[User]
Compute the rank of the given 12x12 matrix:
[[596, -584, -648, -510, -646, 614, 162, 166, -230, 396, 556, 458],
 [-802, 302, 842, 196, -92, -595, 268, -643, -93, -231, -624, -156],
 [134, 348, -116, 371, 807, -91, -445, 453, 347, -210, 2, -353],
 [422, -368, -456, -315, -367, 413, 69, 157, -125, 252, 382, 281],
 [504, -462, -546, -399, -483, 504, 105, 168, -168, 315, 462, 357],
 [710, -180, -740, -85, 255, 485, -325, 645, 155, 150, 530, 55],
 [-840, 318, 882, 207, -93, -624, 279, -672, -96, -243, -654, -165],
 [-372, 454, 410, 409, 581, -426, -191, -26, 218, -303, -370, -371],
 [464, -350, -498, -291, -295, 428, 21, 220, -92, 243, 406, 257],
 [8, -384, -32, -388, -756, 188, 380, -324, -316, 240, 104, 364],
 [-398, 120, 416, 67, -105, -281, 163, -345, -71, -96, -302, -49],
 [-686, 384, 728, 295, 171, -569, 103, -441, 25, -276, -566, -253]]

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[User]
Calculate the rank of matrix A where A =
[[416, 291, -270, -545, 277, -336, -447, -405, -642, -640, -307, -33],
 [318, -826, 180, 185, 756, 448, 26, 202, 69, 359, 30, 592],
 [-78, 720, 236, -103, -300, -301, -1, 111, -88, -254, 14, -275],
 [-613, -112, 290, 500, -491, 324, 568, 457, 716, 599, 367, -85],
 [-173, 529, -72, -231, -364, -244, -5, -94, -114, -313, -26, -304],
 [-606, -629, -170, 256, -299, 517, 514, 148, 596, 512, 271, 62],
 [-334, 1036, 368, 361, -890, -482, 114, 230, 281, 67, 148, -624],
 [674, -27, -350, 139, 185, -484, -693, -541, -412, -108, -351, -105],
 [-610, -335, -270, -517, -71, 512, 499, 47, 132, -168, 161, 131],
 [508, -49, -650, -257, 135, -423, -646, -732, -559, -401, -397, -140],
 [270, -536, -344, 281, 138, -12, -268, -316, 7, 261, -128, 70],
 [165, -33, 108, 445, -70, -133, -128, 25, 149, 316, 0, -61]]

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[User]
What is the rank of the matrix:
[[751, -561, 730, 1166, -425, -199, 787, -200, -142, 780, -45, 323],
 [-203, 87, 1218, 521, 1865, 788, 958, -421, 346, 684, 369, 203],
 [496, 436, 1279, 531, 1029, 677, 1107, 320, 853, 299, -311, 696],
 [-530, 405, -1103, 8, -626, -46, -519, -368, -2031, -1359, -450, -734],
 [922, -1428, -824, -632, -388, 594, -1138, -856, -226, -734, 862, 572],
 [277, -950, -989, -167, 54, -968, -1076, -1130, 961, 1089, 1544, -719],
 [-234, 668, -198, 247, 2080, 328, -358, 451, 370, 713, -368, 1109],
 [365, 1, -863, -324, -858, -2215, -428, 1288, 492, 1402, -387, 951],
 [-3, 686, 605, 1772, -269, -37, 722, 1030, -477, 841, -1478, 607],
 [1678, -1982, -1216, -140, 16, -722, -1104, -810, 1322, 1510, 1600, 543],
 [-1391, 1080, -750, 385, 1032, -962, -766, 665, -889, 819, -828, 468],
 [-1340, 17, -1018, -591, 1202, -157, -1485, -110, 1228, 1183, 1447, -1049]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[326, -603, 136, -881, 995, 361, -341, -23, 72, -678, -800, -677],
 [792, -353, -762, 584, -159, 807, -761, 530, -363, 123, 152, -5],
 [-1049, 486, 57, 430, -427, -110, 1077, 920, -790, -341, 638, -107],
 [-175, -44, 609, -789, 673, -126, 155, -61, 141, -290, -484, -375],
 [804, -416, 160, -561, 838, 684, -804, 367, -35, -57, -596, -456],
 [994, -390, -643, 442, 43, 963, -963, 655, -367, 197, 25, -88],
 [-159, -498, 463, -1222, 1111, -70, 127, -336, 242, -911, -918, -745],
 [-595, 54, -215, 206, -319, -300, 597, -106, -128, -377, 236, 19],
 [223, 169, -150, 421, -433, -66, -219, -166, 141, 512, 275, 404],
 [24, 314, 294, 78, -132, -104, -24, 72, 62, 458, 150, 218],
 [-6, -517, -128, -504, 691, 431, 9, 370, -319, -875, -464, -695],
 [-1068, 453, 788, -529, 59, -921, 1039, -461, 266, -222, -38, 1]]

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[User]
Compute the rank of the given 12x12 matrix:
[[363, -172, -395, 219, 150, -4, 549, 401, 29, 10, -327, 535],
 [401, -213, 471, 316, 433, 652, -371, 464, -104, -612, -70, -491],
 [-190, -287, -251, -164, -296, -368, 543, -193, 68, 175, -37, 782],
 [-318, 392, 363, -183, -75, 40, -709, -368, -37, 63, 330, -810],
 [-26, 510, -162, -16, 38, -88, -262, -68, 8, 300, 40, -466],
 [-85, 414, -32, -50, 7, -52, -316, -123, -2, 211, 95, -469],
 [-74, 711, -80, -37, 65, -48, -522, -133, -7, 340, 121, -810],
 [713, -41, -525, 460, 433, 204, 545, 772, 8, -48, -514, 349],
 [-794, 31, 569, -514, -490, -240, -577, -859, -6, 59, 565, -350],
 [315, 46, 445, 261, 408, 588, -559, 351, -101, -458, 3, -761],
 [-584, -119, -13, -418, -520, -504, 173, -631, 66, 287, 253, 460],
 [134, 433, -609, 58, 22, -288, 281, 103, 62, 489, -193, 106]]

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[User]
What is the rank of the matrix:
[[-1635, 1791, 389, 715, 1093, 210, 507, -110, -1519, -875, 511, 1695],
 [-69, -898, -1040, -293, 222, -541, 632, 697, -167, 687, 907, 302],
 [53, -358, -1685, 896, -1007, -625, 166, 98, -134, 1162, 1075, -276],
 [-1491, 842, 275, 466, -395, 392, 815, 949, 224, 134, 914, 1697],
 [-600, 968, -208, -170, 1349, -764, 84, 742, -1146, -895, 55, 1788],
 [343, -705, 904, -175, 856, 132, -116, 245, 507, 196, -119, -742],
 [-1061, 1412, -21, 770, 1106, 239, 363, 43, -2158, -578, 499, 2008],
 [-118, 540, 1177, -742, 467, 108, 1186, 349, 689, -637, 125, -71],
 [419, 173, -773, -428, 868, -580, -25, -472, -1136, -509, -72, 171],
 [386, -446, -325, 569, 963, 469, -454, -1369, -1214, 503, 356, -751],
 [-740, 571, 160, 924, 262, 3, 63, -687, -518, -102, 238, -775],
 [1083, -452, -951, -1192, -630, -929, -195, 73, 537, -317, -724, -193]]?

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[User]
What is the rank of the matrix:
[[1056, -1398, -718, 226, 307, -497, 175, -175, 214, 113, -129, 153],
 [-404, 96, 631, -65, -389, -197, 734, -292, -177, -80, 348, -1069],
 [-316, 636, -34, -522, 66, 490, -296, 268, 166, -344, 188, -46],
 [115, 8, -816, -1284, 730, 471, 204, 567, 264, -907, 632, -637],
 [433, -433, -798, -832, 582, 196, 150, 330, 296, -603, 396, -380],
 [-195, 339, -508, -146, 745, 121, -107, 593, -446, -46, -129, 675],
 [515, -970, -123, -279, -86, -353, 747, -338, 257, -272, 421, -1111],
 [-675, 1171, 61, -917, 81, 811, -352, 446, 195, -607, 388, -261],
 [-105, 504, 371, 499, -512, 259, -905, -172, 259, 380, -447, 861],
 [-170, -343, 202, 368, 162, -607, 908, -89, -676, 246, 26, -415],
 [903, -1527, -378, 508, 151, -829, 657, -375, -80, 296, -109, -203],
 [979, -1419, -671, 203, 347, -579, 398, -172, 91, 93, -58, -39]]?

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[User]
Determine the rank of the following matrix:
[[789, -11, 350, -249, -490, 72, 379, 266, -211, 886, -88, 1246],
 [541, -487, 231, 153, -500, -609, 158, 93, 16, 454, 355, 1132],
 [596, -1607, 1057, -232, -477, -407, 361, 1266, -233, 1239, 250, 970],
 [-568, 561, -884, 302, -119, 167, 339, -847, -2, -833, 426, -889],
 [-1368, -210, 123, 1196, 1280, -407, 478, 457, -781, -692, 861, -111],
 [-883, 657, 513, 637, 532, 807, 365, 18, -1417, -68, -8, -211],
 [407, -456, -457, 820, 72, -1534, 1405, 422, 31, 393, 1547, 2667],
 [74, -479, -489, -98, -535, -492, 1500, 442, -317, 725, 1107, 967],
 [231, -977, 904, -771, 368, -839, -757, 1334, 153, 1136, -413, 766],
 [29, 244, -644, -1124, 118, -876, -944, -3, 916, 221, -407, -149],
 [905, -881, 796, -944, -585, -263, -806, 649, 451, 1040, -694, 389],
 [794, -487, 153, -597, -556, 415, -289, 91, 729, 185, -535, -482]]

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[User]
Find the rank of the matrix:
[[290, 45, -235, -145, 20, -105, 495, -275, -350, 255, 230, -75],
 [697, -28, -637, -693, -301, 136, 487, -300, -430, 548, 646, -501],
 [283, 103, -198, 8, 171, -271, 788, -425, -520, 277, 184, 66],
 [-719, 40, 663, 743, 339, -172, -445, 280, 410, -560, -674, 543],
 [267, 44, -215, -127, 25, -104, 469, -260, -330, 236, 210, -63],
 [-6, 71, 43, 185, 184, -203, 361, -185, -210, 29, -54, 171],
 [420, 96, -324, -132, 108, -240, 876, -480, -600, 384, 312, -36],
 [712, -131, -705, -967, -570, 431, -31, -35, -130, 511, 730, -753],
 [631, -141, -638, -920, -569, 453, -156, 35, -40, 441, 664, -726],
 [-631, 141, 638, 920, 569, -453, 156, -35, 40, -441, -664, 726],
 [488, 86, -390, -218, 60, -206, 886, -490, -620, 434, 380, -102],
 [586, -130, -592, -852, -526, 418, -140, 30, -40, 410, 616, -672]]

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[User]
What is the rank of the matrix:
[[-58, 742, 377, 1842, 232, 146, -71, 534, -1361, 416, 314, 17],
 [-257, 197, -1273, 363, -99, 1035, -50, -36, -627, -236, 543, 614],
 [-121, 769, 873, 566, 190, -73, -237, 59, 25, -30, -267, -729],
 [-353, -931, 1721, -57, 512, -1619, -974, -782, 681, 114, -24, -874],
 [-383, -176, -4, 198, 153, 1238, -1022, 443, -1573, -27, 814, -858],
 [-456, 409, 589, -200, 790, 1082, -556, 792, -591, -614, 699, -815],
 [-266, 724, -676, -437, -17, -1161, 953, -977, 1380, -527, -317, 666],
 [-623, 502, -52, 370, -17, 429, 449, -203, 789, -683, -356, -160],
 [664, -312, 1155, -107, 464, -1031, 213, -565, 382, 127, -218, -120],
 [-821, -589, 1292, 1073, 320, -333, 33, 513, 385, 385, 869, -545],
 [84, 47, 219, -498, 205, 232, -920, -25, -980, 1, 324, -741],
 [818, 1090, 1118, -569, 1175, -372, -732, -1272, -430, -877, -163, -466]]?

