1162, -450, 29, 50, 273, 320],
 [-355, 137, -100, 19, -125, -67, 699, 277, 361, -222, -311, 356]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[-637, -354, 81, 117, -420, 1047, 659, -1043, 806, -912, -1023, 1257],
 [931, 1721, -372, -1353, 580, 598, -343, -257, 228, -880, -464, 721],
 [-96, 196, 169, -417, -1154, 117, 109, -586, 931, 201, -360, 1112],
 [-578, -1549, -1019, 937, 516, 517, -1270, 1051, 546, 141, 602, -1066],
 [-4, 255, -153, -613, 174, -1139, 77, -635, 253, -566, -1253, 5],
 [-639, -547, 240, 50, -176, 410, 564, -649, -847, 345, -1052, -924],
 [-324, -298, 709, 410, -180, 557, 565, -339, -473, -6, 87, -1],
 [351, -15, 614, 464, 520, 146, 806, 237, -1822, -338, -400, -595],
 [-567, -2060, -515, 1097, -7, 565, -1079, 818, 507, 757, 580, -1426],
 [154, 244, -1203, -593, -241, 484, -83, 525, 108, 514, -264, 277],
 [562, 218, 675, 26, 618, 142, 576, -374, -723, -961, -681, -7],
 [106, -466, -800, 94, 417, 262, 33, 467, 520, -180, 208, 281]]

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[User]
Calculate the rank of matrix A where A =
[[319, 251, 724, -126, -1413, -155, -376, 115, 951, -273, -149, -795],
 [-101, -466, -834, 497, 1271, 38, 244, -89, 254, 1094, 244, 510],
 [-75, -552, 578, 208, -2170, 196, -810, 1330, -315, -119, -519, -267],
 [-788, -1092, -1392, -168, 1171, 147, -207, -600, -422, 996, -313, -81],
 [1040, 374, -757, -823, 1205, -891, 309, -521, -220, -300, 560, 23],
 [-470, 205, 561, 1217, -65, 1270, 605, 869, -761, 58, 569, 1167],
 [388, 1714, -71, 216, 180, -1019, -360, 591, -1675, -553, 847, -207],
 [770, 1520, -758, 759, 1598, -351, 175, 144, -1424, 333, 1516, -106],
 [359, 1739, 511, 1986, 2016, -1491, -944, -428, -841, -1354, -115, -315],
 [-617, 434, -493, -824, -261, 408, 535, -168, -215, 1064, 109, -312],
 [-1012, -1060, -64, -239, -78, -83, -272, -769, 1660, 855, -1685, -422],
 [-1209, -140, -1109, -638, 369, 1402, 1686, -1443, 1117, 1272, 233, 642]]

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[User]
What is the rank of the matrix:
[[27, 690, -278, -787, 638, 294, 1046, -449, -105, 678, 477, 1057],
 [-964, 179, 1028, -666, -237, 1192, -793, -583, -915, 413, 10, 341],
 [-241, -186, 559, -113, 508, -278, -475, -407, 152, -492, -388, -259],
 [515, -340, -28, 554, -704, 512, 179, 262, 220, 763, 880, 425],
 [-15, 660, -412, -827, 343, 463, 533, -49, -151, -16, -68, 892],
 [-979, 344, 411, -123, -924, 1483, -387, 293, -1392, 18, -355, 154],
 [523, -337, -1372, 950, -302, -1347, 442, 1670, 331, -875, -253, -1535],
 [-912, 622, -447, -144, -216, 189, 425, 1424, -819, -684, -268, -329],
 [179, 471, -370, -235, -21, -684, -432, -583, 430, -658, -1239, 166],
 [-188, 278, 100, -921, 1347, -473, 635, -402, 199, 356, 611, 217],
 [159, -299, 551, -74, -206, 557, -397, -782, -20, 799, 451, 349],
 [-54, 13, 202, 573, -915, -362, -1031, 127, 492, -637, -818, -39]]?

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[User]
Determine the rank of the following matrix:
[[-768, -769, -308, -261, 83, -498, 251, -1790, 41, 173, 840, 1161],
 [242, -285, 325, 743, 51, -406, 25, -184, -12, -805, -754, -62],
 [-291, -320, 540, -675, 204, 547, -104, -681, -28, 570, 634, 572],
 [301, -366, -532, -1235, 765, 158, 582, 1, 347, 920, 361, -131],
 [-613, -74, 732, -733, -519, -275, -220, -1168, -194, 792, 872, 372],
 [-372, 60, 1238, -116, -1147, -721, -849, -405, -620, 213, -28, 326],
 [-132, -1012, 553, -790, 271, -70, -749, -138, -612, 295, 371, 700],
 [405, -486, 454, -705, 529, -744, -1074, 176, -1247, 434, -482, 697],
 [-795, 447, 490, -406, -871, 149, -998, 83, -670, 598, 1227, 10],
 [-62, -353, -191, -107, 324, 82, -336, 202, -305, -78, 258, 177],
 [268, -632, 895, -368, -148, -1299, -1842, 704, -1762, -14, -566, 394],
 [-119, 64, -210, -139, 81, -958, -392, -417, -669, 210, 226, -45]]

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[User]
What is the rank of the matrix:
[[-183, 332, 317, 139, 514, 495, -659, -1050, -357, 409, -437, -267],
 [-172, 752, 193, -743, 979, -535, -1000, -383, 450, 305, -1067, -143],
 [728, -52, 1061, 790, -416, -175, -553, -824, 268, 1366, -6, -831],
 [-16, 767, 436, -286, 641, 305, 479, -737, -1699, -101, -769, -442],
 [708, 20, 645, 1029, 374, 855, 952, -188, -325, 1444, -716, -40],
 [-827, 215, -302, -1351, -31, -38, 621, 876, -229, -714, 295, -263],
 [-114, 243, 398, 248, 421, 210, -923, -1360, -429, 800, -361, -61],
 [174, -527, 325, 215, -662, -115, -93, -680, -806, -237, 635, 106],
 [-295, 420, 21, 470, 738, 1422, 1212, 342, -461, 696, -62, -623],
 [410, 405, 586, 503, 1210, 249, -661, -625, 288, 241, -558, -629],
 [-329, 920, -399, -84, -58, 163, -204, -181, -83, 317, -806, -338],
 [-291, 82, -745, 324, -595, 55, -342, -84, 481, 755, -310, 733]]?

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[User]
Find the rank of the matrix:
[[-54, -268, -60, -256, -271, 62, 368, 742, 97, 147, -530, -82],
 [27, -214, -59, -241, -221, 20, 265, 526, 106, 88, -362, -20],
 [615, -145, -120, -530, -225, -260, -35, 0, 265, -150, 130, 390],
 [543, -144, -153, -319, -107, -160, -103, -586, 390, -246, 522, 292],
 [564, -248, -198, -382, -177, -130, -10, -558, 497, -249, 506, 270],
 [-549, -329, -86, 280, -78, 418, 459, 74, 230, 133, -172, -516],
 [-384, 336, 152, 536, 356, 104, -264, -424, -324, 20, 216, -184],
 [24, 142, 46, 86, 110, -52, -164, -192, -100, -38, 140, 56],
 [-381, -706, -293, 117, -264, 534, 695, -340, 757, 1, 148, -570],
 [204, -172, -92, -228, -150, -36, 104, 20, 214, -50, 28, 84],
 [-276, 43, 75, 111, 11, 78, 102, 448, -202, 153, -370, -148],
 [750, -242, -210, -534, -223, -234, -60, -518, 515, -285, 518, 410]]

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[User]
Compute the rank of the given 12x12 matrix:
[[307, -180, 114, -56, -197, 397, 119, 564, 198, -910, -340, 156],
 [172, 925, -64, 429, -1, -738, 342, -20, 102, 182, 1290, -90],
 [-58, -296, -387, -1359, 951, -346, -638, 299, -511, 42, 382, -57],
 [-167, -609, -323, 246, -531, 1129, -103, 523, -357, -258, -922, 399],
 [-298, -454, -646, -1180, 662, 182, -686, 162, -854, 508, 4, -66],
 [-71, 185, 285, 933, -958, 729, 552, -878, 218, 602, -864, -465],
 [229, 214, 273, 638, -783, 623, 544, -232, 316, -196, -560, -279],
 [-108, 376, 140, 833, 385, -1396, -32, 490, 423, -270, 1393, 900],
 [-202, -69, -351, -718, 440, -72, -353, -240, -507, 646, 163, -271],
 [249, 209, 12, 806, -891, 785, 521, 358, 147, -526, -325, 92],
 [176, -135, -229, -702, 246, 210, -179, 458, -249, -414, 31, -49],
 [-223, -510, 243, -463, 740, -701, -488, -108, 177, 10, -59, 271]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-209, -758, 361, -301, 940, 95, -262, -240, 389, -1064, 317, 323],
 [189, 193, 2016, 238, 834, -384, 228, 446, 826, -1227, -1013, -816],
 [1439, -1566, 222, -1436, 358, 159, -371, -954, 334, 585, -99, -326],
 [506, -948, -855, -15, -310, -44, -105, -699, -827, 534, -302, -275],
 [339, -114, 1505, -1235, 427, 198, 1627, -1489, 1629, 588, -235, -754],
 [-2465, 939, 226, 1607, 396, -535, 380, 73, -439, 141, -437, -64],
 [-1172, 739, 1471, 382, 70, -509, 1469, -560, 939, 642, -523, -510],
 [2303, 226, -521, 724, 114, 244, -572, 1427, -78, 126, -511, 735],
 [-240, 1428, -1406, 280, -982, 1030, -301, 718, -483, 455, -122, 525],
 [-618, 75, 367, -333, 1183, 550, 285, 253, -735, -537, -756, -954],
 [1746, -939, 56, -627, 14, 734, -852, 129, 430, -1175, -210, 567],
 [-138, 321, 656, 661, 1568, -493, 626, 1111, 51, -1717, 784, 128]]