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[User]
What is the rank of the matrix:
[[585, -77, -644, 279, -141, 489, -50, 334, 781, 687, -530, -344],
 [115, 489, 224, 508, -400, -158, 840, 157, 639, -183, -758, -303],
 [826, -97, -626, -454, -943, -154, 534, 3, 723, -207, -664, -483],
 [-695, -213, 686, 536, 601, -300, -201, -162, -738, -4, 830, 323],
 [845, -186, -1268, -347, -35, 427, -553, 752, 665, 819, -708, -205],
 [-580, 107, 900, -40, -17, -115, 437, -782, -604, -777, 577, 269],
 [421, 416, -252, -498, -833, -803, 689, 383, 475, -646, -951, -327],
 [56, -324, -244, 1111, 529, 503, -664, 411, 478, 1336, 238, -314],
 [-283, 197, 796, 861, -400, -68, 504, -500, 441, -36, 243, -539],
 [108, -165, -388, -559, 394, -362, 209, 433, -686, -443, -331, 752],
 [-392, 243, 540, -79, 211, 1479, -317, -1107, -40, 86, 632, 94],
 [532, -493, -832, -79, 210, -346, 13, 731, -78, 275, -413, 259]]?

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[User]
What is the rank of the matrix:
[[-34, 1061, -402, -682, -469, -786, -454, -595, -1163, -876, 149, -1224],
 [71, -522, 23, -771, -1214, -211, 270, -583, 1173, -430, -147, -274],
 [-237, -340, 368, -65, -401, -164, 707, -486, -55, 450, -305, -71],
 [613, -823, -263, -261, -1513, -421, 604, -860, 1016, -400, -126, -128],
 [-111, 68, 1382, 283, 527, -176, -343, 642, 19, 986, 659, 289],
 [697, 408, 624, 384, 56, -708, -664, 288, -399, 283, 1083, -205],
 [1537, -280, 110, -257, -1133, -1672, -843, -234, -669, -474, -805, -303],
 [126, -670, -506, 203, 730, 919, 801, 9, 750, 1272, 301, 236],
 [-573, -654, -699, -282, -506, 641, 1469, -957, 584, 166, -585, -107],
 [-573, 994, 526, 340, -673, -569, -912, 257, -661, -2071, 31, 210],
 [351, -179, 590, -195, -687, -984, -317, -121, -567, -216, -899, -9],
 [1009, 73, 279, 201, -1461, -1312, -878, -123, -57, -1477, 70, 26]]?

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[User]
Find the rank of the matrix:
[[-40, 28, -24, -8, -92, 48, 16, -60, 96, -40, -8, -72],
 [220, -154, 132, 44, 506, -264, -88, 330, -528, 220, 44, 396],
 [110, -77, 66, 22, 253, -132, -44, 165, -264, 110, 22, 198],
 [200, -140, 120, 40, 460, -240, -80, 300, -480, 200, 40, 360],
 [-190, 133, -114, -38, -437, 228, 76, -285, 456, -190, -38, -342],
 [-200, 140, -120, -40, -460, 240, 80, -300, 480, -200, -40, -360],
 [-250, 175, -150, -50, -575, 300, 100, -375, 600, -250, -50, -450],
 [30, -21, 18, 6, 69, -36, -12, 45, -72, 30, 6, 54],
 [-140, 98, -84, -28, -322, 168, 56, -210, 336, -140, -28, -252],
 [-40, 28, -24, -8, -92, 48, 16, -60, 96, -40, -8, -72],
 [20, -14, 12, 4, 46, -24, -8, 30, -48, 20, 4, 36],
 [110, -77, 66, 22, 253, -132, -44, 165, -264, 110, 22, 198]]

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[User]
What is the rank of the matrix:
[[-475, 114, -190, 361, 0, -380, -152, 399, -342, -323, 152, 171],
 [-125, 30, -50, 95, 0, -100, -40, 105, -90, -85, 40, 45],
 [650, -156, 260, -494, 0, 520, 208, -546, 468, 442, -208, -234],
 [50, -12, 20, -38, 0, 40, 16, -42, 36, 34, -16, -18],
 [-625, 150, -250, 475, 0, -500, -200, 525, -450, -425, 200, 225],
 [350, -84, 140, -266, 0, 280, 112, -294, 252, 238, -112, -126],
 [550, -132, 220, -418, 0, 440, 176, -462, 396, 374, -176, -198],
 [575, -138, 230, -437, 0, 460, 184, -483, 414, 391, -184, -207],
 [450, -108, 180, -342, 0, 360, 144, -378, 324, 306, -144, -162],
 [-650, 156, -260, 494, 0, -520, -208, 546, -468, -442, 208, 234],
 [425, -102, 170, -323, 0, 340, 136, -357, 306, 289, -136, -153],
 [-175, 42, -70, 133, 0, -140, -56, 147, -126, -119, 56, 63]]?

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[User]
Find the rank of the matrix:
[[338, -540, 1136, -346, 574, 774, 808, -86, 213, 368, 954, 548],
 [-1017, 435, -75, 210, -777, -783, -109, 105, 272, -34, 32, 266],
 [35, -217, 428, 614, 159, 293, 56, 124, 213, -1034, -483, 570],
 [854, -240, -832, -246, 452, 614, -628, 184, -1067, 644, 72, -858],
 [-471, -368, -32, -411, -486, -551, 39, 325, -282, 1364, 1280, 157],
 [1336, -492, -758, -626, 782, 507, 214, -49, -253, 1230, 758, -309],
 [-370, -613, -82, 735, -495, -455, -779, 628, -637, -636, -451, 176],
 [-283, 370, 631, 851, 86, 463, -196, -96, 198, -1956, -1411, 203],
 [-972, 222, 411, 86, -620, -494, 75, 105, 195, 68, 329, 354],
 [-441, -292, 462, 95, -305, -384, 265, 159, 285, 84, 445, 589],
 [60, -8, -164, 284, 142, 212, 426, 148, 519, 112, 562, 910],
 [-1647, 511, 157, 902, -1248, -1021, -861, 340, -180, -1288, -1087, 55]]

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[User]
Determine the rank of the following matrix:
[[327, 157, 147, -312, 411, 444, -205, -209, -242, -174, -708, 572],
 [-22, -486, 487, -250, -556, -235, 49, 384, 66, 574, 197, -493],
 [85, -286, 344, -392, 59, 313, -461, -206, -88, 211, -526, 417],
 [149, 181, 115, 26, -159, -184, 445, 381, -80, 12, 198, -406],
 [-681, 1030, -27, 388, 247, 266, -544, -718, -260, -661, 37, 726],
 [-520, -154, -1175, 675, 468, -32, -445, -777, 491, -438, 360, 451],
 [26, 710, 742, -149, -312, -27, 316, 383, -445, -42, 27, -248],
 [38, 95, -269, 94, 264, 105, -44, -181, 20, -213, -108, 223],
 [1, -241, -532, 186, 243, -13, -54, -197, 236, -108, 51, 109],
 [-580, -179, -365, 402, -182, -245, -284, -287, 316, 23, 562, -75],
 [274, 216, 482, -133, -408, -279, 678, 717, -201, 192, 237, -708],
 [128, -201, 1021, -664, -354, 239, -328, 161, -306, 501, -516, 111]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-444, -451, -924, 59, -219, 172, 194, -198, 39, -499, 492, -299],
 [76, 116, -222, -1218, -420, 209, 276, -782, 548, -617, -399, 167],
 [106, 318, -164, 186, 206, -70, -368, 104, -618, 272, -670, -272],
 [75, 162, 276, 648, 486, -213, -534, 432, -654, 591, -411, -219],
 [146, 419, -124, -247, 307, -82, -614, -194, -663, 225, -1238, -339],
 [-180, -363, 282, -959, 101, 19, -194, -696, 615, -390, -261, 106],
 [290, 209, 79, -734, -797, 254, 974, -273, 908, -516, 593, 607],
 [127, -39, 375, -748, -349, 110, 452, -365, 818, -358, 285, 461],
 [274, 426, 30, 248, -70, -19, 68, 274, -322, 257, -207, 29],
 [848, 1143, 146, -473, -765, 176, 798, 88, 87, 37, -362, 531],
 [-113, -167, 49, 774, 207, -102, -92, 473, -264, 300, 419, -103],
 [-13, -156, 189, 387, -118, 0, 330, 311, 253, 49, 741, 210]]

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[User]
Determine the rank of the following matrix:
[[-586, -276, 448, 548, 722, 127, -101, -153, -336, 266, 98, -662],
 [-21, 624, -26, -64, -668, -484, 158, -286, 1278, -668, 153, 750],
 [304, -352, -213, 28, 562, -215, -440, 243, 738, 189, 479, -280],
 [-244, -268, 240, 488, 1060, 177, -490, 352, -226, 484, 336, -808],
 [243, -267, 383, -385, -277, 652, 277, 252, -1174, 1122, -473, -959],
 [-527, -379, -766, -477, 811, 760, 656, 726, -800, 109, 488, -49],
 [579, -179, -509, 823, 923, -155, -927, 952, 163, 396, -236, 243],
 [434, -799, 73, 819, 1303, -346, -1389, 84, -235, 294, 39, -611],
 [-1332, 467, 899, 1189, 411, -145, 194, -599, 197, -335, 7, -157],
 [798, 426, -963, 315, 104, -448, -514, 1034, 1422, -175, -5, 1180],
 [-986, 1618, -187, -362, -654, 575, 1365, 734, 519, -454, 564, 780],
 [887, -454, -510, -292, -460, -224, 51, -151, -271, -16, -22, 268]]

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[User]
Determine the rank of the following matrix:
[[82, 337, -105, 702, -676, 702, 312, 914, 479, 267, 108, -332],
 [-465, -248, -50, 101, 229, 44, 114, -408, -314, 131, -135, -337],
 [-319, 267, 513, -437, 409, 1310, -1330, 382, 227, 154, -1057, 1551],
 [661, 126, -80, 370, -543, -804, 401, 33, 536, -14, 528, -374],
 [201, -216, -106, -98, -131, -525, 635, 58, -751, 82, 506, -1051],
 [21, -145, 418, 861, -904, -37, -73, -47, 575, 774, -32, -693],
 [723, 506, 154, 132, -1324, -84, -28, 741, 1540, -391, 969, 575],
 [-482, -498, -223, 309, -510, 555, -129, 118, 161, -358, -216, -90],
 [345, 212, -304, 980, -606, 658, -498, 695, 1409, -275, -770, 895],
 [-45, 540, 767, 130, -674, 231, -178, 82, 878, 754, 605, 110],
 [258, 740, 231, 1236, -561, 370, 433, 618, 811, 1156, 47, -635],
 [-888, 286, 1321, 35, -811, 336, -96, -593, 529, 1439, 1004, -622]]

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[User]
What is the rank of the matrix:
[[345, 826, -453, 379, 764, 686, 248, -75, 218, 211, 215, 882],
 [-303, -329, -101, -927, -441, -1137, 92, 140, -1059, 489, 573, -428],
 [-671, -1090, 409, -485, -301, -747, -473, 593, -897, 70, 81, -766],
 [-291, -204, -203, 153, 712, 523, -431, 331, -349, -189, -346, 332],
 [259, -211, 1047, 1039, -130, 437, -390, 500, 485, -222, -814, -172],
 [-634, -1075, 115, -637, -669, -563, -292, -133, -81, -476, -114, -981],
 [-682, -828, -110, -678, -92, -555, -209, 238, -623, 48, 481, -536],
 [277, 76, 463, 1, -463, -524, -138, 195, -578, 164, -620, -140],
 [303, 227, 324, 750, 122, 649, -4, -12, 801, -220, -312, 177],
 [459, 319, 751, 1121, 199, 621, -2, 406, 699, 127, -147, 254],
 [0, 761, -1148, -694, 647, -106, 587, -317, -468, 608, 1185, 746],
 [59, -607, 1070, 806, -329, 296, -771, 474, 122, -605, -1564, -427]]?

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[User]
Find the rank of the matrix:
[[-214, 574, -38, 352, -572, 1413, 551, 1259, 477, -229, 984, -708],
 [232, -27, 326, 675, -290, 268, 76, 244, -277, -646, 208, -403],
 [40, 442, -246, -596, 540, -809, -527, -519, -23, 657, -310, 908],
 [447, 411, 86, 345, -582, -383, -171, -497, -435, -183, -87, -235],
 [-282, 408, -20, -48, 538, 648, -2, 978, 400, 60, 582, 388],
 [305, 335, 178, 305, 86, -339, -335, -137, -341, -219, -5, 257],
 [315, 727, 228, 541, -27, 110, -269, 373, -255, -374, 415, 149],
 [480, 185, 442, 761, 19, -308, -351, -79, -596, -688, 20, 83],
 [-379, 261, -334, -627, 403, 225, 22, 348, 510, 619, 179, 425],
 [323, 1460, 44, 416, -192, 309, -319, 619, -88, -93, 757, 246],
 [-182, 472, -150, 118, -638, 1043, 491, 799, 419, -3, 692, -658],
 [373, 69, 276, 207, 631, -942, -671, -513, -553, -202, -383, 783]]

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[User]
Compute the rank of the given 12x12 matrix:
[[724, 529, 519, -13, -1103, -362, 314, 44, -141, -189, 637, 385],
 [181, 109, -1710, -523, -455, 1048, -392, -208, 868, 1382, -1093, -111],
 [744, -879, 855, -1306, -309, 272, 188, 142, 1058, 36, 321, -12],
 [368, -148, -301, -1019, 13, -628, 48, 62, -1205, -400, 2050, 564],
 [-504, 1547, 601, 812, 148, -615, -57, -592, -1705, -679, 537, 627],
 [-180, -897, -628, 120, -141, -23, 257, 16, 277, 758, -186, -542],
 [-703, 81, 153, -337, 654, -710, 3, -187, -705, -1074, 291, 471],
 [760, -118, 436, -274, -963, -285, 1671, 456, 557, -165, 638, -363],
 [-49, 106, -372, -156, 669, 659, -1260, -146, -171, 391, -161, 204],
 [650, 1472, 1692, 209, -97, -42, 324, 373, 13, -1514, 297, 544],
 [353, 1130, -322, -859, -424, 1125, 44, -835, 134, 1185, -370, 224],
 [-21, -817, -896, 576, 50, -115, 671, 390, -278, 774, 607, -849]]

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[User]
Find the rank of the matrix:
[[128, 380, -504, -364, -268, 148, 204, 232, -348, -284, 84, 56],
 [138, 327, -108, -87, 57, -21, -153, -192, 99, 33, -225, -240],
 [-193, -501, 381, 283, 103, -66, 17, 35, 112, 133, 148, 177],
 [-267, -589, -21, 7, -293, 136, 493, 605, -442, -243, 602, 623],
 [203, 350, 531, 356, 632, -317, -816, -983, 897, 586, -831, -829],
 [231, 476, 195, 118, 394, -191, -578, -703, 575, 348, -649, -661],
 [-110, -152, -486, -332, -500, 254, 612, 734, -702, -472, 594, 586],
 [10, -53, 396, 277, 325, -169, -357, -424, 447, 317, -309, -296],
 [-312, -767, 390, 299, -13, -13, 221, 286, -65, 39, 403, 442],
 [156, 310, 192, 122, 314, -154, -442, -536, 454, 282, -482, -488],
 [186, 494, -426, -314, -146, 88, 34, 26, -172, -174, -100, -130],
 [235, 592, -369, -278, -50, 41, -102, -139, -33, -88, -249, -281]]

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[User]
Compute the rank of the given 12x12 matrix:
[[1131, -1077, -632, 750, 154, 336, -927, -78, 477, 12, 320, -549],
 [-1121, 1185, -437, 323, -1397, -321, -31, 429, -982, -383, -569, 158],
 [745, -344, 793, 632, -78, -431, 1242, -177, 603, -534, 29, 396],
 [40, -530, 494, 199, 1191, -296, 1634, -1093, 527, -760, 1153, -1004],
 [261, -659, -395, 40, 1633, 347, -638, 10, -73, 1095, -132, -394],
 [666, -888, -1080, -449, 545, 682, -1496, 179, -1007, 223, -1021, -34],
 [1199, -54, 784, -438, 575, -85, -117, 152, 524, 662, -23, -117],
 [-827, 185, -784, 94, -64, 725, 112, 426, 176, -263, 906, 67],
 [-1282, -167, -442, -243, 754, 184, -336, -428, -216, 543, 441, -39],
 [-1789, 1147, 1068, -552, 1160, -539, 575, 451, 521, 1665, 301, 334],
 [992, 75, 422, -284, 1343, 662, 1471, -58, 716, 29, 1207, -216],
 [178, 175, -414, 982, 45, -594, -262, 425, -420, -195, -438, -1423]]

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[User]
Find the rank of the matrix:
[[-169, 247, -156, -312, -156, 312, -39, 325, 247, -247, -286, 312],
 [312, -456, 288, 576, 288, -576, 72, -600, -456, 456, 528, -576],
 [-91, 133, -84, -168, -84, 168, -21, 175, 133, -133, -154, 168],
 [104, -152, 96, 192, 96, -192, 24, -200, -152, 152, 176, -192],
 [-13, 19, -12, -24, -12, 24, -3, 25, 19, -19, -22, 24],
 [52, -76, 48, 96, 48, -96, 12, -100, -76, 76, 88, -96],
 [-169, 247, -156, -312, -156, 312, -39, 325, 247, -247, -286, 312],
 [-286, 418, -264, -528, -264, 528, -66, 550, 418, -418, -484, 528],
 [-234, 342, -216, -432, -216, 432, -54, 450, 342, -342, -396, 432],
 [260, -380, 240, 480, 240, -480, 60, -500, -380, 380, 440, -480],
 [-182, 266, -168, -336, -168, 336, -42, 350, 266, -266, -308, 336],
 [195, -285, 180, 360, 180, -360, 45, -375, -285, 285, 330, -360]]

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[User]
Determine the rank of the following matrix:
[[292, 809, 463, 540, -226, -422, 295, 256, -280, 443, 391, 179],
 [-111, 638, 355, 161, -212, -455, 41, -259, 660, -314, -47, -269],
 [-378, 314, 128, -78, -368, -398, -376, -662, 612, -634, -292, -72],
 [149, 897, 557, 444, -146, -514, 338, 106, 424, 70, 231, -232],
 [-472, -656, -158, -392, 165, 151, -396, -472, 811, -843, -448, -317],
 [-90, 98, 705, 679, -107, -434, -184, -15, 27, -216, 279, 359],
 [275, 524, 801, 695, 275, -348, 565, 555, 505, 143, 445, -348],
 [-196, -385, 217, 248, -68, -88, -391, -164, -194, -261, 45, 427],
 [-27, -699, -122, -71, 321, 348, -66, 185, -135, -38, -2, 53],
 [261, -371, -308, -7, 64, 361, 26, 361, -1062, 625, 206, 494],
 [152, -540, -134, 110, 130, 308, -76, 314, -866, 396, 206, 498],
 [-682, 577, -419, -668, -921, -491, -831, -1444, 607, -918, -769, 28]]

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[User]
What is the rank of the matrix:
[[-582, 906, -634, -884, -659, 481, 458, -799, -427, 52, -240, 521],
 [110, -468, 413, 104, 512, 107, 254, 646, -191, 246, -460, 47],
 [126, 666, -44, -393, -29, 146, 156, -745, 521, 344, -18, -28],
 [-1236, 1490, -595, -437, -1404, 712, -1738, 1304, -192, 370, 970, 534],
 [422, -123, 402, -349, 761, 403, 357, -971, -224, 109, -1911, 891],
 [110, -318, -447, 92, -564, -551, 23, -396, -759, -1111, 332, -149],
 [-816, 1138, -535, -930, -1142, 831, -1427, 820, -938, -35, -334, 1141],
 [-220, 648, -250, -750, -458, 528, -548, -227, -719, -177, -928, 963],
 [32, 830, -310, 85, -1038, -807, 28, -44, -102, -660, 1908, -1191],
 [-614, 1299, -689, -735, -1758, 159, -1538, 610, -1550, -1022, 351, 661],
 [-606, -36, -427, -71, -758, 94, -660, 1289, -686, -265, 686, 89],
 [-546, 33, -421, -197, 250, 417, 1087, -603, 1033, 1002, 379, -154]]?

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[User]
Determine the rank of the following matrix:
[[-1231, -1434, 678, 466, -1425, -1144, 685, -225, 275, 466, -701, -254],
 [-904, -206, 277, 281, 68, -54, -287, -342, -480, 1159, -800, -199],
 [42, 59, 1077, -254, 727, -768, 322, 992, -968, 324, 81, -1199],
 [-267, 139, 407, -227, -335, -234, -343, 1002, -587, -528, 233, -1415],
 [34, 1080, 163, -1542, 845, -359, -1918, 959, -1517, 111, 900, -1610],
 [550, 187, 827, -372, 958, -699, 650, 755, -567, 114, 411, -638],
 [-294, 767, -988, 365, 98, 953, -1619, 117, -957, -42, -853, -275],
 [1029, -644, 733, 914, 185, 399, 443, 475, -591, -128, -874, 313],
 [503, -335, 242, 402, 234, 679, 1234, -815, 1296, 197, 247, 1335],
 [-1398, -220, 561, -945, -143, -873, -936, -255, -204, 1095, 372, -649],
 [-38, -383, 791, 589, 281, -569, 843, 554, -758, 446, -780, -605],
 [502, 602, 112, -1353, 424, -253, -651, 278, -268, -131, 1263, -616]]

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[User]
Find the rank of the matrix:
[[286, 346, -1118, 597, -23, 503, -253, -243, -521, 839, -226, 5],
 [-556, -112, -348, -60, 97, 269, 68, 248, -86, 340, -667, -38],
 [-262, 464, -636, 411, 777, 40, 63, 54, 159, 369, -344, 511],
 [-56, -209, -501, 789, -1165, -1095, -1190, 280, 661, 418, 573, 24],
 [-324, -114, 488, 351, -654, -1381, -503, -396, 1367, -185, 435, -477],
 [552, -172, 271, 367, -1307, -1013, -715, -240, 308, -84, 984, -336],
 [322, -162, 1049, -410, -98, -580, 86, 185, 157, -887, 836, 267],
 [-825, -629, 710, -694, 609, 215, -367, -110, -141, -493, 596, -303],
 [-22, 224, 61, -366, 735, 457, 523, 173, -880, -99, -82, 517],
 [-63, -253, -673, 415, 66, 216, -938, 472, 197, 233, 376, 331],
 [-279, -503, 1041, -952, 311, 144, 339, 654, -328, -880, 234, 324],
 [469, 654, -864, 652, -642, -641, 285, 907, -455, 611, -527, 1145]]

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[User]
What is the rank of the matrix:
[[-487, 372, 15, 664, 117, -3, 16, -88, -239, 25, 367, 46],
 [-384, 6, 878, -446, -595, 368, 564, -109, 826, 942, -440, 594],
 [398, 148, -786, 502, 350, -256, -248, 118, -712, -804, 330, -488],
 [-433, 314, -65, 639, 203, -52, -92, -77, -304, -70, 397, -20],
 [210, -460, 122, -665, 69, -39, -264, 18, 255, 73, -238, 0],
 [561, -324, 95, -761, -346, 104, 240, 104, 406, 120, -533, 54],
 [1010, 48, -634, -136, -298, -22, 400, 244, -214, -566, -322, -332],
 [-607, -220, 631, -297, 74, 80, -224, -164, 422, 584, -5, 334],
 [321, 468, -697, 775, 50, -112, 192, 116, -650, -648, 283, -354],
 [-489, 472, 125, 667, -86, 94, 264, -86, -112, 170, 261, 150],
 [-610, 596, 414, 628, -392, 262, 616, -114, 162, 506, 98, 376],
 [-754, 466, 340, 669, -66, 129, 220, -151, 1, 375, 302, 274]]?