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[User]
Find the rank of the matrix:
[[384, -595, 351, -53, -222, 455, -814, 579, 92, -828, -757, 94],
 [593, -353, -101, -216, -328, 198, 124, 364, -142, -423, -306, -50],
 [-423, 914, 349, 940, 1000, -1088, 239, -35, 160, -234, -417, 810],
 [386, 727, -183, 683, 656, -845, 522, -65, 119, -491, -658, 841],
 [-91, -617, 337, -83, -266, 696, -880, 408, 156, -250, -459, -4],
 [15, -615, -65, -895, -690, 150, -540, 360, -636, -130, 925, -898],
 [-359, -483, -211, -384, -434, 1026, -868, -398, 285, 608, 269, -309],
 [-485, -575, -274, -393, -532, 434, -663, 570, -445, 406, 389, -94],
 [739, 332, -63, 146, 252, 216, 265, -987, 732, -288, -457, -12],
 [391, -294, -340, -185, -258, 333, -582, 75, 16, -347, -277, 130],
 [-122, 174, 381, 552, 428, -266, -175, 318, 172, -393, -685, 563],
 [-542, 743, -98, 522, 538, -149, 843, -855, 471, 1007, 160, 280]]

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[User]
Calculate the rank of matrix A where A =
[[-345, -267, -135, 21, -192, 222, 9, -96, -90, 684, 228, 321],
 [-235, 656, -225, -502, 350, 154, -525, -831, -254, -453, -14, -438],
 [137, 436, -197, -652, -249, -152, 215, 88, -455, -496, 94, 192],
 [101, -298, 782, 103, 1189, -619, -383, 414, 486, -743, -710, -1087],
 [281, -346, 495, -500, 216, -790, 487, 1205, -136, -581, -314, -44],
 [379, -622, 262, 163, -476, -403, 799, 1233, 45, 184, 2, 589],
 [24, 693, -274, 59, 167, 340, -500, -960, 41, -410, -6, -409],
 [-5, 49, 645, 279, 1433, -324, -851, -337, 621, -839, -736, -1457],
 [200, 20, 562, -102, 924, -546, -292, 276, 278, -922, -584, -914],
 [-299, 28, -355, -78, -399, 366, 7, -354, -227, 592, 350, 434],
 [79, -194, 762, 49, 1267, -601, -477, 282, 470, -837, -730, -1185],
 [415, 722, -177, -568, -173, -206, 165, -4, -357, -978, -34, -32]]

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[User]
Determine the rank of the following matrix:
[[687, 740, -311, 267, -618, 288, 512, -1044, -440, 175, -538, -434],
 [334, 79, -619, 871, -275, -643, 354, 171, 186, 563, 271, -856],
 [413, -641, 893, -601, -151, 445, -334, 72, 100, -106, -764, 620],
 [-131, 731, -261, -43, 32, 267, 212, -651, -254, -187, 39, -51],
 [793, 406, -317, 213, -875, 276, 498, -911, -810, 172, -647, -383],
 [344, 379, -245, 793, 137, -511, 242, 31, 994, 589, 175, -752],
 [22, 440, 701, -565, 391, 634, -194, -550, 560, -277, -454, 533],
 [-343, -1091, 232, -872, -421, 359, -358, 463, -1502, -602, -167, 868],
 [420, 644, -153, 189, -262, 208, 328, -751, -46, 124, -329, -294],
 [-612, 176, 172, -696, 303, 498, -214, -213, -470, -617, 101, 661],
 [12, 654, -701, 673, -24, -370, 396, -259, 114, 286, 399, -710],
 [167, 251, 251, -267, -52, 387, 12, -457, -42, -133, -367, 209]]

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[User]
Find the rank of the matrix:
[[44, 80, -613, 253, 669, -354, -791, -180, -768, -38, -692, 166],
 [492, 231, 462, 395, -159, 106, 491, -680, 588, 419, 471, -1090],
 [104, -9, 183, -41, -167, 99, 128, 130, 164, -170, 245, 18],
 [-1012, -294, -225, -580, -212, 41, 333, 258, 32, 545, -400, 556],
 [-184, -153, -195, -272, 22, -12, -328, 604, -340, -527, -133, 804],
 [168, -17, 277, -68, -254, 152, 176, 228, 236, -299, 379, 60],
 [-124, -90, 63, -189, -161, 82, 79, 284, 56, -168, 98, 290],
 [-336, -167, -35, -332, -170, 74, 50, 432, -28, -167, -23, 540],
 [80, 76, -404, 214, 470, -246, -540, -172, -512, -14, -456, 44],
 [264, 131, -247, 304, 398, -196, -432, -260, -356, -35, -265, -172],
 [-56, 131, -457, 321, 547, -307, -368, -618, -412, 552, -627, -394],
 [372, 89, 200, 158, -52, 55, 13, -30, 124, -232, 287, -204]]

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[User]
Determine the rank of the following matrix:
[[22, 6, -4, 13, -10, 8, -10, -26, 7, -25, 25, 20],
 [374, 102, -68, 221, -170, 136, -170, -442, 119, -425, 425, 340],
 [-176, -48, 32, -104, 80, -64, 80, 208, -56, 200, -200, -160],
 [308, 84, -56, 182, -140, 112, -140, -364, 98, -350, 350, 280],
 [462, 126, -84, 273, -210, 168, -210, -546, 147, -525, 525, 420],
 [-352, -96, 64, -208, 160, -128, 160, 416, -112, 400, -400, -320],
 [462, 126, -84, 273, -210, 168, -210, -546, 147, -525, 525, 420],
 [-176, -48, 32, -104, 80, -64, 80, 208, -56, 200, -200, -160],
 [242, 66, -44, 143, -110, 88, -110, -286, 77, -275, 275, 220],
 [-308, -84, 56, -182, 140, -112, 140, 364, -98, 350, -350, -280],
 [418, 114, -76, 247, -190, 152, -190, -494, 133, -475, 475, 380],
 [528, 144, -96, 312, -240, 192, -240, -624, 168, -600, 600, 480]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-696, -51, 677, 332, 183, 272, -443, 385, -198, 434, -684, 834],
 [473, -146, -678, -496, 739, -1457, 142, 306, 258, -326, 98, 523],
 [-526, -1315, 636, -680, 341, -942, 790, 943, -419, 236, -379, 632],
 [101, -385, -481, -654, 288, -961, 213, 335, -43, -544, 549, 220],
 [-972, 382, 202, -1208, 347, -855, 48, 931, -208, -6, -32, -428],
 [-647, -30, 763, -514, -1369, -195, 166, -43, -434, 411, 465, -685],
 [-535, -809, 1542, -590, -256, 600, 456, 278, -772, 530, -160, -708],
 [43, -557, -901, -746, 478, -1314, 559, 622, 120, -720, 616, 361],
 [285, 44, 535, -619, 814, -176, -267, 107, -211, -61, 594, -363],
 [809, -349, -754, 137, 883, -385, 671, 38, 435, -138, -735, 136],
 [-378, 571, 6, -1387, 285, -753, 505, 517, -94, 138, -882, -1376],
 [168, 882, -558, 1277, -1134, 1119, -290, -885, 531, 105, 626, -323]]

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[User]
What is the rank of the matrix:
[[-138, 86, -250, 148, 345, -26, 25, -202, 48, -171, 87, -192],
 [282, -59, 430, -247, -525, 134, -70, 328, -12, 369, -213, 318],
 [-28, 129, -128, 83, 242, 72, -13, -122, 92, -16, -16, -110],
 [-450, -241, -454, 235, 321, -446, 166, -280, -228, -645, 441, -294],
 [-208, -39, -260, 143, 260, -156, 65, -182, -52, -286, 182, -182],
 [54, 122, -10, 16, 105, 118, -35, -34, 96, 93, -81, -24],
 [48, 9, 60, -33, -60, 36, -15, 42, 12, 66, -42, 42],
 [-142, -228, -38, 2, -133, -246, 77, 22, -184, -229, 185, 4],
 [232, -46, 352, -202, -428, 112, -58, 268, -8, 304, -176, 260],
 [552, 551, 380, -167, 0, 724, -245, 158, 468, 834, -618, 198],
 [-370, -584, -106, 10, -331, -634, 199, 50, -472, -595, 479, 4],
 [-112, -558, 232, -178, -688, -456, 122, 292, -424, -244, 260, 244]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[517, -170, -206, 742, 149, 138, -461, -1302, 147, 703, -1197, 1356],
 [-450, -83, -87, -573, 318, -65, -17, 466, 2, -498, 333, -932],
 [48, -780, -310, 14, -323, -129, -57, 192, 133, 499, -796, -229],
 [-514, 483, -678, 443, 856, 943, -230, -157, 584, -545, -1172, 324],
 [-378, 464, -464, 382, 155, 887, 635, -178, 15, 299, -494, 141],
 [428, 144, 674, -342, -315, -13, -773, -576, -7, -567, 692, 887],
 [-509, -755, -375, -510, 206, -948, -589, 1028, 554, -1187, -291, -797],
 [319, -242, 125, 67, -545, 318, 46, -255, -115, 630, -198, 331],
 [-331, 692, -243, 697, -1092, -313, 1801, 63, -400, 226, 796, 962],
 [-378, -127, -739, 642, 18, -723, 49, -74, 534, -690, -874, 986],
 [-384, 385, -434, 367, 595, 132, -193, 123, 489, -793, -571, 326],
 [-261, 309, 273, -381, -217, -533, 932, 644, -551, -19, 1430, -932]]

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[User]
What is the rank of the matrix:
[[-81, -1072, -1207, -160, 424, -1018, 179, -97, -413, -108, 647, -131],
 [531, 146, -16, -460, -74, 377, -487, 86, -53, -36, 488, 640],
 [273, 950, 408, 356, 174, 827, 453, -288, 453, 432, -840, 376],
 [-117, -556, 45, -460, -392, -378, -713, 379, -333, -444, 799, -179],
 [78, -37, -358, 147, 310, -86, 355, -193, 11, 186, -169, 103],
 [138, 1177, 1249, 203, -384, 1117, -125, 68, 435, 174, -748, 206],
 [-282, 431, 735, 817, 174, 195, 634, 3, -157, 408, -1224, -302],
 [351, 224, -480, -474, -36, 313, -190, -255, 547, -102, 534, 418],
 [-117, 132, -270, 214, 188, -17, 448, -283, 331, 126, -292, -132],
 [-567, -210, 551, 190, -364, -306, -145, 291, -169, -240, -141, -699],
 [426, 8, -845, -250, 366, 69, 194, -367, 284, 132, 323, 517],
 [-15, 199, 85, 599, 432, 46, 679, -157, -168, 444, -856, 14]]?

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[User]
What is the rank of the matrix:
[[280, -541, 477, 135, 171, 129, 57, -202, 580, 345, 470, 280],
 [44, -36, 874, 452, 152, 1259, -256, -551, -858, 391, 235, -483],
 [440, -476, -456, 226, 270, 97, 804, 230, -193, -181, 187, 56],
 [173, 1047, -298, 602, 253, -475, 83, 124, 516, 154, -842, 322],
 [-1068, -386, 472, -1322, -168, -767, 158, 457, -495, -934, 543, -97],
 [-137, -833, 1323, 247, 790, 1062, -21, -133, 255, 223, 1042, 324],
 [4, -212, -164, 404, 808, 158, 336, 593, 649, -188, 238, 785],
 [225, -677, 15, -631, -900, -575, -160, -489, 638, 249, 336, -615],
 [787, 714, 424, 380, -259, -135, -537, -1082, 723, 1073, -619, -202],
 [-1120, -1189, 1307, -825, -189, 459, -480, 197, -447, -375, 1357, 48],
 [35, 923, -368, -422, 675, -264, 339, -82, 175, -439, -681, -542],
 [549, -143, -641, 769, 250, -196, 396, 456, 306, 211, -111, 1088]]?

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[User]
Determine the rank of the following matrix:
[[-661, -691, -26, 277, 70, 839, 139, 352, 11, -274, -875, 558],
 [690, 482, -34, 346, -22, -558, 218, 123, 247, -51, 866, -386],
 [880, 640, -208, 488, 128, -320, 584, 356, 268, 100, 872, -120],
 [-750, -878, 14, 534, -726, -315, 67, 412, 468, 2, -439, 2],
 [-55, -281, 110, 511, -474, -645, -37, 200, 429, -226, 349, -426],
 [-83, -313, 259, 416, 71, 118, -243, 72, 139, -801, 91, -250],
 [727, 977, -117, -764, 923, 665, 32, -446, -659, 201, 188, 292],
 [322, 446, -79, -351, 321, 170, 41, -192, -258, 205, 115, 106],
 [451, 541, -555, 18, 557, 903, 996, 490, -179, 691, -248, 964],
 [-184, -360, 484, 152, 292, 319, -687, -263, -91, -1199, -1, -396],
 [-19, 287, -137, -668, 355, 497, -2, -281, -454, 446, -398, 414],
 [257, 199, -28, 85, 292, 275, 129, 66, -61, -162, 119, 94]]

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[User]
Find the rank of the matrix:
[[821, -71, 1324, -1139, -150, 345, -1084, -1605, -107, -769, -872, -955],
 [-329, -181, -757, -465, -617, 15, -1075, 416, 310, 1126, 233, 1204],
 [583, 573, 739, -1907, -195, 865, -623, -266, 504, -330, -1439, -992],
 [-298, -556, 170, 225, -1178, 140, 303, 490, -544, -759, 239, 779],
 [-1027, -545, 1004, -130, -1469, -235, 125, -566, 481, 625, -879, 317],
 [-1353, -307, -391, 1234, -362, -464, 1190, 486, 226, 715, 684, 959],
 [224, -28, -1008, 530, -508, -385, 204, 1335, -789, -561, 460, 9],
 [159, 24, 29, -508, 320, -1234, 45, 8, 1259, 1820, -1050, -446],
 [-372, -457, 236, 481, 478, -643, 933, -508, -128, -81, 139, -404],
 [-84, -568, 118, 227, -718, -724, 665, 176, -28, -1282, -25, 260],
 [-239, 1696, -809, 1332, -13, 644, 978, 994, -327, -374, 1406, -541],
 [-2327, 347, -1738, 1742, -1002, -598, -181, -413, -119, 368, 2028, 870]]

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[User]
What is the rank of the matrix:
[[-73, 94, -7, 134, 84, 174, -104, -58, 186, 24, 165, 109],
 [-204, 144, -18, 236, 102, 480, -300, -46, 538, 154, 370, 302],
 [-209, 38, -17, 114, -18, 486, -316, 60, 568, 238, 295, 307],
 [-144, -180, -9, -162, -243, 324, -234, 243, 423, 315, 45, 207],
 [126, -612, 18, -756, -648, -324, 144, 540, -252, 288, -630, -198],
 [216, -72, 18, -156, -18, -504, 324, -30, -582, -222, -330, -318],
 [201, -390, 21, -522, -378, -486, 276, 288, -492, 30, -555, -303],
 [115, -298, 13, -386, -300, -282, 152, 238, -270, 72, -375, -175],
 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
 [-146, 416, -17, 534, 423, 360, -190, -339, 337, -119, 505, 223],
 [139, -610, 19, -758, -642, -354, 164, 532, -288, 270, -645, -217],
 [323, -38, 26, -152, 51, -750, 490, -113, -881, -383, -440, -474]]?

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[User]
Determine the rank of the following matrix:
[[-500, 453, 175, -820, -451, -514, -353, -1167, -458, 965, 818, 763],
 [-317, -598, 468, 1143, 196, 91, 563, 748, 691, -547, -359, -313],
 [-313, -233, 540, -171, 431, 371, -701, 404, 239, 538, 365, -221],
 [-79, -37, 470, 83, 27, 249, -295, 22, 103, 68, -13, -145],
 [558, 221, 515, -62, -31, 764, -662, -5, -111, -315, -502, -539],
 [-461, -238, -637, 241, -26, -811, 901, 47, 132, 71, 325, 514],
 [-145, -651, -145, 903, 451, 9, 646, 1073, 625, -528, -301, -338],
 [72, 341, -65, -428, -283, -130, -160, -593, -341, 215, 144, 251],
 [-380, -454, -171, -22, 604, -42, -83, 771, 342, 406, 422, -71],
 [-157, 69, -1196, -463, -23, -877, 658, -194, -278, 310, 487, 643],
 [-634, -348, 10, 34, 292, -326, 96, 294, 282, 522, 566, 240],
 [196, -263, 244, 222, 423, 560, -336, 724, 280, -207, -268, -552]]

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[User]
What is the rank of the matrix:
[[1285, 671, -627, 351, 345, 671, 568, -789, -350, 243, 256, -142],
 [551, 177, -130, 812, 131, -69, -417, 327, -372, -291, -452, 178],
 [-252, -1307, -2346, 286, 1863, 530, 1586, 564, -1311, 339, 101, -730],
 [-1333, -174, 228, -1889, 467, -304, 1325, 422, 341, 915, -309, 124],
 [-1031, 337, 238, -2009, -746, -484, 1349, 124, 304, 1152, 988, -1158],
 [-154, 62, 1102, 328, 62, -107, -595, 839, -805, 79, -637, 1190],
 [128, -277, -504, 81, -402, 387, 374, -761, 249, -166, 1351, -818],
 [395, 306, -761, 579, 844, -262, -1207, -137, 1142, -437, -662, -194],
 [-733, 511, -382, -1138, 1129, -940, 50, 561, -211, 950, -643, -1002],
 [-488, 756, 1343, -612, 359, -533, -509, 350, -98, 500, 2, 416],
 [725, 858, -950, 261, 80, 82, -215, 1769, 724, 940, -275, 371],
 [-1432, -1147, -1385, -1544, 135, 325, 747, 377, 118, 1341, 961, -1111]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[-143, -169, -312, 312, 221, 312, 299, 39, 247, 325, 182, 104],
 [253, 299, 552, -552, -391, -552, -529, -69, -437, -575, -322, -184],
 [132, 156, 288, -288, -204, -288, -276, -36, -228, -300, -168, -96],
 [-66, -78, -144, 144, 102, 144, 138, 18, 114, 150, 84, 48],
 [-132, -156, -288, 288, 204, 288, 276, 36, 228, 300, 168, 96],
 [187, 221, 408, -408, -289, -408, -391, -51, -323, -425, -238, -136],
 [220, 260, 480, -480, -340, -480, -460, -60, -380, -500, -280, -160],
 [-66, -78, -144, 144, 102, 144, 138, 18, 114, 150, 84, 48],
 [110, 130, 240, -240, -170, -240, -230, -30, -190, -250, -140, -80],
 [165, 195, 360, -360, -255, -360, -345, -45, -285, -375, -210, -120],
 [110, 130, 240, -240, -170, -240, -230, -30, -190, -250, -140, -80],
 [-220, -260, -480, 480, 340, 480, 460, 60, 380, 500, 280, 160]]

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[User]
Find the rank of the matrix:
[[112, -24, -443, 519, 518, -199, 814, -235, -581, -44, 371, -180],
 [5, -225, 242, -1020, -27, 419, -751, 70, -164, -608, -391, -390],
 [49, -74, -362, 309, 350, 196, 810, -332, -958, -268, 595, -536],
 [-302, 126, -102, 958, 55, 29, 1147, 47, -188, 170, 635, 193],
 [-159, 109, -253, 997, 401, -418, 1061, 119, 103, 260, 284, 470],
 [-378, 151, 581, -38, -848, 423, -340, 296, 591, 226, 66, 287],
 [412, -285, -542, -477, 768, 58, 148, -481, -1186, -646, 85, -879],
 [332, 76, -429, 437, 327, -532, 235, -264, -89, 366, 56, 57],
 [81, 351, -413, 1487, -88, -499, 1080, -288, -11, 942, 767, 335],
 [498, -241, -439, -602, 841, -484, -431, -191, -275, -364, -607, -252],
 [-111, 273, 130, 662, -503, -177, 141, 72, 564, 692, 219, 476],
 [477, 30, -136, -497, -458, 250, -750, -606, -568, 180, 217, -764]]