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[User]
What is the rank of the matrix:
[[-460, 520, 180, -260, -320, 240, -420, -440, 200, -340, 340, 140],
 [207, -234, -81, 117, 144, -108, 189, 198, -90, 153, -153, -63],
 [46, -52, -18, 26, 32, -24, 42, 44, -20, 34, -34, -14],
 [230, -260, -90, 130, 160, -120, 210, 220, -100, 170, -170, -70],
 [506, -572, -198, 286, 352, -264, 462, 484, -220, 374, -374, -154],
 [207, -234, -81, 117, 144, -108, 189, 198, -90, 153, -153, -63],
 [-92, 104, 36, -52, -64, 48, -84, -88, 40, -68, 68, 28],
 [414, -468, -162, 234, 288, -216, 378, 396, -180, 306, -306, -126],
 [-253, 286, 99, -143, -176, 132, -231, -242, 110, -187, 187, 77],
 [483, -546, -189, 273, 336, -252, 441, 462, -210, 357, -357, -147],
 [92, -104, -36, 52, 64, -48, 84, 88, -40, 68, -68, -28],
 [161, -182, -63, 91, 112, -84, 147, 154, -70, 119, -119, -49]]?

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[User]
What is the rank of the matrix:
[[-764, 263, -681, 57, 397, -524, 803, -98, 101, 334, 417, 413],
 [1409, -803, -510, 165, -193, 601, 52, -1000, -42, -303, -187, -414],
 [157, -155, 88, -297, 189, 77, -362, -54, -48, 265, -423, -122],
 [232, -273, -390, 561, -1249, 1098, -296, 78, 659, -171, -139, -1144],
 [-605, 237, -718, -388, 1206, -1139, 1048, -421, -329, 444, 443, 1035],
 [-664, 391, -32, -914, -398, -30, -722, 951, 166, 264, -361, -541],
 [57, 308, 912, 184, 457, -608, 216, 124, -530, -530, 492, 913],
 [1116, -159, 615, -463, 352, -381, -161, -264, -754, -768, 157, 530],
 [-183, 302, 172, 288, 866, -979, 1016, -322, -511, -328, 844, 1272],
 [-789, 260, 15, 1075, -212, 116, 597, 91, 407, 84, 466, 155],
 [-655, 513, 860, -168, -287, -66, -626, 983, 18, -56, -91, -52],
 [-552, 364, 1713, -134, 411, -107, -1121, 866, -207, 381, -690, 282]]?

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[User]
What is the rank of the matrix:
[[-15, 346, -389, -795, -315, -70, 712, -1038, 63, -101, -586, 485],
 [-259, 125, 578, 219, -686, -543, 56, -310, -115, 308, -210, -683],
 [765, 281, -599, -432, 502, 875, 664, -4, 81, -905, -270, 286],
 [258, 118, 285, 176, -49, 377, -5, 458, -246, 24, 145, 144],
 [253, -197, 243, 727, 297, 540, -567, 526, -815, -152, 865, -245],
 [252, -40, -103, 80, 330, 410, -82, 431, -48, -176, 200, 221],
 [666, 116, -316, 17, 494, 1006, 148, 211, -546, -633, 366, 356],
 [-1, -39, -750, -530, 362, -259, 430, -551, 779, -547, -582, -241],
 [-423, 25, 433, -10, -514, -493, -132, -14, 69, 689, -110, 186],
 [-156, -131, -492, -419, 336, -404, 185, 53, 1074, -138, -563, -14],
 [321, 11, -543, -151, 399, -46, 475, -308, 621, -942, -517, -961],
 [124, 623, 1143, 76, -1216, -206, 595, 121, -110, 449, -653, -417]]?

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[User]
What is the rank of the matrix:
[[-251, -88, -968, 134, -619, -330, 107, 314, -618, 771, 86, -42],
 [670, 695, -54, -510, -262, -255, -690, -839, -118, 723, 623, -277],
 [-636, -1124, -260, -28, 320, -457, 106, 342, -812, 490, -104, 378],
 [-82, -281, 359, -92, 37, -11, -121, -468, 110, 567, 605, -87],
 [914, -218, 1030, -804, 1124, -278, -578, -351, -707, -679, 207, -1114],
 [85, 216, -214, 455, -664, 281, 295, -442, 714, 198, 486, -128],
 [193, -659, 1863, 23, 870, 685, 529, 210, 322, -575, 650, -1213],
 [-175, -495, 137, -314, 628, -950, -462, 1331, -1717, 187, -786, 781],
 [-684, 1368, -2077, 916, -2287, 97, 132, -221, 1036, 1458, 51, 1441],
 [981, 624, -147, -641, -305, -775, -890, -555, -766, 490, 611, -586],
 [293, -490, 811, -548, 756, 735, 799, -74, 445, -1332, 180, -1585],
 [1137, -25, 857, -23, 828, 240, -343, -1178, 324, -679, 378, -823]]?

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[User]
Determine the rank of the following matrix:
[[207, 244, 87, -372, 521, 340, -153, 205, -329, 244, 215, -418],
 [212, 314, 43, 5, -44, 351, 90, -15, 4, 8, 77, -229],
 [-51, -144, 20, 83, -147, -147, 43, -130, 59, -152, -160, 227],
 [644, 229, 509, -594, 539, 584, -34, -330, -635, -330, -374, -38],
 [-31, -454, 194, -9, -137, -363, 35, -410, -79, -476, -552, 663],
 [260, -199, 332, 189, -563, -39, 308, -755, 59, -830, -795, 771],
 [-439, 41, -428, -4, 346, -198, -273, 735, 118, 794, 761, -598],
 [4, 258, -135, 323, -408, 161, 182, 15, 320, 32, 147, -147],
 [484, 185, 356, 85, -419, 385, 324, -635, -21, -670, -579, 363],
 [486, 41, 432, -9, -329, 287, 282, -715, -127, -766, -719, 517],
 [-54, -375, 129, 120, -291, -330, 96, -390, 51, -450, -486, 612],
 [-4, 170, -82, -132, 274, 144, -112, 280, -82, 316, 312, -372]]

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[User]
Determine the rank of the following matrix:
[[421, 95, -438, -644, 216, -798, 323, 490, -705, -247, -564, -784],
 [991, 1219, 665, 188, -585, 482, 305, 553, -212, 150, 868, 564],
 [-1203, -462, -319, 134, 255, 12, -378, -805, 709, -231, -296, -280],
 [-152, 71, 666, 346, -158, 910, -307, -446, 649, -131, 602, 400],
 [191, -171, 820, -336, 218, 962, -355, -142, 541, -615, 390, -292],
 [-235, -386, -369, 114, 118, -196, -25, 294, 19, 516, -169, 372],
 [153, -539, -415, -364, 306, -558, 110, 318, -464, 59, -557, -348],
 [47, -136, -204, 114, -45, -284, 103, 13, -258, 201, -159, 116],
 [584, 228, -414, -358, 51, -606, 371, 1006, -645, 395, -228, -6],
 [-427, -550, -591, -38, 208, -660, 23, -292, -239, 14, -637, -332],
 [-787, -952, -559, -252, 563, -242, -286, 28, 342, 127, -577, -238],
 [-1056, -182, -781, 522, -26, -442, -75, -191, 344, 670, -246, 518]]

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[User]
Compute the rank of the given 12x12 matrix:
[[315, 462, -273, 420, -399, -63, -189, 168, -42, -210, 105, -63],
 [-225, -330, 195, -300, 285, 45, 135, -120, 30, 150, -75, 45],
 [-60, -88, 52, -80, 76, 12, 36, -32, 8, 40, -20, 12],
 [105, 154, -91, 140, -133, -21, -63, 56, -14, -70, 35, -21],
 [165, 242, -143, 220, -209, -33, -99, 88, -22, -110, 55, -33],
 [-60, -88, 52, -80, 76, 12, 36, -32, 8, 40, -20, 12],
 [390, 572, -338, 520, -494, -78, -234, 208, -52, -260, 130, -78],
 [-30, -44, 26, -40, 38, 6, 18, -16, 4, 20, -10, 6],
 [-345, -506, 299, -460, 437, 69, 207, -184, 46, 230, -115, 69],
 [45, 66, -39, 60, -57, -9, -27, 24, -6, -30, 15, -9],
 [45, 66, -39, 60, -57, -9, -27, 24, -6, -30, 15, -9],
 [-210, -308, 182, -280, 266, 42, 126, -112, 28, 140, -70, 42]]

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[User]
Find the rank of the matrix:
[[111, 1534, 581, 21, -471, 389, -75, 533, -175, 109, 1832, -475],
 [904, -152, 596, 469, -633, -221, -755, -270, 93, -754, 52, -295],
 [38, -474, 382, -189, -422, 131, 570, 886, -589, 820, -549, -138],
 [-22, -983, -103, -740, -341, -300, -294, 903, -399, 1478, -675, 200],
 [256, 602, -3, -633, 1347, 1965, 604, 87, 244, 658, -1784, -1453],
 [-711, -195, -540, 1057, 249, 492, -422, 65, -517, 497, 96, -784],
 [894, -134, -679, -112, 74, -1070, -327, -23, -601, 463, -325, -91],
 [-341, -214, -366, -609, 268, -33, 1673, 750, -755, 747, -1048, 128],
 [-1483, -187, -1113, -102, 197, 819, 773, -440, 7, -1230, -466, 845],
 [-194, -59, -331, 281, 0, 437, -515, -188, -36, -175, 4, -131],
 [-926, 505, 151, 1239, 51, 1084, 20, -1070, 650, -2081, 750, 27],
 [-1001, 1217, -1240, -821, 1807, 1186, 1098, -310, 276, 500, -320, -94]]

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[User]
Find the rank of the matrix:
[[-102, 268, -36, -39, 496, -322, 364, -216, -35, -468, -198, -444],
 [-979, -468, -135, -20, -563, 406, -955, -240, 787, 831, 365, 1087],
 [-229, 1422, 554, -6, -1304, -651, 889, 431, 201, -813, 29, 353],
 [68, -552, 216, -190, -949, 696, -923, 171, 376, 1384, 344, 1164],
 [1679, 577, 442, -88, 0, 213, 150, 571, -1152, -171, -591, -160],
 [29, -641, 678, 83, -957, 1067, -1171, 318, -925, -491, -541, 162],
 [-302, 276, -529, 616, -272, -294, 325, 428, -55, -709, 380, -8],
 [282, -425, -53, -172, 1229, 372, -611, -491, -522, -57, -664, -437],
 [463, 329, -545, 158, 378, -416, 515, 187, 238, 453, 419, 134],
 [598, 17, 1117, -533, -194, -50, 742, -32, -685, -767, -648, -1277],
 [903, 424, 1567, -614, -917, 424, 35, 232, -1047, -673, -1033, -427],
 [-517, 16, -1315, 519, 1040, -831, 764, -145, 773, 98, 847, -253]]

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[User]
Compute the rank of the given 12x12 matrix:
[[306, -85, 357, -374, -221, 102, 340, 340, -340, -204, 0, 323],
 [270, -75, 315, -330, -195, 90, 300, 300, -300, -180, 0, 285],
 [162, -45, 189, -198, -117, 54, 180, 180, -180, -108, 0, 171],
 [108, -30, 126, -132, -78, 36, 120, 120, -120, -72, 0, 114],
 [108, -30, 126, -132, -78, 36, 120, 120, -120, -72, 0, 114],
 [468, -130, 546, -572, -338, 156, 520, 520, -520, -312, 0, 494],
 [432, -120, 504, -528, -312, 144, 480, 480, -480, -288, 0, 456],
 [396, -110, 462, -484, -286, 132, 440, 440, -440, -264, 0, 418],
 [36, -10, 42, -44, -26, 12, 40, 40, -40, -24, 0, 38],
 [-396, 110, -462, 484, 286, -132, -440, -440, 440, 264, 0, -418],
 [342, -95, 399, -418, -247, 114, 380, 380, -380, -228, 0, 361],
 [180, -50, 210, -220, -130, 60, 200, 200, -200, -120, 0, 190]]