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[User]
Determine the rank of the following matrix:
[[-206, 369, -366, -48, -996, 81, 706, 264, 213, 1272, 616, -536],
 [703, 934, -1253, 144, -1004, 1097, 939, -982, 296, 954, -302, 60],
 [-671, -70, 419, 337, -560, 376, -393, 190, -66, 270, 332, -25],
 [248, -877, 206, 147, 628, -912, 144, 338, -1180, -149, 91, -680],
 [-905, -20, -20, -520, 148, -1304, 18, 932, -16, -733, 342, -169],
 [-297, -526, 1193, 23, 750, 1044, -427, -618, 610, -94, -114, 841],
 [323, -536, 360, -229, 304, -330, 596, 146, 45, 528, 101, -419],
 [1326, -486, -80, 473, 335, 1262, 297, -1638, -150, -773, -1802, 575],
 [710, 163, 214, 43, 194, 756, -349, -506, 410, -506, -824, 246],
 [-168, 682, -772, 595, -1055, -639, -965, 858, -162, 679, 926, -25],
 [247, -95, 448, -158, 775, 1403, 106, -1318, 385, -989, -1147, 781],
 [-836, 263, 130, -75, -412, -224, -593, 404, 931, -317, 199, 787]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-259, 974, 714, -298, 298, 1095, 1069, 201, -1518, 1314, -96, 346],
 [726, -707, -208, 232, -275, -397, -155, -415, 500, 226, 40, 91],
 [-188, -973, -512, -686, 350, -2071, -873, -756, 1123, -1050, 423, -2154],
 [202, -524, -466, -780, 148, -163, 549, -911, -714, 1047, 434, 526],
 [-463, -353, -1556, -1208, -403, -653, -607, 57, 524, -741, 282, -735],
 [-622, 420, -170, -669, -246, 342, 283, -410, -721, -264, 110, 299],
 [134, 26, -1184, -494, -268, 553, 485, 319, -52, 1322, 186, 549],
 [-31, 517, -684, 389, -691, 877, -204, 923, 221, -84, -301, 760],
 [1, 342, 1192, 818, 684, -46, -464, 846, -244, -559, -378, -362],
 [-273, 332, -16, 76, -639, 483, -397, 346, 136, -1230, -297, 414],
 [174, -908, 962, -1253, 1890, -824, 221, 232, -817, 548, 357, -868],
 [-604, 223, -818, -692, 73, 190, -196, 348, -649, -204, 151, 472]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-364, 134, -164, 201, -405, -694, 1143, 199, 189, -428, -1349, 979],
 [-560, 1085, -1106, -185, 734, 331, -522, -244, 453, -92, 244, 214],
 [928, 326, -59, 1465, -268, -486, 330, -359, -536, -743, -583, 808],
 [-113, -286, -185, 1144, -638, -131, -544, 630, -453, -161, 180, -209],
 [-994, -799, 871, 56, -493, -451, -8, 947, -46, 794, 304, -114],
 [286, -223, 125, -1042, -718, 1205, -740, -138, -92, 399, 545, -1467],
 [556, 130, -377, -678, -446, 754, 300, -582, -253, 102, -276, -639],
 [544, 1078, 13, -433, 681, 938, 138, -788, -10, 800, 424, -637],
 [647, 337, -352, -165, -644, 294, 411, -940, -472, -79, -461, 269],
 [511, 152, 479, -201, -135, -141, 788, -209, 397, 93, -580, 595],
 [-223, -337, -1537, 392, 240, -790, -394, 91, 387, -1276, -253, 1318],
 [847, 1521, -93, 1106, 621, 418, -605, -856, -190, 301, 739, 393]]

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[User]
What is the rank of the matrix:
[[-603, -1242, -150, -262, 1414, 902, 364, 677, -390, 342, -109, -194],
 [-757, -152, -584, -989, 109, 973, -547, 493, -132, 719, 306, -27],
 [229, 390, 1554, -1302, -283, 309, -1042, 905, -1370, -119, 485, 1490],
 [-444, 766, 177, -455, -855, 238, -273, -449, 376, -6, -197, 374],
 [-879, -360, 1119, -846, 509, 955, -49, 431, -549, 5, -458, 871],
 [320, -85, -70, -220, 252, 909, 775, -747, 470, -675, 523, 61],
 [-790, 1022, 942, -229, -1092, -588, -575, -148, 30, 86, -1197, 917],
 [-18, -1447, 322, 205, 1802, 795, 1128, 241, -310, -419, -134, -38],
 [25, -130, 410, -383, 87, 526, -116, 142, -263, -72, 459, 137],
 [-1145, -791, -61, -124, 728, 712, 133, 387, 8, 566, -526, -352],
 [-392, -320, 38, 864, 353, -251, 852, -544, 606, -235, -924, -362],
 [635, -67, -1725, 541, 275, -524, 469, -310, 581, 40, 114, -647]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[339, -479, -347, 136, 5, 1692, 1577, 475, -865, 52, -1170, 224],
 [-567, 337, 612, -209, 79, 319, 973, -267, -622, 785, -215, 114],
 [-844, -94, -461, -458, 310, -424, -23, 467, -843, 966, 769, -1305],
 [-1139, 317, -30, -411, 312, 273, 472, 113, 322, -405, -582, -196],
 [1597, 542, -385, 93, -1212, -71, 43, -875, -606, -532, -445, -657],
 [-618, 580, 378, -204, -511, 401, 1121, 823, 395, 756, -278, 2034],
 [-376, -202, 674, -958, -940, -257, 4, 807, 326, 55, -997, 1770],
 [1154, 1165, -1133, 822, -1248, -455, -199, -503, -419, -1177, 428, -1069],
 [-149, 146, 84, 117, 1444, 219, -495, -284, 1357, -404, 991, -757],
 [-539, -378, -292, -457, 1198, -308, -107, 622, 97, -170, -76, -279],
 [211, -604, -583, -1228, 614, 819, 1441, 1728, -590, 1025, -879, 785],
 [-260, 1080, 491, -432, 425, -955, 20, -731, 449, 222, 295, 47]]

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[User]
Compute the rank of the given 12x12 matrix:
[[733, 151, 227, -917, 1030, 205, -7, -1454, 298, 1163, 762, -404],
 [489, 39, -837, 478, 202, -41, 637, -662, -273, 474, -697, 562],
 [484, -536, -371, 818, -712, -378, 164, 617, 176, -1095, 1254, -1491],
 [-827, 46, -307, 333, -1041, -879, -212, 1098, -14, -1045, 1321, -1362],
 [-825, 222, -553, 51, -331, -767, 42, -578, -1038, 637, 131, 68],
 [193, -46, -546, -623, -262, -259, 272, -1212, -448, 942, 113, -271],
 [-120, 382, -154, -641, -331, -220, -26, 607, 1013, -475, 867, -1010],
 [1583, -119, 108, -280, 1392, 825, 333, -1332, 553, 889, -277, 344],
 [715, -229, 1209, -980, 659, 1337, 43, -731, 447, 940, -1403, 1464],
 [331, -882, 1688, -1138, -841, 1231, -300, 212, 361, -41, -832, 496],
 [-193, 1061, -923, 2302, 1654, -850, 390, 1186, 609, -994, 1085, -105],
 [103, -588, 166, 1341, -357, -159, 98, 637, -426, -840, 475, -299]]

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[User]
Determine the rank of the following matrix:
[[327, 731, -86, 637, 678, -670, -935, 394, -923, -940, -412, 768],
 [-721, -172, -50, -1325, -552, 1111, 105, -184, 579, 1755, 91, -152],
 [-540, 1026, 1406, -335, 35, 183, 744, -930, -771, -542, 39, 741],
 [1008, -557, -1282, 313, 96, -160, -332, 41, 420, 13, -545, -1019],
 [634, 514, 77, -198, 371, -1032, 95, -758, -473, 621, -336, -1445],
 [-183, 402, 328, -118, 521, -724, -1200, -587, -778, -379, 488, 1120],
 [479, 81, 64, 464, 0, -609, 860, 1092, 285, 246, -561, -1542],
 [-269, 94, 72, -728, -715, -419, -1115, -2298, -625, 210, 1599, 576],
 [-476, 1038, 593, 245, -398, -283, 219, -478, -1162, 291, 506, -50],
 [-766, -520, 144, -679, -247, 1217, -103, -395, 511, 14, 417, 1376],
 [650, 841, 69, 1119, 1521, -1890, -666, 716, -1283, -312, -661, -493],
 [-1100, 154, 612, 265, -759, 953, 552, -264, -373, -326, 936, 1241]]

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[User]
What is the rank of the matrix:
[[280, 104, -710, 577, 145, -243, 15, 449, -26, -384, 244, 582],
 [188, -509, -1495, 279, 1888, -666, 310, -7, -391, -399, 503, 834],
 [1240, 649, -509, 1645, 815, 465, 19, 138, 148, -1782, 731, -22],
 [-60, -311, -45, -265, 245, -127, -147, -186, 370, 184, -435, -766],
 [-419, -360, -1376, -638, 1477, -1106, 1003, -1240, 873, -136, -709, 877],
 [308, 613, 1121, 428, -1164, 741, -920, 448, -229, -106, 446, -174],
 [-689, 462, -1064, -633, 190, -1176, 413, -570, 1138, -54, -267, 2027],
 [-62, 448, -56, 135, -206, 160, 1148, 347, 198, -485, 82, -90],
 [293, 408, 720, 324, -464, 717, 1, -11, 274, -511, 232, -947],
 [-273, -59, 111, -354, -504, -207, -1085, 96, 474, 462, 59, -23],
 [713, -426, -574, 805, 713, 172, -198, -380, 88, -632, 104, -695],
 [151, -72, 624, -8, -46, 181, -621, 468, -737, 434, -176, -245]]?

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[User]
Determine the rank of the following matrix:
[[-136, 564, -128, 486, -144, 90, 716, -152, -579, 593, 9, 5],
 [283, 77, 73, -267, -7, -180, -136, -275, 21, -36, 284, 15],
 [85, -146, 848, -378, 414, -542, -231, 958, 298, -516, -440, 295],
 [-39, 643, 265, 490, -238, -691, 1186, -264, -1196, 865, -186, 391],
 [232, 794, 775, 94, 30, -946, 910, 198, -938, 516, -98, 510],
 [-397, -656, -194, 258, -462, -432, 61, 6, -642, -18, -288, 493],
 [-153, 667, -415, 470, -194, 597, 348, -20, -344, 381, 398, -127],
 [-350, 423, -65, 418, -84, 419, 117, 830, -269, -44, 91, 167],
 [238, 10, 307, -343, 187, -185, -254, 153, 260, -250, 75, 25],
 [33, 24, 1040, -200, 216, -1038, 203, 1008, -388, -260, -508, 683],
 [14, 645, 1004, 204, 532, -639, 1031, 642, -270, 461, -848, 124],
 [-412, -383, 36, 55, -111, 158, -585, 1149, 40, -693, -59, 407]]

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[User]
Calculate the rank of matrix A where A =
[[655, 1250, -1445, 1471, -1282, -634, 2072, -241, 1146, 283, -152, 171],
 [331, -533, -211, 588, -368, 1265, 617, 726, 840, -185, 298, 80],
 [-432, 1304, -1047, 393, 803, -184, -523, 772, 341, -14, -89, 1021],
 [881, -951, -289, 1113, 408, 568, 295, 58, 1576, 1081, 296, -1072],
 [-764, -789, -16, 935, 186, 326, -577, -659, -519, 631, -168, -1483],
 [-726, -1130, -906, -142, 871, 1159, -678, 505, 542, 254, 722, -923],
 [1003, -412, 513, 324, -1404, -680, 1089, -409, 376, 85, -368, -522],
 [10, 352, -445, 816, -240, -491, 1165, -1012, 879, -554, 60, -276],
 [237, 698, -111, 236, -63, 738, 70, -316, 592, -1367, -952, 1447],
 [142, -1053, 433, 1362, 41, 205, -327, -140, 1352, 120, -28, -892],
 [-1578, -1184, 745, -461, 639, 1457, -1379, -153, -294, -742, 89, -455],
 [344, -7, 936, 1502, -1249, -1062, -134, 793, -225, -17, 369, 361]]

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[User]
What is the rank of the matrix:
[[556, -216, 261, 315, -34, -639, -1024, -198, 766, 551, -245, -329],
 [923, 143, 507, 0, -625, -92, 578, -49, 23, -822, -1143, 923],
 [231, -855, -517, 407, -371, -203, 124, 395, -429, -509, -156, -129],
 [-289, -76, 718, -284, 889, 239, 1140, -213, -225, 386, 11, 1226],
 [568, -617, 450, -847, -590, -45, 1626, 251, -695, 144, 935, 725],
 [-181, 124, -537, -440, 207, 60, 63, 149, 725, -467, 196, -374],
 [1070, 55, -542, 834, -373, -300, -626, 481, -359, -542, -983, 91],
 [183, 345, -397, 221, -775, 369, 400, 430, -752, -913, -671, 176],
 [880, 144, 295, -1185, -636, 12, 1409, 584, -300, 476, 838, 798],
 [-245, 1320, 150, 747, -557, 410, -880, -104, 56, -417, -1727, -60],
 [-339, -251, -1191, 969, -131, -61, -1100, 735, -345, 85, -270, -977],
 [-279, 210, -714, 145, -643, 444, 597, 649, -669, -769, -210, -272]]?

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[User]
Determine the rank of the following matrix:
[[1314, 448, -783, 221, 664, 309, -11, 528, 526, -198, 1396, 670],
 [1237, 43, -136, -647, -231, -2576, -1488, 905, -676, -407, 20, -21],
 [104, -759, -372, -1364, 986, -1258, 274, 338, -375, 114, -1123, 68],
 [15, 166, 989, 949, 1184, -97, 667, -281, 268, -1037, -488, 997],
 [-374, 1254, 867, -191, -353, -1149, -919, -222, 622, -413, 381, -432],
 [824, -496, -1428, 308, 1020, -195, -48, 239, -20, -716, 459, 413],
 [1426, -237, -1070, -853, 2113, -455, -259, 193, 351, 939, 804, 1305],
 [232, 78, 111, 74, 92, -528, 200, 206, -1018, -1503, -72, 53],
 [-553, 766, 2307, 125, -739, -1940, -1189, -727, -286, -235, 492, 32],
 [-1146, -1472, -1470, -865, 2092, 1176, 712, -1362, 558, 1504, 122, 1006],
 [365, 402, -1248, 382, -350, 731, -623, 586, 694, 79, -436, -212],
 [-694, -142, 359, 236, -109, 1125, 1572, -41, 736, -779, 61, 47]]

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[User]
What is the rank of the matrix:
[[-26, 1028, 620, 575, 571, 187, -1093, -812, 195, 639, -1036, -483],
 [902, 99, 309, -439, -606, 936, 708, 85, 568, 473, 734, -178],
 [62, 71, 405, -232, -139, -300, -106, -14, 1152, 610, -86, -58],
 [34, 12, 50, -684, 652, -608, -110, 352, 312, -394, 370, 4],
 [694, -394, -492, -149, -430, 354, 869, 395, 364, -405, -24, 499],
 [332, -242, -476, -475, 455, -315, 355, 512, 5, -897, 110, 383],
 [369, 268, -291, 714, -73, 583, -15, -333, -239, -141, -1007, 202],
 [729, 84, -157, -251, 147, 80, 311, 209, 800, -256, -379, 306],
 [-248, -2, 488, -562, 81, -443, -176, 115, 527, 434, 688, -300],
 [430, -232, 144, -1157, 108, -83, 580, 614, 355, -229, 1386, -100],
 [51, 446, 919, -903, 296, 80, -270, -23, 218, 630, 1381, -799],
 [519, 1238, 1433, -214, -52, 1245, -566, -811, 225, 1513, 809, -1249]]?

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[User]
Calculate the rank of matrix A where A =
[[-412, 499, -89, 226, -59, -204, -202, -283, 239, 10, -423, 345],
 [-8, -409, 494, 269, 29, 264, -158, 373, -59, -40, 243, -345],
 [-388, -24, 501, 525, -20, 124, -372, 180, 150, -38, -102, -90],
 [-48, 171, -144, -45, -15, -96, 18, -135, 45, 12, -117, 135],
 [284, -793, 593, 128, 73, 428, -26, 601, -233, -50, 561, -615],
 [328, -856, 614, 110, 80, 456, -8, 640, -260, -52, 612, -660],
 [84, 232, -377, -257, -12, -172, 164, -244, 2, 30, -114, 210],
 [-620, 365, 323, 584, -61, -60, -446, -77, 301, -22, -405, 195],
 [-48, 546, -588, -282, -42, -336, 156, -474, 102, 48, -342, 450],
 [-432, 664, -260, 148, -72, -304, -160, -424, 272, 24, -528, 480],
 [160, 305, -556, -403, -13, -240, 262, -341, -17, 44, -135, 285],
 [-80, 410, -388, -154, -34, -240, 76, -338, 94, 32, -270, 330]]

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[User]
Calculate the rank of matrix A where A =
[[-544, 184, 242, -42, -506, 157, 348, 279, -606, -210, -141, 365],
 [75, -935, 265, -605, -155, -155, 490, -870, -80, 135, 175, -475],
 [-79, -199, 618, -625, -612, -136, 177, -206, -752, -798, -329, 201],
 [797, -308, -1, 20, 100, 100, 141, -280, 234, 191, -305, -289],
 [-381, 448, 193, -42, -284, -29, -179, 407, -440, -535, -136, 434],
 [-186, -227, -35, 61, -120, 169, 452, -105, -56, 397, 75, -93],
 [764, -682, -78, -94, 236, 32, 280, -632, 436, 490, -48, -572],
 [-375, 10, -26, -180, 137, -254, -294, -79, 64, -164, 354, -8],
 [-271, -848, 224, -648, -99, -269, 340, -822, -78, 70, 407, -417],
 [561, -279, 336, -217, -350, 126, 347, -214, -312, -212, -517, -43],
 [-270, -193, 173, -87, -374, 170, 528, -62, -370, 113, -78, 56],
 [317, 84, -206, 106, 395, -132, -420, -19, 428, 36, 98, -140]]

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[User]
Calculate the rank of matrix A where A =
[[-160, 41, -86, -887, -303, -475, 523, -570, 541, -188, -275, 20],
 [-820, 1110, 592, -779, -115, -935, -359, 250, 374, 256, 125, -990],
 [-257, 382, 88, -348, -354, 9, -345, -796, 485, -301, 462, -695],
 [-1078, 808, 887, -996, -281, -733, 80, 359, 340, -32, -372, -368],
 [-1397, 1479, 1292, -733, -524, -1074, 235, 226, 23, 587, -373, -729],
 [-340, 363, -40, -996, 122, -388, -789, 110, 848, -539, 442, -867],
 [-784, 270, -451, -1498, -784, 23, 214, -117, 652, -99, -54, -1039],
 [-1018, 806, 1273, -438, 153, -613, -430, 901, 78, -138, -246, -146],
 [605, 99, -136, -587, 1002, -1174, -881, -22, 981, -623, 489, -131],
 [-801, 333, 521, 78, -802, 452, 576, -79, -481, 375, -382, -91],
 [-393, -329, -62, -184, -766, 807, 644, -376, -143, -126, -348, 184],
 [95, -265, -284, 502, 69, 383, 289, 876, -722, 592, -308, 236]]

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[User]
Find the rank of the matrix:
[[594, -1369, -1336, -90, 440, 798, -1409, -815, -474, 838, 436, 44],
 [35, -84, -342, 610, -54, -650, -76, -403, 1414, -140, -413, -567],
 [483, 612, -184, 125, 112, -515, -81, 259, 92, -219, -455, 175],
 [170, 511, 387, 431, 508, -142, -272, 1108, -415, 835, -661, 649],
 [-377, -284, -2062, -1115, -858, 87, -265, -1231, 0, -343, 6, 124],
 [211, -263, -321, -683, -292, 876, -83, -634, -1044, -455, 779, -30],
 [1063, -248, 720, 953, 1410, 553, -971, 799, -896, 602, 306, 854],
 [-1069, -239, -19, -70, -281, 29, 563, -481, 642, -548, 397, 176],
 [1704, 781, 488, 1230, 1217, -30, -356, 185, -79, -946, 408, 307],
 [-166, 483, 137, -484, -569, 1015, 688, -117, -725, -29, 559, -115],
 [272, 979, -649, 302, -555, 543, 634, 158, 1014, 1174, -328, -195],
 [295, -593, 417, 260, -106, -613, 234, -441, 1673, -568, 321, -181]]