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[User]
Compute the rank of the given 12x12 matrix:
[[436, -471, -113, 1506, -316, 26, 1053, 692, 452, 305, 1203, 189],
 [1608, 1362, -54, 745, -1659, -1328, -570, 422, 935, -507, -205, -838],
 [-49, 908, -122, -587, -339, 945, 1065, 901, -155, -1962, -288, -485],
 [-32, 586, 989, -617, 415, 261, -195, -1340, -58, 166, -1032, -1202],
 [694, -422, 718, 199, 178, -1134, -1145, 906, 1827, 360, 771, -88],
 [-457, -1451, 1776, -2215, 1878, -85, -2077, -446, 490, 703, -117, 240],
 [-103, -991, 595, -952, 657, -697, -1263, -665, 6, 1466, -45, 462],
 [-815, -1239, 31, -805, 1134, -646, -1051, 713, 999, 881, 603, 959],
 [134, 314, 225, 505, -493, -781, -606, -849, 424, 612, -206, -365],
 [165, 20, 1186, 167, 234, 928, 971, -480, 7, -386, 132, -919],
 [-946, 421, -391, 631, 21, 1437, 1366, -133, -655, -1312, -33, -139],
 [985, -1209, 1219, 662, -119, -13, 2, -978, -616, 1383, 824, 123]]

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[User]
Determine the rank of the following matrix:
[[1459, -619, -405, 728, -676, -876, 1047, -589, -780, 342, 127, -166],
 [-1073, -417, 1584, 414, 833, 42, 234, -809, 878, -1534, -62, 39],
 [259, -1310, -563, 1087, 1028, -734, -325, 522, -1196, 64, 1377, -239],
 [136, 1320, 941, -1940, -461, 549, 121, -413, 423, 100, -548, 333],
 [143, 28, -1006, 181, -752, -250, 402, 588, -551, 374, 176, -13],
 [47, -32, 574, 438, -326, -479, -160, -799, 1027, -59, 341, -247],
 [556, 462, 213, -777, 801, 881, 926, 788, -398, -89, 375, -255],
 [10, 690, 272, -419, -1021, 680, 1011, -386, 1043, -318, -1261, -312],
 [752, -481, -1318, 257, 333, 360, 69, 1061, -1054, 677, -49, -511],
 [1166, 278, -787, -914, 389, 1429, 476, 942, -606, 758, -640, -640],
 [-828, -61, -369, 443, 316, -91, -1166, 128, -140, 243, 258, 883],
 [933, 738, 644, -282, -151, 1323, 944, -1124, 772, 190, -1052, 684]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-240, 180, -108, 180, 108, -264, -288, -252, -192, -84, -252, -72],
 [-160, 120, -72, 120, 72, -176, -192, -168, -128, -56, -168, -48],
 [480, -360, 216, -360, -216, 528, 576, 504, 384, 168, 504, 144],
 [300, -225, 135, -225, -135, 330, 360, 315, 240, 105, 315, 90],
 [-440, 330, -198, 330, 198, -484, -528, -462, -352, -154, -462, -132],
 [-160, 120, -72, 120, 72, -176, -192, -168, -128, -56, -168, -48],
 [320, -240, 144, -240, -144, 352, 384, 336, 256, 112, 336, 96],
 [240, -180, 108, -180, -108, 264, 288, 252, 192, 84, 252, 72],
 [-440, 330, -198, 330, 198, -484, -528, -462, -352, -154, -462, -132],
 [500, -375, 225, -375, -225, 550, 600, 525, 400, 175, 525, 150],
 [-300, 225, -135, 225, 135, -330, -360, -315, -240, -105, -315, -90],
 [-160, 120, -72, 120, 72, -176, -192, -168, -128, -56, -168, -48]]

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[User]
Determine the rank of the following matrix:
[[575, 405, 498, 566, -174, 338, 385, 160, 515, -471, 454, -730],
 [-230, -396, -30, -212, -204, 106, -172, 278, 28, -24, -448, 310],
 [-410, -152, -454, -412, 284, -382, -264, -314, -504, 460, -168, 510],
 [-90, -73, -71, -88, 16, -43, -61, -11, -71, 65, -82, 115],
 [130, -39, 207, 136, -192, 211, 77, 227, 247, -225, -46, -155],
 [-490, -383, -397, -480, 104, -249, -331, -81, -401, 367, -430, 625],
 [180, 146, 142, 176, -32, 86, 122, 22, 142, -130, 164, -230],
 [-275, -75, -324, -278, 222, -284, -175, -250, -365, 333, -82, 340],
 [240, 433, 17, 220, 236, -131, 181, -319, -49, 43, 490, -325],
 [550, 345, 507, 544, -216, 367, 365, 215, 535, -489, 386, -695],
 [-530, -661, -251, -504, -176, -15, -377, 273, -187, 173, -746, 695],
 [-310, -107, -349, -312, 224, -297, -199, -249, -389, 355, -118, 385]]

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[User]
Compute the rank of the given 12x12 matrix:
[[55, -90, 320, 355, -75, 530, 40, 70, -395, 365, -15, -130],
 [-101, 163, -474, -511, 40, -696, -128, -299, 389, -443, -77, 41],
 [107, -173, 518, 561, -56, 776, 128, 293, -459, 501, 67, -71],
 [38, -63, 262, 296, -87, 466, 8, -13, -394, 334, -48, -161],
 [-9, 11, 134, 173, -148, 368, -96, -291, -487, 313, -169, -303],
 [-125, 199, -450, -463, -68, -528, -224, -575, 77, -275, -221, -187],
 [17, -29, 158, 183, -74, 308, -16, -67, -297, 231, -59, -143],
 [-6, 12, -144, -174, 102, -324, 48, 156, 366, -258, 102, 204],
 [-153, 241, -422, -407, -194, -332, -336, -897, -287, -79, -389, -453],
 [116, -186, 484, 512, 6, 652, 176, 434, -268, 388, 144, 58],
 [-100, 160, -400, -420, -20, -520, -160, -400, 180, -300, -140, -80],
 [102, -164, 448, 478, -14, 628, 144, 348, -302, 386, 106, 12]]

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[User]
Determine the rank of the following matrix:
[[288, 384, 156, -348, -84, -432, -336, -408, -480, -324, 216, -540],
 [-310, -461, -178, 634, -59, 652, 523, 584, 656, 456, -381, 771],
 [208, 260, 109, -157, -115, -244, -184, -242, -296, -195, 102, -321],
 [572, 702, 297, -361, -357, -620, -462, -626, -776, -507, 240, -831],
 [136, 112, 59, 213, -257, 68, 76, 18, -24, 3, -114, 21],
 [550, 677, 286, -358, -337, -604, -451, -608, -752, -492, 237, -807],
 [544, 604, 269, 3, -539, -340, -224, -402, -552, -339, 30, -537],
 [6, -31, -5, 205, -124, 144, 125, 110, 104, 81, -117, 144],
 [594, 779, 319, -647, -214, -840, -649, -802, -952, -639, 405, -1062],
 [106, 7, 29, 603, -452, 368, 331, 258, 216, 183, -339, 336],
 [-168, -224, -91, 203, 49, 252, 196, 238, 280, 189, -126, 315],
 [-492, -526, -239, -113, 551, 228, 134, 302, 440, 261, 36, 405]]

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[User]
Find the rank of the matrix:
[[792, 158, 553, -1015, -236, 340, 689, -969, 1308, 69, -226, -920],
 [449, 1839, -536, -1159, 66, -220, 479, -1436, 294, 860, -444, -960],
 [-862, -755, -584, 845, 213, 139, -1119, 1247, -293, -684, 530, 745],
 [-352, 488, 178, -119, 871, -781, 468, -23, -978, 822, -834, 215],
 [730, -813, -10, -196, -902, 1130, -688, 317, 1500, -617, 502, -859],
 [-393, 477, -242, 325, 824, -484, -97, 359, -748, 345, -753, 443],
 [129, -122, 534, -299, -26, -146, 243, 224, -870, 1023, -463, -781],
 [175, -802, 96, 284, -573, 771, -386, 215, 1095, -1115, 676, 44],
 [514, -679, 490, -256, -836, 850, -187, 144, 621, -157, 334, -1077],
 [-462, 177, 60, 706, 296, -206, 343, -280, -79, -965, 172, 1137],
 [-469, 92, -211, 4, 292, -510, 25, 68, -649, 319, 133, 396],
 [1619, 1275, 545, -933, -1281, 495, 1284, -2057, 818, 370, -77, -1376]]

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[User]
Determine the rank of the following matrix:
[[-1044, 653, -872, -975, 403, 1154, 719, -1084, 400, 16, -581, 312],
 [-132, -161, -363, 290, 1286, 909, 889, 240, -25, 51, -1416, 1283],
 [418, -240, -667, -573, -52, -282, -482, 804, 593, -200, 743, -322],
 [-143, 433, 857, 396, -257, -226, -521, -89, -623, 249, -149, -586],
 [516, -267, -252, -331, 715, 842, 2408, 1137, 94, 141, -556, 1396],
 [513, -647, -679, -386, -254, -777, 519, -507, 73, -452, 531, 551],
 [1058, -514, 48, 18, 81, 337, 1038, 1380, -1062, 1191, -431, 836],
 [-364, -1517, 214, 439, -249, -521, -1198, 427, 976, 672, 1403, 911],
 [241, 903, -46, -1147, -368, 664, 1438, 308, -874, 616, -394, 44],
 [-673, -472, -831, 526, 1830, -571, -346, 338, 743, 331, -1445, 936],
 [60, 55, -744, -340, -596, 659, -1767, -89, 59, 407, 492, -1015],
 [-675, 774, -810, -1785, -195, 1910, 548, -336, 535, -109, 142, 671]]

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[User]
Compute the rank of the given 12x12 matrix:
[[845, -195, 989, 1091, 1031, -1303, 1140, 278, -10, 466, 844, 1774],
 [1191, 205, 1345, -1082, 650, 658, 172, -1133, -83, 1043, -67, 894],
 [-362, 450, -1464, 981, -501, -67, -225, 34, 1096, -788, -268, 408],
 [165, 899, 250, -46, -100, -836, -1042, 656, -62, -393, -169, 399],
 [-60, 1121, -1921, -388, -746, 1831, -1177, 443, 985, -962, -417, -814],
 [-666, -1300, 891, 1607, 710, -1335, 699, 1453, -962, 300, 1219, 1812],
 [868, 492, 520, -35, -665, -836, -654, 303, 749, -251, -1221, 985],
 [757, 492, 495, -398, 1086, -389, -14, 150, -618, 444, 732, 255],
 [1411, 199, 32, -1471, -336, 260, 647, -872, 107, 279, -545, -1543],
 [-1267, -431, -1266, 1089, -1763, 504, 308, 357, 1411, -834, -875, -152],
 [-418, -163, -1484, 157, -861, 167, 864, -150, 1590, 444, -1121, 129],
 [184, 1541, -2266, -1986, -432, 1400, -1381, 281, 325, -232, -609, -2182]]

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[User]
Compute the rank of the given 12x12 matrix:
[[24, -252, 180, 216, 204, -252, 204, 216, 12, -96, 0, -48],
 [34, -357, 255, 306, 289, -357, 289, 306, 17, -136, 0, -68],
 [36, -378, 270, 324, 306, -378, 306, 324, 18, -144, 0, -72],
 [-34, 357, -255, -306, -289, 357, -289, -306, -17, 136, 0, 68],
 [-24, 252, -180, -216, -204, 252, -204, -216, -12, 96, 0, 48],
 [44, -462, 330, 396, 374, -462, 374, 396, 22, -176, 0, -88],
 [4, -42, 30, 36, 34, -42, 34, 36, 2, -16, 0, -8],
 [-30, 315, -225, -270, -255, 315, -255, -270, -15, 120, 0, 60],
 [2, -21, 15, 18, 17, -21, 17, 18, 1, -8, 0, -4],
 [38, -399, 285, 342, 323, -399, 323, 342, 19, -152, 0, -76],
 [10, -105, 75, 90, 85, -105, 85, 90, 5, -40, 0, -20],
 [-50, 525, -375, -450, -425, 525, -425, -450, -25, 200, 0, 100]]