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[User]
Determine the rank of the following matrix:
[[-719, 12, -285, 31, -54, -71, 206, -484, -465, 247, 543, 410],
 [-817, 415, -461, -65, -263, 407, -251, -935, -432, -600, 257, 38],
 [-233, -15, -236, 183, 24, -101, 379, 19, -302, 432, 371, 221],
 [-48, -169, 680, -674, -55, 24, -1017, -543, 555, -937, -572, -82],
 [-1009, 241, -394, -105, -206, 203, -141, -981, -518, -316, 463, 299],
 [440, -6, 171, -16, 33, 44, -122, 298, 282, -148, -330, -251],
 [-504, -532, 635, -572, 95, -468, -456, -504, 180, 14, 94, 569],
 [94, -204, 321, -194, 63, -158, -196, 32, 222, -32, -144, 65],
 [96, 6, -441, 528, 105, -156, 882, 558, -402, 936, 486, 153],
 [25, -301, 581, -451, 53, -191, -547, -187, 402, -318, -305, 94],
 [338, 399, -318, 236, -111, 410, 19, 169, 9, -355, -246, -482],
 [432, 240, -456, 528, 24, 144, 624, 624, -192, 432, 96, -264]]

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[User]
What is the rank of the matrix:
[[372, 449, -350, -78, -59, -109, -78, -16, -339, 5, 319, -88],
 [-464, -481, -523, -20, -521, -707, 330, 589, -687, -231, 596, -337],
 [840, 586, 489, 568, 174, 312, -258, -575, 362, 670, -313, 557],
 [1021, 814, -10, 495, -137, 64, -114, -396, -188, 689, 282, 399],
 [219, -43, -119, 471, -512, -325, 282, 113, -405, 470, 496, 182],
 [946, 686, -324, 680, -292, -792, -258, -50, -688, 426, 398, 174],
 [699, 312, 21, 900, -219, -891, -297, -36, -423, 432, 27, 282],
 [-1017, -859, 82, -444, 46, 96, 249, 353, 244, -521, -203, -303],
 [-223, -362, 139, 110, -367, 331, 495, 38, 71, 388, 307, 186],
 [-273, -46, 67, -558, 127, 865, 261, -136, 377, -60, 43, -44],
 [598, 584, 446, 73, 400, 729, -249, -605, 575, 373, -406, 382],
 [-306, -109, -676, -356, -223, -567, 78, 482, -653, -507, 487, -496]]?

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[User]
Determine the rank of the following matrix:
[[-173, 359, -548, 222, -734, -46, 386, -545, -332, -978, -128, 1018],
 [323, -701, 176, -156, -289, -236, 358, -187, 290, 123, -271, 92],
 [465, -701, 114, -292, 331, -331, -133, 204, 124, 435, 108, -530],
 [510, -260, -986, -174, -25, -677, -179, -179, -716, -813, 470, 296],
 [-291, 349, 32, 184, -309, 228, 198, -181, 34, -225, -179, 384],
 [-253, 17, 310, 178, -682, 247, 595, -392, 366, -138, -537, 608],
 [603, -783, -122, -344, 343, -505, -187, 172, -48, 255, 230, -482],
 [545, -545, -466, -264, 185, -557, -179, 26, -316, -183, 320, -154],
 [-30, -276, 258, 54, -579, 57, 543, -345, 348, -63, -462, 456],
 [-660, 1050, 102, 318, 195, 579, -267, 183, -108, -9, 90, -12],
 [597, -997, -178, -246, -488, -565, 467, -382, 98, -240, -215, 352],
 [-51, -189, 382, 10, -176, 131, 251, -62, 354, 264, -295, 16]]

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[User]
What is the rank of the matrix:
[[-237, 246, 426, 474, 459, 309, 612, -261, 582, -621, -72, -63],
 [416, -572, -416, -520, -624, -338, -546, 156, -520, 624, -78, 78],
 [-145, 84, 418, 438, 367, 286, 625, -303, 594, -601, -141, -54],
 [-154, 194, 196, 232, 254, 151, 269, -96, 256, -290, 3, -33],
 [-296, 478, 128, 212, 352, 137, 121, 42, 116, -208, 159, -39],
 [235, -474, 122, 42, -157, 29, 260, -237, 246, -149, -264, 9],
 [515, -788, -326, -466, -669, -302, -375, 21, -358, 507, -213, 78],
 [-90, 248, -204, -164, -26, -108, -350, 234, -332, 278, 198, 12],
 [194, -462, 268, 192, -38, 127, 481, -348, 456, -358, -321, -9],
 [-120, -48, 624, 624, 456, 408, 960, -504, 912, -888, -288, -72],
 [-336, 604, 0, 104, 320, 66, -94, 180, -88, -32, 270, -30],
 [408, -632, -240, -352, -520, -228, -268, 0, -256, 376, -180, 60]]?

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[User]
Calculate the rank of matrix A where A =
[[-1107, 314, -610, -864, -1568, -585, 1708, 44, 221, -34, 190, 744],
 [-576, 207, 47, -126, 718, -805, 1013, -708, -105, 374, 1004, 64],
 [854, -568, 106, -94, -64, 6, -78, 590, 756, -427, -1183, -629],
 [1156, -774, -76, -911, 311, -182, -55, -575, 387, 281, -434, -202],
 [867, 74, 212, 714, 1384, 221, -926, -443, 729, -107, 126, 68],
 [882, -321, 411, 282, 1008, 332, -999, -166, -62, 149, -238, -442],
 [-15, 173, 923, -819, 249, 71, 674, -401, 466, 524, 72, 1338],
 [-618, 330, -446, 447, -181, -259, 257, 44, -110, -248, 528, -85],
 [-1073, 690, -216, 59, -91, -800, 1611, -196, 479, 223, 165, 30],
 [-21, -91, -881, 761, -471, -295, -22, 679, 436, -898, -382, -992],
 [317, -309, 731, -494, 718, 212, -393, -457, -974, 918, -15, -303],
 [477, -386, -340, -242, -10, -558, 614, 10, 1084, -578, -111, 23]]

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[User]
What is the rank of the matrix:
[[802, -511, 391, -298, -539, 348, -1238, 594, -83, -145, -331, -30],
 [238, 779, 122, 566, -578, 680, -362, 1014, -1084, 1326, 970, -432],
 [-117, -20, 1243, 271, 96, -570, -1046, 705, -2443, 234, -32, -1185],
 [-911, 1269, 827, -830, 624, -805, 1444, -696, -1458, 1213, 489, -951],
 [782, -468, 213, 220, -323, 294, -984, 553, -119, -181, -606, 24],
 [-655, -786, -5, 219, 628, 120, 59, -423, 30, -390, -986, -604],
 [176, -530, 359, -916, -680, 1505, -122, -469, 1146, -52, -455, -391],
 [1864, 1139, 1513, -64, -1154, 31, 335, -298, -234, 702, 143, -113],
 [-1513, -51, -210, -936, -736, -58, -663, 107, -262, -1273, 1275, -652],
 [-1770, 401, 218, -672, -612, 160, 181, -386, -392, 171, 1945, -1499],
 [-1633, 291, -1316, -843, 69, 348, 328, 216, 448, 189, 1354, 107],
 [-357, 15, 223, -611, 776, 2, 572, -326, -345, 855, -581, -360]]?

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[User]
Find the rank of the matrix:
[[-1038, -1, -241, -472, 234, -581, -712, 358, 378, -73, 339, -748],
 [-841, -37, -281, -682, 456, -397, -647, 444, 424, -233, 647, -606],
 [-323, -608, 237, 773, -2, -654, 481, -31, -354, -203, 1260, -515],
 [-337, -769, -424, -706, -150, 307, -1180, 925, 1116, 874, -46, 20],
 [-670, 595, 310, 1003, 54, -477, 829, -688, -1650, -1370, 835, -671],
 [-384, -29, -285, 415, -182, -249, 57, 708, -189, -308, 626, -175],
 [-973, 33, -669, 331, 222, -167, -1155, 1, -522, -121, -652, -93],
 [-1371, 418, -190, 240, 168, -1274, -54, 369, -259, -709, 832, -1138],
 [265, 139, 572, -200, -156, 19, 369, -722, 95, 227, -384, -160],
 [-359, 601, -354, -1528, 358, -111, -940, 408, 1221, 358, -886, -174],
 [59, -1242, 965, 495, -222, -854, 580, -827, 457, 905, 816, -727],
 [-316, 1136, 38, 442, -230, 124, 617, -142, -1228, -1207, 0, -184]]

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[User]
What is the rank of the matrix:
[[637, 92, -372, -555, -178, -289, 166, -424, -543, -623, 535, 558],
 [720, -512, -64, -12, 148, -968, -644, 364, 340, -412, 940, 412],
 [-297, 252, -930, 49, -153, 520, 1107, -1209, -217, -53, -265, -72],
 [182, 384, -236, 502, -602, -228, 414, -330, -78, 26, 610, 108],
 [-335, 513, 824, 347, -397, 306, -168, 615, -138, 514, -280, -297],
 [744, -216, -582, 272, -245, -929, 11, -303, 210, -450, 1220, 472],
 [402, -260, -376, -252, 130, -362, -38, -230, -8, -400, 400, 310],
 [411, 465, 354, -415, -430, -45, -65, 144, -706, -266, 270, 359],
 [-321, 472, -232, 511, -468, 327, 680, -482, -77, 299, -55, -210],
 [305, 261, -74, 373, -494, -369, 135, -84, -54, -46, 670, 177],
 [-79, -253, -1450, 43, 182, 129, 1053, -1456, 162, -310, 50, 61],
 [-90, 139, 830, 354, -172, -126, -573, 880, 165, 381, 35, -187]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[-198, -391, 414, 1089, 945, -64, -277, -720, 143, -420, 249, 236],
 [-1048, -514, 530, 684, 380, -986, 469, -256, -372, 486, 323, 1275],
 [-718, -473, 40, -144, -226, -1207, -509, -156, 145, -83, -632, 940],
 [433, 222, -495, 410, 592, 63, -693, -305, 738, -719, -666, -453],
 [63, 37, 18, -884, -819, -20, -186, 285, -65, -174, -53, -44],
 [718, 339, -47, 271, 312, 732, -207, -100, 756, -1212, -54, -533],
 [1055, 378, -70, -7, -424, 872, 378, 245, 193, -792, 559, -851],
 [136, -258, 386, -95, -36, 105, -890, -422, 563, -1342, -139, 33],
 [-101, -115, -187, 702, 592, 46, 617, 81, -202, 1058, -187, 50],
 [68, 791, -397, 628, 595, 211, 1159, 198, -606, 933, 951, -365],
 [250, 40, -220, -805, -397, 245, -1023, -274, -514, 221, 158, -947],
 [-964, -509, 675, -378, 60, -11, 145, 30, -534, 1004, 3, 764]]

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[User]
Compute the rank of the given 12x12 matrix:
[[289, 85, 408, 34, 306, 442, 391, 0, -17, -408, -17, 204],
 [323, 95, 456, 38, 342, 494, 437, 0, -19, -456, -19, 228],
 [102, 30, 144, 12, 108, 156, 138, 0, -6, -144, -6, 72],
 [-51, -15, -72, -6, -54, -78, -69, 0, 3, 72, 3, -36],
 [-289, -85, -408, -34, -306, -442, -391, 0, 17, 408, 17, -204],
 [-34, -10, -48, -4, -36, -52, -46, 0, 2, 48, 2, -24],
 [238, 70, 336, 28, 252, 364, 322, 0, -14, -336, -14, 168],
 [-289, -85, -408, -34, -306, -442, -391, 0, 17, 408, 17, -204],
 [204, 60, 288, 24, 216, 312, 276, 0, -12, -288, -12, 144],
 [-187, -55, -264, -22, -198, -286, -253, 0, 11, 264, 11, -132],
 [17, 5, 24, 2, 18, 26, 23, 0, -1, -24, -1, 12],
 [-255, -75, -360, -30, -270, -390, -345, 0, 15, 360, 15, -180]]

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[User]
What is the rank of the matrix:
[[-1784, 305, -297, 614, -2026, 311, 249, 830, 844, -302, 71, -1013],
 [193, -1160, -412, 1394, -128, 1010, 348, 406, -800, 730, -798, 1312],
 [-904, -101, 374, 723, -547, 249, 599, 474, 255, -68, -108, -500],
 [-403, -949, 133, 132, 1528, -261, 95, -918, -1052, 1050, -761, 1437],
 [-834, -928, 586, 1387, 283, 1008, 350, 665, -319, -157, -798, 512],
 [-529, -90, 601, 58, -393, 581, -694, 715, 1025, -1055, 661, -518],
 [1206, 307, -610, -257, 384, -308, -87, -834, 262, -62, 572, 311],
 [-657, 155, 220, 350, -29, 172, -9, -15, 699, -747, 230, -377],
 [-249, 1005, -109, -670, -623, -334, -19, 449, -185, -442, -472, -1045],
 [-37, -614, -778, -289, 457, -253, -546, -916, -452, 914, -108, 1371],
 [-720, 69, 2, -830, -363, -490, -193, 258, -765, 777, -591, -130],
 [-107, 436, -429, 248, -238, 28, 380, 96, -484, -105, -814, -176]]?

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[User]
Calculate the rank of matrix A where A =
[[-24, 0, -7, -9, 11, 6, 11, 10, 12, 14, -6, 22],
 [-480, 0, -140, -180, 220, 120, 220, 200, 240, 280, -120, 440],
 [-336, 0, -98, -126, 154, 84, 154, 140, 168, 196, -84, 308],
 [-336, 0, -98, -126, 154, 84, 154, 140, 168, 196, -84, 308],
 [600, 0, 175, 225, -275, -150, -275, -250, -300, -350, 150, -550],
 [-168, 0, -49, -63, 77, 42, 77, 70, 84, 98, -42, 154],
 [168, 0, 49, 63, -77, -42, -77, -70, -84, -98, 42, -154],
 [-408, 0, -119, -153, 187, 102, 187, 170, 204, 238, -102, 374],
 [552, 0, 161, 207, -253, -138, -253, -230, -276, -322, 138, -506],
 [600, 0, 175, 225, -275, -150, -275, -250, -300, -350, 150, -550],
 [240, 0, 70, 90, -110, -60, -110, -100, -120, -140, 60, -220],
 [600, 0, 175, 225, -275, -150, -275, -250, -300, -350, 150, -550]]

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[User]
What is the rank of the matrix:
[[-339, -515, 469, 739, -554, 132, 381, 219, 431, 257, 506, -521],
 [87, 402, -189, -261, 234, -203, -263, -138, -30, -128, -68, 317],
 [-113, 326, 372, -11, -446, -27, 357, 412, -348, 89, -247, 182],
 [750, -301, -368, 73, 1383, 700, -474, -1094, -375, -539, 1023, 13],
 [-172, -97, 585, -159, -512, 107, 259, 222, -638, 256, -626, 4],
 [-619, -223, 1155, 41, -1094, -128, 219, 249, -503, 591, -754, -125],
 [254, -369, -619, -196, 478, 141, -156, -163, 187, -136, -81, -197],
 [-324, -651, 206, -304, -593, -38, 117, 271, -166, 441, -1078, -382],
 [-9, -10, 673, -107, 624, -37, -1127, -1484, -474, -10, 436, 297],
 [579, -292, -793, -120, 1154, 341, -466, -717, 127, -432, 559, -68],
 [681, 429, -625, -252, 1423, 163, -783, -1040, -151, -627, 831, 486],
 [-235, 714, -465, -126, -261, -718, -69, 487, 764, -16, -155, 302]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[548, 415, 79, 213, -685, 213, 123, 400, -565, 58, 239, 261],
 [485, -39, 20, 363, -81, 421, 7, -287, -990, 204, -624, 246],
 [1019, 465, 855, 612, -1365, 126, 185, 35, -616, -118, 395, 1309],
 [-1078, 418, -1040, -210, 1060, -1744, -1230, -966, 1168, 392, 106, -188],
 [429, 425, 785, -1413, -225, 156, 643, 903, 406, -141, 849, 590],
 [234, 1365, -663, 540, -599, -451, -559, 727, 54, 66, 887, -595],
 [791, -922, 672, -124, -449, 622, 550, 21, -741, -29, -799, 1021],
 [289, 118, 129, 321, 91, 344, -34, -332, -610, 76, -384, 58],
 [-49, 69, 177, 532, 447, 535, -71, 177, 430, -482, -123, -1082],
 [614, -401, 158, 945, -653, 537, 75, 424, -295, -335, -422, -156],
 [-91, -35, 249, 446, 1143, 671, -203, -459, 162, -352, -715, -1074],
 [377, -389, 1060, -147, 106, 739, 521, -72, 57, -415, -235, 302]]

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[User]
Compute the rank of the given 12x12 matrix:
[[826, 822, -858, -1347, -205, -41, -1205, 527, -1089, 579, 742, -278],
 [-321, -85, -392, 441, -509, -154, -257, -835, 802, 152, -85, 351],
 [-235, 312, 400, -436, -530, -290, 390, 132, 92, -418, -11, -168],
 [122, -175, -94, 542, -72, 714, 20, 33, -206, -309, -183, -553],
 [721, 550, 992, -1026, 161, -625, -1081, -1128, 153, -574, 563, 587],
 [-971, 111, 815, 1478, 633, -535, 812, -260, 390, -109, -948, -145],
 [1443, -1550, 366, 583, -112, 27, 646, 104, -425, 827, -144, 2141],
 [284, 452, 255, 133, 423, -70, 402, -599, 55, -10, -181, 225],
 [93, -290, 235, -377, -502, 258, 715, -870, 909, 20, 336, 796],
 [487, -220, -757, -1672, -8, 581, -841, 462, 24, -850, 861, -519],
 [217, 673, 3, -158, -405, 165, 355, 275, -846, 1209, 249, 5],
 [10, -1009, -16, -229, -300, 673, 679, 686, 133, -249, 188, 62]]

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[User]
What is the rank of the matrix:
[[-251, 182, 498, -147, 159, 350, -102, -147, -221, 195, -415, 233],
 [348, -398, -593, 536, 360, -493, 7, -257, 585, 152, 486, -9],
 [270, -300, -654, 250, -394, -351, -21, 467, 513, -92, 492, -470],
 [200, 48, -388, -236, -644, -251, 87, 541, -139, -532, 402, -298],
 [-463, 194, 601, -211, 75, 591, 169, -122, -283, 230, -707, -176],
 [-197, 300, 304, -429, -107, 218, 372, -113, -650, -358, -291, -79],
 [405, -162, -822, 13, -305, -614, 518, 105, -45, -681, 673, -471],
 [644, -436, -1214, 364, -332, -894, 226, 302, 518, -488, 1048, -474],
 [-120, -218, -323, 80, -784, 180, 6, 884, 522, 112, -20, -985],
 [-545, 420, 1003, -417, 109, 758, -144, -125, -539, 275, -861, 314],
 [-550, -38, 240, -102, -590, 708, 262, 614, 203, 307, -696, -1126],
 [176, 400, 39, -544, 100, -302, 510, -482, -1051, -895, 214, 429]]?

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[User]
Calculate the rank of matrix A where A =
[[104, 282, 317, 306, -203, 9, 526, -261, -468, 310, -158, 158],
 [888, -196, 679, -276, 619, 392, 242, 213, -49, 310, 402, -597],
 [-176, 910, 428, 462, 272, 155, -122, -132, -803, 290, -302, -47],
 [-24, 382, -6, -110, -614, 84, 359, -668, -560, 283, -385, 709],
 [688, 138, 445, -482, -43, 426, 367, -431, -459, 443, -9, 188],
 [-40, -122, -341, -502, -207, 79, -294, -187, 166, -132, -54, 316],
 [-240, 770, 124, 290, -656, 17, 462, -748, -913, 394, -574, 767],
 [224, 260, 486, 130, 1025, 260, -538, 562, -61, 23, 272, -855],
 [112, -266, -71, 94, -957, -216, 1051, -563, -143, 237, -185, 680],
 [72, -262, 250, 570, 136, -238, 491, 348, 164, 25, 207, -423],
 [56, 116, 306, 292, 620, 47, -223, 436, 11, -13, 185, -600],
 [-352, 134, 154, 824, 319, -293, 42, 458, 26, -95, 52, -482]]

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[User]
What is the rank of the matrix:
[[-502, 581, -277, -183, 287, 121, 410, -221, 246, -549, -420, 155],
 [-536, -33, -271, 474, 295, 471, -349, -915, 739, 290, -316, 103],
 [617, 372, -833, 61, 995, 79, 257, -202, -13, -396, -127, 951],
 [452, 326, -1631, -755, 21, 146, 197, -899, 470, -643, -321, 1614],
 [766, 625, 1220, 527, 515, -588, 1046, 1638, -1582, -88, 223, -1050],
 [1195, -622, -449, 1514, 455, -268, -792, -1126, 73, 1360, -54, 471],
 [325, 912, -1159, -810, -310, 52, 936, -448, -75, -838, -505, 1036],
 [383, 830, 394, -548, -70, -349, 1332, 1195, -981, -871, 26, -345],
 [-515, -1175, 864, 496, 527, -217, -1203, 339, 560, 466, 549, -691],
 [40, 251, -1192, -930, -245, -174, 393, -630, 635, -955, -329, 1096],
 [-149, -950, -902, -725, -849, 227, -1186, -916, 910, 292, 228, 938],
 [-251, 343, 186, -527, 249, -352, 891, 600, 154, -1128, -45, -229]]?