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[User]
What is the rank of the matrix:
[[32, 168, -272, -40, -8, 264, -152, 448, 88, 264, 568, 24],
 [-43, -211, 359, 53, 22, -346, 197, -599, -107, -339, -755, -26],
 [26, -188, -78, -16, -254, 22, 36, 298, -176, -132, 280, -118],
 [-22, 740, -190, -16, 658, 326, -316, -134, 592, 732, 88, 346],
 [31, -678, 107, 4, -649, -243, 266, 263, -556, -642, 80, -333],
 [-77, -6, 479, 76, 323, -399, 170, -997, 92, -210, -1144, 111],
 [25, 264, -271, -38, 95, 285, -184, 377, 170, 348, 518, 75],
 [-31, 855, -185, -13, 784, 348, -353, -227, 691, 831, 19, 408],
 [13, -212, 13, -2, -217, -59, 76, 125, -178, -192, 74, -109],
 [34, 267, -328, -47, 59, 333, -205, 494, 161, 375, 653, 63],
 [25, 500, -375, -50, 275, 425, -300, 425, 350, 600, 650, 175],
 [-4, -257, 138, 17, -179, -173, 135, -104, -191, -285, -203, -103]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[535, 675, 721, 1233, -831, -98, -193, 1442, 73, 506, 265, -1027],
 [-617, 181, -635, -20, -879, -357, -916, 26, -645, 778, 480, -384],
 [-95, -1313, -1024, -807, -128, -256, 1735, -2282, 1110, -751, 854, -1164],
 [245, -471, -340, -905, -49, -872, -813, -700, -367, 754, 397, 814],
 [1647, -1172, 887, 16, -425, -1167, 2187, -423, 1890, -367, 1961, -819],
 [377, -89, 120, 134, 103, 415, -316, 212, -585, 44, -958, 353],
 [869, 497, 799, -315, -715, -1193, 844, -835, 1102, 1316, 1579, -80],
 [-252, 587, 191, 437, 183, 654, 1497, -323, 871, -179, 211, -540],
 [-565, 691, 1, -202, 257, 1126, -94, -274, -726, 745, -1485, 1270],
 [-1200, 423, -241, -792, -691, -567, -172, -861, -292, -17, 1074, 173],
 [-582, -177, -727, -807, -142, -660, -734, -931, -228, 185, 468, 3],
 [-372, 81, -550, 9, 477, 924, 456, 7, 269, -54, -306, 425]]

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[User]
Compute the rank of the given 12x12 matrix:
[[1182, -1008, 1405, -620, -869, -769, 85, 740, -199, 218, 126, -551],
 [352, -990, -258, 1021, -563, 426, -153, 975, 174, -271, -234, -384],
 [575, -173, 1005, -1226, -1236, -678, 1033, 1484, 171, -487, -398, -1230],
 [-294, 572, -59, -344, 583, -287, -240, -590, 899, 445, 106, 921],
 [822, -835, 761, 557, 415, 575, 481, 951, 836, -1672, -34, -17],
 [2339, 446, 2438, -1017, -1114, -180, -495, 2310, 124, -761, -164, -925],
 [-384, -287, 27, 395, -937, 413, -64, 349, -824, -374, -404, -1607],
 [737, -1372, 318, 571, -798, 686, -644, 1514, -498, 85, -266, -677],
 [-414, 820, -954, 174, -459, -296, 2386, 48, -410, -1913, -347, -1075],
 [1013, 549, 1152, -1523, -1048, -744, -1097, 772, -564, 1705, -172, -125],
 [-963, -485, -650, 1741, 1390, 985, -1689, -672, 926, 834, 432, 529],
 [-217, -956, 229, 151, -334, -283, -378, 237, -141, 949, 283, -745]]

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[User]
Calculate the rank of matrix A where A =
[[640, 137, 200, -140, -601, -329, 227, 79, 899, -154, 402, 668],
 [-498, -501, -35, -291, 530, 877, -711, 725, 1198, 816, 180, -523],
 [-600, -160, 470, -1284, -496, 654, 321, 489, 1050, 27, 232, -164],
 [931, -153, -331, 821, 178, -632, 159, -654, -498, 171, -26, 503],
 [793, 335, -114, 1058, 267, -364, -386, -35, -149, -16, 224, 574],
 [-666, -65, 132, -711, -184, 188, 540, -236, -685, -264, -325, -414],
 [1472, 833, -311, 1151, -434, -1357, 99, -357, -62, -1006, 125, 1237],
 [-342, -130, 512, -319, -43, 561, -17, 199, -12, 492, 305, -154],
 [1350, 393, -609, 1156, 69, -1148, 223, -671, -484, -695, -169, 963],
 [-562, 585, -96, -302, -31, 171, -296, 646, 451, -865, -196, -202],
 [1309, 104, 975, 636, -1002, -706, 420, -585, -395, 722, 1015, 1113],
 [225, 217, -32, -213, -68, 29, 325, 40, 283, -502, 2, 418]]

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[User]
Calculate the rank of matrix A where A =
[[1041, -382, -360, -321, -133, -80, 438, 72, -435, 1009, 525, -961],
 [558, -701, -148, -960, 663, -48, 31, 209, 102, 750, 533, -383],
 [-194, -10, 367, -184, -171, 103, -141, 353, 682, -340, -632, 590],
 [-162, 164, -5, 239, 638, 184, -468, -390, -545, 38, 814, -13],
 [1346, -181, -74, -82, -809, 100, 483, 361, -164, 986, 25, -793],
 [-128, -175, 234, -378, 573, 166, -417, 101, 264, -20, 201, 365],
 [73, -403, -114, -570, 1095, 61, -372, -172, -264, 427, 960, -169],
 [-143, 315, 469, 289, -285, 295, -344, 190, 359, -369, -410, 600],
 [185, -10, 122, -42, -768, -73, 367, 393, 522, -97, -847, 110],
 [-110, -555, 183, -945, 1351, 174, -645, 83, 273, 246, 723, 330],
 [540, 138, 385, 133, -628, 298, -56, 386, 305, 168, -386, 159],
 [-321, 369, 135, 478, -764, -58, 203, 97, 290, -557, -834, 327]]

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[User]
Calculate the rank of matrix A where A =
[[86, 293, 317, -152, 345, -8, 268, 269, 286, 236, -165, -144],
 [631, 842, 746, -108, 764, 123, 777, 594, 400, 318, -509, -72],
 [785, 445, 235, 445, 648, -160, 214, -343, 280, 94, -473, 587],
 [-61, 221, -529, 556, -81, 143, -151, -701, -156, -290, 98, 512],
 [-304, 237, -324, 112, -363, 413, 111, 6, -355, -308, 243, -40],
 [866, 924, 786, -26, 702, 234, 898, 674, 214, 180, -568, 10],
 [887, 979, 760, 44, 773, 214, 890, 574, 267, 194, -594, 88],
 [-108, 764, -64, 59, -221, 725, 605, 430, -404, -332, 113, -159],
 [532, -337, 89, 348, 659, -760, -460, -803, 596, 352, -385, 628],
 [-62, -76, 593, -726, -94, 113, 371, 1075, -19, 208, -10, -770],
 [603, -161, 172, 384, 861, -778, -366, -822, 747, 442, -478, 676],
 [-117, -943, -124, -253, -602, -235, -499, 76, -371, -146, 233, -195]]

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[User]
Determine the rank of the following matrix:
[[-555, -454, 768, 214, -515, -315, -664, -582, 125, 222, 533, -415],
 [431, -270, 279, -838, -204, 817, -755, 505, 1018, -392, 230, 842],
 [215, -236, 32, -613, 556, 529, -72, 68, 68, -109, -121, 543],
 [-21, 243, 1204, -440, -216, 656, -1013, -8, 190, 1048, 311, 324],
 [-268, 347, 595, -526, 1011, 428, -397, -365, -326, 201, -81, 149],
 [47, 1005, -836, 4, 1234, 479, 659, 214, -786, 90, -507, -286],
 [-8, -48, 903, 304, -580, -1791, 180, -447, 257, -751, -357, 420],
 [-368, -897, 1714, -210, 132, -377, -494, -1184, -693, 1209, 116, 280],
 [106, -1255, -558, -108, -67, 602, 483, 10, -445, 802, 154, 53],
 [-368, -139, -2466, 190, 935, 710, 1045, 482, -253, -1130, 60, -967],
 [166, 823, -79, -74, 410, -112, 725, 447, -574, 639, -613, 333],
 [-894, 205, 779, -494, 648, 969, -1114, -395, -96, 626, 633, -460]]

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[User]
Calculate the rank of matrix A where A =
[[699, -471, -354, 105, 585, -1139, -341, 212, 901, -147, 213, 325],
 [-377, 648, 620, 517, -1710, 309, 201, -44, -1489, -1268, 902, -1068],
 [28, -378, 556, 1441, 404, 1077, -194, 287, -466, 39, 7, -1226],
 [1262, 6, -664, -1819, -303, -170, -414, -959, 658, 2130, -685, -606],
 [-854, 75, 161, -24, -704, -259, 222, 111, -660, -320, -52, 461],
 [-543, -27, 820, -861, -1610, -57, 80, -1167, -832, -1124, 283, 534],
 [282, 873, 41, 411, -273, 44, -334, 283, -576, 526, 1005, -1070],
 [-298, 68, -132, -527, 38, -1280, -787, 396, 490, -226, -387, 1215],
 [-654, -846, -566, -57, -693, 605, -369, 591, -203, 790, -2297, 1158],
 [-768, -87, 625, -313, -379, 494, -553, -602, 429, 200, -763, 913],
 [-597, -533, 345, 729, 302, 289, 483, 264, -716, -818, 374, 30],
 [-1690, 46, 636, -515, 749, -16, 311, -139, 430, -551, -531, 1432]]

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[User]
Calculate the rank of matrix A where A =
[[-453, 53, 407, 749, 580, 1563, 350, 1167, -67, -676, 235, -531],
 [362, 296, 1333, -1052, -795, -1447, 292, -917, 915, -138, 403, 727],
 [-75, -446, 833, -516, -995, 877, -470, 1132, 1193, -1106, 187, -752],
 [212, -241, 49, -564, 593, 479, -638, 263, -382, -371, -451, -415],
 [834, 223, -43, -1095, -594, -197, -696, 849, 747, 36, 386, 243],
 [316, -454, 1401, -451, 32, -1153, 460, -798, -141, -742, -202, 274],
 [897, -153, 193, -58, 563, -627, 582, 87, -862, 71, -26, 251],
 [-552, 397, 491, -94, -985, 797, 134, 551, 1409, -616, 172, -989],
 [524, 556, -1096, -1343, -635, 776, -1258, 826, 834, 606, -46, -748],
 [908, -758, 1009, -889, -117, 335, -244, 1054, 26, -983, -12, -446],
 [645, -327, -661, -452, 183, 971, -780, 1087, -382, 455, 266, 69],
 [-494, 318, 237, -432, -1049, -1305, -318, -1008, 1243, -314, -244, 98]]

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[User]
Find the rank of the matrix:
[[46, 258, 186, -67, 156, 130, -273, -45, 216, 72, 203, 236],
 [278, 24, 510, 372, 552, 460, -538, 170, 40, -272, -220, 12],
 [322, 486, 774, 199, 756, 630, -955, 65, 424, -104, 177, 436],
 [-11, -198, -99, 85, -72, -60, 164, 50, -164, -80, -177, -182],
 [25, -240, -51, 156, -12, -10, 127, 85, -196, -136, -248, -222],
 [-70, -120, -174, -36, -168, -140, 218, -10, -104, 16, -52, -108],
 [-172, -276, -420, -98, -408, -340, 522, -30, -240, 48, -110, -248],
 [229, -588, 177, 614, 300, 250, -3, 315, -468, -504, -754, -550],
 [273, 534, 705, 107, 672, 560, -898, 20, 460, -32, 265, 482],
 [285, -30, 501, 409, 552, 460, -512, 190, -4, -304, -277, -38],
 [-26, 12, -42, -42, -48, -40, 40, -20, 8, 32, 34, 12],
 [-119, -72, -243, -128, -252, -210, 275, -55, -68, 88, 36, -62]]