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[User]
What is the rank of the matrix:
[[437, 207, -230, 322, 69, 575, -276, -161, 207, -575, 414, -529],
 [228, 108, -120, 168, 36, 300, -144, -84, 108, -300, 216, -276],
 [-475, -225, 250, -350, -75, -625, 300, 175, -225, 625, -450, 575],
 [342, 162, -180, 252, 54, 450, -216, -126, 162, -450, 324, -414],
 [-361, -171, 190, -266, -57, -475, 228, 133, -171, 475, -342, 437],
 [323, 153, -170, 238, 51, 425, -204, -119, 153, -425, 306, -391],
 [-494, -234, 260, -364, -78, -650, 312, 182, -234, 650, -468, 598],
 [266, 126, -140, 196, 42, 350, -168, -98, 126, -350, 252, -322],
 [247, 117, -130, 182, 39, 325, -156, -91, 117, -325, 234, -299],
 [266, 126, -140, 196, 42, 350, -168, -98, 126, -350, 252, -322],
 [-418, -198, 220, -308, -66, -550, 264, 154, -198, 550, -396, 506],
 [342, 162, -180, 252, 54, 450, -216, -126, 162, -450, 324, -414]]?

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[User]
What is the rank of the matrix:
[[-1162, 662, 488, -574, -227, -1522, 183, -852, 231, -667, 21, 226],
 [230, 352, -396, -637, -991, 446, -1007, 634, 270, -416, -288, -603],
 [-864, 654, 593, -737, -44, -457, -417, 404, 928, -1440, -836, 816],
 [525, -114, 220, 414, 17, 411, 246, 1510, 858, -452, -696, 665],
 [-319, -561, 889, -476, 63, 420, 494, -121, 2, -715, -241, 117],
 [-151, -299, -1077, 678, 456, 110, -35, -69, -75, 694, 400, 159],
 [-768, 735, -264, -611, -130, -572, -825, -521, 122, -421, -59, 34],
 [141, 412, 5, -744, -733, 57, -744, -433, -411, -31, 129, -874],
 [533, 204, 226, 891, 916, -187, 427, 514, 258, 368, -248, 898],
 [-372, -147, -251, 95, 1544, 823, -564, -725, -433, 198, 8, 693],
 [141, 274, -35, -287, -731, -657, -14, -957, -738, 602, 658, -1067],
 [-568, 44, -401, -128, -45, -578, -21, -1133, -542, 434, 638, -437]]?

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[User]
What is the rank of the matrix:
[[119, 276, -250, 540, 102, -104, -653, 402, -413, 236, -326, -156],
 [-152, -29, -155, 281, 231, 157, -323, 221, -253, -151, -354, -107],
 [-194, -237, 665, -759, -265, -561, -159, -555, -109, 471, 314, -559],
 [-413, -183, -383, 555, 579, 569, -412, 441, -382, -611, -772, -69],
 [324, 240, 104, -96, -314, -367, 23, -90, 93, 451, 348, 22],
 [196, 86, 434, -494, -424, -599, -5, -380, 65, 623, 496, -236],
 [257, 162, -60, 6, -172, -52, 269, -12, 229, 100, 250, 242],
 [-187, -180, -62, -12, 172, 291, 186, 0, 76, -363, -134, 94],
 [549, 506, -188, 334, -292, -328, -139, 220, 21, 520, 242, 178],
 [493, 529, -427, 659, -91, -94, -271, 467, -91, 304, -36, 249],
 [-501, -413, 39, -103, 357, 383, 2, -49, -108, -533, -368, -143],
 [-305, -245, -105, 65, 295, 390, 75, 65, -25, -480, -300, 35]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[-382, 102, 16, 200, -191, -117, 197, -236, -328, -490, 155, 268],
 [110, -217, 114, 31, 262, 118, 223, 412, 168, -258, -310, -215],
 [-403, 577, 120, 338, -190, -79, 124, -298, -694, 165, 745, -6],
 [297, -224, 54, -109, 275, 140, 24, 398, 322, 93, -320, -275],
 [455, -245, 208, -50, 561, 290, 179, 810, 378, 203, -390, -646],
 [564, -225, 222, -87, 627, 333, 126, 888, 432, 408, -375, -765],
 [687, -606, 86, -293, 608, 303, 41, 890, 818, 103, -845, -551],
 [153, -98, 234, 125, 410, 203, 321, 614, 70, -87, -185, -473],
 [163, -83, 324, 200, 530, 263, 446, 794, 30, -117, -185, -628],
 [131, -146, -106, -165, -38, -19, -165, -62, 226, 67, -175, 97],
 [-557, 182, -274, 35, -681, -362, -188, -966, -378, -425, 330, 853],
 [107, -259, -268, -304, -234, -125, -342, -342, 350, -29, -285, 404]]

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[User]
Find the rank of the matrix:
[[980, 198, 744, 1792, -732, 1759, -189, -767, 84, -19, 687, -299],
 [499, -828, 729, 1154, -103, 741, -40, -292, 788, 954, 670, -360],
 [496, 544, -297, 24, 251, 528, -1145, -47, 201, 493, -20, -679],
 [-724, 250, -949, 29, -1193, -55, 1776, 947, -1052, 137, 552, -315],
 [-361, -304, -386, -524, 644, -449, 31, 237, -91, 1015, 940, -501],
 [838, 682, 493, 1397, -1123, 557, 729, 5, -1174, -478, 264, -47],
 [-60, 91, -979, -451, 970, -1365, 46, 1043, -773, -155, 395, 451],
 [439, 522, 147, -114, -322, 669, -118, -451, -427, 71, 516, -463],
 [-785, -256, 480, -1747, 120, -231, -391, -710, 828, 512, -843, -462],
 [-356, -229, -523, -473, -225, -1380, 1219, 987, -453, -157, -239, 430],
 [812, 403, -1088, 1688, 147, 192, -373, 1324, -534, 59, 457, 9],
 [-391, -8, 401, 303, -522, 562, 922, -395, -875, 192, 1053, -296]]

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[User]
Compute the rank of the given 12x12 matrix:
[[1180, 404, 1250, -404, 663, -454, 678, 321, 366, -620, 1155, -1068],
 [63, -261, 1419, 1012, -318, -131, -804, 972, 45, -183, 604, -410],
 [-161, -397, 31, 756, -43, -413, 572, 41, 269, -139, -1541, 88],
 [1458, -96, 461, -224, 624, -1450, 379, 668, -320, -710, -306, -79],
 [-1246, -96, -28, 157, -1221, 1512, -1348, -860, 354, 1651, 454, 1047],
 [374, 1017, 943, 50, 515, -294, -528, -633, 691, -618, -394, -714],
 [-46, 560, -572, -668, -384, 309, -409, -713, -160, 914, -112, 684],
 [-1026, 713, -1006, -277, -853, 986, -619, -1098, -53, 1359, -649, 810],
 [-79, -147, 428, 761, -343, -312, -324, 301, 16, 136, -844, 182],
 [917, -729, 1053, -230, 327, -350, 55, 174, 453, -187, 923, 128],
 [741, -700, 1076, -113, 361, -166, 321, 433, 396, -364, 1285, -297],
 [284, 6, -65, -494, -372, 107, -246, -283, -90, 846, 258, 715]]

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[User]
Find the rank of the matrix:
[[162, -588, -445, 544, 525, -1187, 1012, -709, 548, -479, 419, 1183],
 [-593, -535, -230, 296, -118, 422, 1278, -1, 1020, -1677, 768, 420],
 [-432, -736, 2213, 724, 797, -570, -171, 779, 1830, -750, 588, -996],
 [606, -153, 935, -196, -714, -249, -258, -347, 710, -40, 1831, -1617],
 [618, 143, 1156, 53, 361, -825, -255, -1074, 1223, -218, 991, -216],
 [-342, -487, 2238, 851, 433, -1291, -587, 226, 545, -496, 727, -732],
 [-572, -204, -1131, 379, 279, 485, -38, 1155, -1327, 427, -668, 588],
 [-244, 467, -1209, -610, -1400, 1235, 351, -533, -680, -602, 462, -52],
 [465, -288, 985, 347, 1188, -1840, -130, -813, 1911, 321, -46, 54],
 [282, -56, 683, -464, 517, 833, -447, 1570, 651, 257, 324, -1807],
 [174, 247, 142, -408, -1068, 404, -96, -552, 195, -322, 1165, -1006],
 [-427, 619, -446, -756, 367, 1020, 514, 878, -87, -791, -1291, -208]]

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[User]
What is the rank of the matrix:
[[386, -136, 395, 353, 21, 162, -26, -8, -2, -95, 290, -466],
 [60, 76, 71, -53, -265, -20, -56, -34, 46, 5, -130, 36],
 [-207, -30, -222, -75, 273, -39, 69, 39, -48, 30, 30, 135],
 [-429, 222, -432, -471, -219, -213, -9, -15, 36, 120, -450, 597],
 [585, 10, 620, 295, -565, 145, -155, -85, 100, -100, 50, -465],
 [-150, -104, -169, 37, 425, 10, 94, 56, -74, 5, 170, 6],
 [-196, 176, -190, -298, -306, -132, -44, -32, 52, 70, -340, 356],
 [-442, 260, -442, -520, -312, -234, -26, -26, 52, 130, -520, 650],
 [-411, 90, -426, -315, 129, -147, 57, 27, -24, 90, -210, 435],
 [-568, 152, -586, -466, 102, -216, 64, 28, -20, 130, -340, 632],
 [-107, -18, -115, -36, 148, -19, 37, 21, -26, 15, 20, 67],
 [62, 176, 83, -163, -543, -66, -110, -68, 94, 25, -310, 146]]?

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