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[User]
Compute the rank of the given 12x12 matrix:
[[319, 83, 31, 405, 82, 151, 29, -81, -255, -267, 240, -354],
 [-979, 192, -696, -374, 587, -82, -598, -186, 474, 288, 1031, 1341],
 [-991, 874, -116, 443, -456, 540, 447, -727, -668, 313, 337, 377],
 [152, -1259, 205, -633, -712, 227, 592, -520, 1562, -665, 766, 423],
 [368, -366, 157, 547, -126, 633, 699, -544, 316, -374, 913, -545],
 [260, -10, 138, 109, -1440, -49, -34, -679, -547, -683, -375, -191],
 [182, -157, 92, -123, -949, -657, -715, 607, -932, 266, -1119, -72],
 [-253, 174, -83, -598, 135, 604, -273, -869, 729, -441, 37, 621],
 [-891, 94, -680, -73, -226, -681, -339, -48, 14, -103, 1221, 1288],
 [-1326, 1462, -549, 252, 432, 181, 396, -915, -286, 14, 845, 868],
 [685, -552, 682, -602, -830, -193, 217, 296, 120, 63, -1799, -768],
 [-120, -222, -398, -409, 1580, 358, 48, -328, 1603, -257, 1353, 566]]

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[User]
Find the rank of the matrix:
[[690, 573, -1082, -73, 318, -734, -1406, -1261, -899, -446, -646, 279],
 [633, -574, -984, -25, 495, 794, -905, -329, -151, 850, 402, 638],
 [-406, 458, 1507, 180, 307, -515, 601, -248, 362, -680, 378, -761],
 [-991, 505, -182, 369, -366, -1765, 99, -1427, -645, -1723, -1409, 364],
 [111, -721, -2411, 971, -620, 1188, -1045, -1173, 13, -992, 336, 512],
 [753, 749, 128, -844, -49, -991, 503, 544, -691, -481, -1199, -606],
 [343, 144, -151, -1075, -158, -1558, -256, -1194, -893, -824, -934, 556],
 [192, 1532, 989, 1362, 1150, 446, -984, -54, -144, 398, 1018, -1496],
 [-306, -37, 1236, 154, 50, 897, 1095, 1396, 775, 844, 892, -646],
 [1430, 785, -799, -1051, -326, -263, -1184, -640, 943, -544, 366, -26],
 [-1159, 1302, -518, 174, -1899, -41, 441, 982, 1297, 252, -336, 248],
 [921, -221, -139, 167, 929, 540, -1085, 615, -758, 903, -41, -685]]

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[User]
Compute the rank of the given 12x12 matrix:
[[85, -95, -270, 215, 75, 155, 35, 155, 75, 145, 55, 150],
 [222, -98, 180, 238, -50, -118, 94, -118, 302, 50, 242, 296],
 [92, -154, -594, 343, 165, 346, 37, 346, 45, 269, 26, 195],
 [-307, 135, -252, -328, 70, 165, -130, 165, -418, -68, -335, -409],
 [40, 44, 396, -90, -110, -236, 18, -236, 98, -126, 84, 14],
 [99, 19, 450, -29, -125, -271, 43, -271, 179, -115, 149, 92],
 [-26, 70, 324, -154, -90, -190, -10, -190, 6, -134, 10, -72],
 [-100, 180, 720, -400, -200, -420, -40, -420, -40, -320, -20, -220],
 [-136, 94, 90, -219, -25, -46, -57, -46, -161, -105, -126, -203],
 [-17, 77, 396, -168, -110, -233, -6, -233, 26, -156, 27, -67],
 [-151, 121, 198, -279, -55, -109, -63, -109, -167, -153, -129, -236],
 [-46, -10, -216, 16, 60, 130, -20, 130, -84, 56, -70, -42]]

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[User]
Compute the rank of the given 12x12 matrix:
[[447, -847, 115, -1115, -251, -407, -986, 146, -141, 388, 390, -558],
 [31, 237, -78, 463, -142, 402, 225, -99, 126, -33, -138, 206],
 [501, 51, -444, 4, -833, 237, -391, 334, -65, -138, 229, -126],
 [79, 713, -561, 846, -366, 4, 386, 369, -384, -687, -277, 10],
 [-62, 134, 128, 662, 340, 124, 338, -274, -188, -46, -592, -12],
 [94, -508, 109, -839, 110, -638, -541, 178, -244, 112, 239, -436],
 [373, -681, 120, -805, -186, -246, -763, 55, -98, 345, 244, -430],
 [-631, 541, 4, 266, 531, -313, 705, 68, 15, -380, -31, 318],
 [-142, 787, -397, 997, -63, 62, 647, 190, -279, -634, -396, 166],
 [-200, -115, 134, -119, 618, -833, 36, 79, -576, -229, -344, -426],
 [951, 149, -644, 659, -1336, 856, -453, 231, -104, -119, -98, -138],
 [-113, 318, -298, -352, -562, 303, 43, 310, 564, -76, 806, 484]]

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[User]
Determine the rank of the following matrix:
[[43, 345, 198, -809, -353, -807, -519, 507, 333, -426, -472, -199],
 [-184, -63, 53, 184, -357, 388, 155, 389, -410, 54, 212, 1],
 [-757, 694, -508, 579, 529, 1353, 1193, 501, 613, -524, -309, -4],
 [-149, -839, -66, -459, -1545, -755, -551, 873, -1019, -86, 880, -985],
 [-131, 482, -272, -157, 521, -24, 253, -50, 799, -456, -450, -136],
 [643, 243, 75, -700, -290, -939, -618, -85, -269, -520, 347, -854],
 [-696, -270, -315, 647, 573, 753, 687, -137, 698, 406, -468, 721],
 [-38, -919, -56, -225, -356, -863, -522, -224, 10, 452, 104, -10],
 [792, 870, 49, 431, 1253, 623, 367, -1119, 90, -178, 98, 113],
 [75, -609, -48, -56, -307, -449, -301, -174, -267, 272, 332, -168],
 [872, -453, 678, -475, -492, -1063, -1130, -466, -824, 528, 332, 144],
 [-158, 519, -138, 297, 1232, 464, 502, -585, 1170, 28, -885, 752]]

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[User]
Find the rank of the matrix:
[[1025, -578, 531, 214, 759, -573, -268, 948, -862, 1205, -321, 874],
 [121, -823, 219, 190, 34, 1432, 564, 620, -157, -329, 191, -1648],
 [59, -1, 438, 6, 515, 169, -685, -94, -815, -85, -524, -208],
 [-95, 503, -492, -251, -609, -1057, 491, -162, 1087, 537, 593, 1335],
 [372, -237, 257, -25, 768, -794, -677, 84, -421, 178, -124, 615],
 [510, -415, 1001, -103, 1181, 646, -1395, 243, -1829, -197, -1083, -748],
 [-324, -485, 232, 1670, 778, 399, 184, -25, -1169, 129, -551, -785],
 [543, -19, -152, -1288, -923, 265, 597, 680, 1167, 317, 750, 244],
 [-80, 545, -43, -204, 250, -1486, -537, -479, 240, 416, 94, 1548],
 [526, -137, 172, -950, -342, -193, 394, 673, 841, 755, 759, 603],
 [-399, 493, 233, -57, -252, 504, -62, -319, -234, 73, -289, -243],
 [-843, 723, 403, 67, -367, 522, 312, -498, 86, 490, 70, -166]]

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[User]
Calculate the rank of matrix A where A =
[[94, 394, 350, 267, -301, 549, -236, 842, 484, 115, -647, -170],
 [138, 453, 418, 297, -338, 613, -219, 920, 501, 107, -733, -150],
 [276, 271, 410, 88, -449, 656, -139, 948, 261, -190, -568, 30],
 [-440, -583, -34, -722, -359, 126, 453, -359, 496, 383, 248, 463],
 [268, 1051, 359, 1065, 359, 42, -305, 410, 106, 274, -863, -530],
 [-2, -756, 52, -967, -499, 181, 666, -312, -154, -287, 459, 836],
 [390, 1152, 166, 1323, 691, -279, -512, 241, -299, 68, -677, -767],
 [588, 663, 745, 351, -311, 578, 293, 675, -55, -199, -867, 299],
 [512, 500, -34, 654, 644, -564, -24, -424, -978, -428, 54, -180],
 [-554, -439, -642, -125, 62, -109, -841, 271, 468, 154, 467, -687],
 [-230, -292, -199, -212, -443, 529, -766, 1055, 600, -118, 0, -435],
 [-250, 731, -110, 951, 664, -417, -439, -203, 320, 692, -397, -781]]

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[User]
Determine the rank of the following matrix:
[[675, -138, -276, -456, 300, 1397, 242, -40, -542, 592, 405, -5],
 [-199, 146, -58, -140, 244, 313, 370, 166, 286, -52, 253, 239],
 [565, -1030, -605, -832, 88, 293, -508, -412, -682, 465, -625, -957],
 [204, -864, -433, -1050, 422, 160, -124, -50, -222, 719, -258, -828],
 [664, -409, -103, -621, 38, 293, 58, 428, -296, 1047, 138, -498],
 [615, -535, -481, -171, -762, -383, -172, 475, -18, 0, -726, -494],
 [-3, -811, -618, -419, -554, -1033, -262, 329, 382, -349, -1094, -732],
 [891, -648, -368, -888, 22, 575, 100, 488, -384, 1144, 21, -657],
 [486, 55, -51, 7, 272, 1224, -108, -579, -786, 212, 337, 135],
 [348, -66, -199, 307, -529, -17, -217, -53, -201, -376, -395, -11],
 [992, -809, -280, -510, 281, 1069, -875, -1118, -1601, 792, -222, -832],
 [12, -207, 106, 26, -269, -801, -301, 114, 29, 138, -322, -356]]

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[User]
Compute the rank of the given 12x12 matrix:
[[478, -390, 295, 143, -108, 431, 898, -1148, 131, 449, -265, -649],
 [-338, 121, -446, -747, 768, 368, -272, 426, -13, 381, -336, 411],
 [403, 55, 1128, 543, -151, -276, -169, -82, -334, -635, 507, 247],
 [125, -1184, 713, 995, 278, 1169, 475, -1052, 339, 331, -202, -322],
 [-272, 581, -213, -880, -490, -2149, -691, 1725, -347, -1222, 40, 610],
 [611, -427, 241, 334, 480, 482, 391, -814, 560, 893, -720, 392],
 [886, -178, 740, 660, -1197, 87, -171, -476, 1424, 585, 591, 531],
 [90, 500, -237, 264, -303, 779, 808, -862, -385, -177, 330, -827],
 [11, -213, -139, 505, -31, -202, 867, 64, 36, -1297, -845, 426],
 [210, -1313, 395, 168, -239, -319, 52, -460, 733, 884, -391, -397],
 [693, 165, -74, -373, -416, -564, 54, -281, 718, 945, -224, 222],
 [-213, 481, -319, 437, -72, 983, -402, -3, 168, 232, 636, 144]]

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[User]
Compute the rank of the given 12x12 matrix:
[[118, -241, 1319, -4, 254, 265, -812, -341, 1362, -743, 295, -1474],
 [-962, -231, 29, 666, -322, -519, 110, -875, 280, 99, 89, -386],
 [-174, -113, -219, -588, 84, 361, -876, -31, -228, 240, -616, 58],
 [-7, 90, 351, 536, -70, -302, 495, -99, 358, -325, 527, -253],
 [-400, -5, -669, 373, -202, -356, 695, -167, -573, 462, 20, 644],
 [574, 778, -862, -260, -334, -208, 480, 1000, -1213, 2, -186, 1344],
 [12, -101, 27, -596, 440, 647, -928, 161, -77, 97, -337, 26],
 [-372, 116, -92, 431, -254, -391, 279, -222, -61, -58, 156, 72],
 [93, 239, 598, 488, 296, 23, 191, 166, 425, -579, 773, -207],
 [49, -335, 296, -538, 512, 681, -869, -46, 306, 94, -244, -377],
 [503, -258, 539, -662, -104, 236, -713, -55, 642, -196, -490, -907],
 [-1089, 42, -623, 945, -204, -587, 734, -547, -513, 375, 341, 641]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-691, 928, 401, 1104, -552, 515, -90, -252, -119, 875, 339, 344],
 [-1286, -63, 1015, 252, -782, 410, -100, 617, -90, 341, 360, 765],
 [937, 75, -251, 1070, -108, -336, -449, -323, 994, 940, -1128, -57],
 [-878, -60, 157, 1919, -718, -538, 597, 144, -602, 1791, -1155, 384],
 [-1013, 583, 994, 22, -522, -60, 787, -60, 318, -423, -165, 751],
 [1463, -15, -537, -44, 318, -9, 862, -716, 135, -133, -498, -569],
 [327, 380, 476, -975, -670, 549, -687, -1207, -439, -1863, 14, 1269],
 [-537, -375, 555, -506, -549, -130, -1161, 682, 235, -645, -618, 1330],
 [-562, 1184, 151, 498, 172, -2463, 209, 608, -192, 1601, -1488, -504],
 [684, 1446, 584, -1285, 694, -1292, -335, 830, -1444, -690, 272, 461],
 [-188, -1744, -673, -44, 98, 1854, -1149, -355, -801, -733, 1240, -6],
 [-399, -504, 1349, 1492, 7, 59, -458, 479, -236, 21, -119, 1447]]

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[User]
Compute the rank of the given 12x12 matrix:
[[400, 600, 575, -150, 350, -475, -125, 600, -550, -250, 250, -325],
 [-320, -480, -460, 120, -280, 380, 100, -480, 440, 200, -200, 260],
 [336, 504, 483, -126, 294, -399, -105, 504, -462, -210, 210, -273],
 [-352, -528, -506, 132, -308, 418, 110, -528, 484, 220, -220, 286],
 [112, 168, 161, -42, 98, -133, -35, 168, -154, -70, 70, -91],
 [96, 144, 138, -36, 84, -114, -30, 144, -132, -60, 60, -78],
 [288, 432, 414, -108, 252, -342, -90, 432, -396, -180, 180, -234],
 [-176, -264, -253, 66, -154, 209, 55, -264, 242, 110, -110, 143],
 [160, 240, 230, -60, 140, -190, -50, 240, -220, -100, 100, -130],
 [-384, -576, -552, 144, -336, 456, 120, -576, 528, 240, -240, 312],
 [320, 480, 460, -120, 280, -380, -100, 480, -440, -200, 200, -260],
 [336, 504, 483, -126, 294, -399, -105, 504, -462, -210, 210, -273]]

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[User]
Find the rank of the matrix:
[[-255, 163, 154, 11, -371, 347, -99, -240, 24, 416, 29, -138],
 [-72, -347, -696, -396, -718, 92, -332, 352, -530, 590, -52, 202],
 [29, -478, -463, -617, -923, -709, -565, 199, -20, 241, -406, 50],
 [215, 465, 930, 105, 860, 406, -691, -1040, -743, -183, 286, 866],
 [67, 15, 268, 63, 103, -415, 75, -92, 418, -355, -122, -201],
 [8, 13, -185, -86, 129, 253, -20, 65, -213, 121, 17, 217],
 [165, -23, 313, -53, 100, -384, -319, -281, -61, -266, -41, 170],
 [194, 150, 232, 234, 773, 1, 256, -48, 75, -493, 99, 124],
 [174, -209, -51, -804, -181, -841, -674, -221, 391, -217, -727, 373],
 [-40, 388, 404, -54, 574, 318, -20, -450, 276, -117, -155, 223],
 [288, 29, 28, -310, 552, 154, -608, -326, -770, -65, 19, 931],
 [-57, 75, -586, -497, 366, 500, 89, 234, 101, 230, -379, 431]]

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[User]
Calculate the rank of matrix A where A =
[[-374, 276, 178, 389, 52, -298, -570, 208, 490, 205, 324, 532],
 [-184, -60, -196, 52, 83, 352, -132, -208, 158, 38, 225, 35],
 [-663, 369, 154, 557, 112, -221, -856, 218, 794, 354, 561, 783],
 [75, 45, -36, 534, 138, -207, -690, -342, 216, -345, 519, 249],
 [86, 192, 434, -297, -215, -574, 462, 688, -200, 277, -605, 1],
 [-211, 219, 196, 250, 6, -329, -350, 230, 296, 145, 145, 367],
 [524, -294, -342, 363, 177, 164, -406, -860, -224, -781, 477, -265],
 [787, -39, 224, 258, -41, -767, -142, -166, -454, -687, -74, -186],
 [-57, 207, 246, 251, -16, -467, -312, 230, 182, 38, 79, 305],
 [-686, 258, -28, 518, 162, 86, -832, 4, 784, 308, 656, 680],
 [-200, 240, 368, -242, -169, -384, 320, 696, 42, 460, -447, 163],
 [-197, -237, -458, -75, 137, 817, 0, -490, 92, -10, 290, -166]]

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[User]
Find the rank of the matrix:
[[57, 163, 6, 75, 30, -143, -92, -118, 65, -15, 26, -61],
 [-134, -345, -6, -152, -86, 262, 197, 237, -114, 36, -33, 96],
 [-230, -63, 102, 76, -362, -578, 71, -153, 342, 72, 333, -492],
 [401, 552, -84, 149, 452, 149, -347, -201, -147, -117, -255, 309],
 [260, 558, -12, 224, 212, -292, -326, -342, 108, -72, -18, -48],
 [25, -54, -24, -47, 64, 181, 23, 81, -99, -9, -81, 129],
 [153, 192, -36, 45, 180, 93, -123, -57, -75, -45, -111, 141],
 [67, -294, -96, -221, 232, 775, 137, 375, -417, -27, -327, 531],
 [100, 406, 36, 208, 4, -484, -222, -334, 236, -24, 134, -256],
 [102, -183, -90, -168, 246, 666, 75, 291, -366, -36, -303, 480],
 [-276, -511, 30, -186, -258, 152, 305, 277, -32, 78, 79, -50],
 [-233, -268, 60, -53, -284, -189, 175, 61, 139, 69, 187, -245]]

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[User]
Determine the rank of the following matrix:
[[19, -550, -525, -148, -162, -345, -243, 477, 353, -299, -483, 258],
 [-513, -203, 451, -725, 395, 497, -497, 63, -865, 809, 1396, 325],
 [-522, 239, -468, -314, 45, 96, 581, 156, 204, 904, 852, -818],
 [-781, -1466, 318, 309, -23, -666, -129, 1252, -693, -492, -785, 875],
 [216, -508, 1506, 829, -262, 802, 80, -391, -1485, -559, -876, 1058],
 [943, 538, -671, -820, -309, 493, 1291, -376, 123, -301, 639, 12],
 [-609, 61, 1043, 206, 149, 491, -928, -47, -731, 903, 449, 76],
 [616, 158, -189, -731, -149, -30, 1099, 55, 172, -969, 109, -1280],
 [-136, -63, 419, -384, -171, 565, -37, 107, 63, -48, 260, -597],
 [-669, -885, -708, 581, 335, 88, -368, -351, -305, 906, -7, 1359],
 [275, 887, -375, -1626, 75, -515, -243, 814, 542, 222, 1454, -987],
 [203, -453, 1305, 1081, 61, 1548, 437, -1525, -1868, 10, -301, 1566]]

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[User]
Calculate the rank of matrix A where A =
[[-145, 214, -541, -455, 684, -265, 420, 44, -324, -652, -70, -27],
 [-590, 1071, 612, 337, -363, 287, -5, 316, 598, -129, -1125, 1385],
 [584, 23, -425, -393, 172, -59, 555, -1226, -467, -235, -282, 84],
 [439, -262, -238, -48, -471, -53, 56, -621, -514, 393, -261, -141],
 [23, -5, 877, 220, -959, 344, -387, 436, 528, 629, -157, 384],
 [-61, 112, 142, -104, 574, 80, 144, -14, 414, -442, 395, 21],
 [451, -1014, 139, -58, 97, 24, -310, 98, 141, 336, 1360, -1152],
 [31, 373, 196, 330, -51, 203, 57, -623, 251, -8, -396, 531],
 [-353, 77, 146, -583, -353, -153, -11, 1362, -90, -45, -190, 104],
 [-734, 579, 11, -516, 354, -181, 191, 1367, 140, -656, -308, 443],
 [566, -879, 148, -911, -184, -82, 83, 505, -126, 134, 975, -877],
 [-447, 510, -208, 810, 741, 53, -80, -513, 294, -355, -149, 305]]

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[User]
Determine the rank of the following matrix:
[[264, -318, -1000, -642, -2, -7, 206, -955, 876, 677, 155, 777],
 [337, 412, 1039, 61, 24, -34, 409, -964, -571, -543, -516, 514],
 [40, -311, -705, 389, -1, -863, -618, -452, 1037, 239, 660, -691],
 [43, -125, -148, 918, -387, -310, -372, -533, 595, -428, 909, -1064],
 [88, -60, 1426, 263, 7, -536, 605, 303, -473, -894, -859, -453],
 [-149, -1548, -1836, 321, 127, -516, -516, 466, 1201, 1667, 239, -330],
 [-110, 836, -1373, -1087, 219, -223, -1573, 1693, -943, -318, 1587, 841],
 [-289, 354, 1106, -368, 249, 974, 2490, 360, 460, 430, -2036, -584],
 [30, 680, 1028, -644, -140, 397, 1468, -49, -511, -817, -931, 434],
 [-215, 543, -1516, -572, 23, -183, 5, -676, 795, 579, 645, 330],
 [518, -406, 838, 806, -207, 212, -3, -51, -889, -327, -219, 299],
 [724, -585, 27, -335, 69, -305, -666, 446, -898, -151, 122, 1334]]

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[User]
Determine the rank of the following matrix:
[[-1123, 347, 263, 439, 1335, 132, 551, 487, 176, -429, -455, -1117],
 [-447, 909, 238, 583, 295, -268, 316, 1375, 599, 204, 567, 31],
 [904, -484, -948, 1038, -288, -667, -1875, 649, 936, 635, 645, 312],
 [608, 360, -314, -156, -337, 361, -370, -635, 231, -379, 349, 548],
 [267, 180, -154, -821, -100, 406, 342, -1271, -879, -257, -312, 367],
 [-487, -1010, 919, -280, -211, 208, 733, -11, -49, -100, -779, -751],
 [287, 151, -866, -413, 151, -743, -249, -374, -1557, 1031, -58, 649],
 [563, 273, -634, -542, -321, 328, -427, -1251, -351, -672, 480, 705],
 [-215, -1089, 12, -456, -420, -250, -62, -451, -582, -248, 18, -137],
 [-737, -805, 852, -17, 0, -52, 701, 521, 52, -2, -519, -803],
 [-651, 611, 1195, -818, 134, 770, 1913, -307, -507, -301, -808, -273],
 [-165, -453, 729, -545, -559, 266, 751, -221, -190, -183, -283, -71]]

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[User]
Calculate the rank of matrix A where A =
[[-477, 104, -527, 589, 210, -802, 1285, 295, 1067, 565, -593, -1305],
 [31, -52, 376, -499, 773, 228, -232, 436, 796, 647, 91, 645],
 [1137, -741, -661, 286, 63, -277, -1250, -1545, -850, -4, -455, 33],
 [-212, 2, 2005, 1188, -281, -112, 510, 1116, -109, 422, -151, 977],
 [172, 1042, -162, -423, 1091, -605, 298, -206, 599, 1496, -308, 535],
 [742, 133, -466, -1284, 323, -339, 240, -714, 360, -721, 659, -299],
 [-634, -1321, 1166, 1868, 268, 1324, 710, 671, -449, -1973, 888, -187],
 [499, 518, -2018, -1216, 48, -1534, -190, -1133, 587, 667, -307, -1188],
 [-617, 388, -10, 946, -831, 1266, -1226, 1295, 102, -631, -493, -841],
 [-790, -770, -516, -397, -2382, -207, -117, 2076, -102, -1309, -1014, 73],
 [-222, -333, 554, 2232, 257, 470, -610, 286, 585, -22, -1128, -1675],
 [-978, -208, 848, 1332, -556, 1649, 162, 1068, 114, -1207, 105, -1228]]

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[User]
What is the rank of the matrix:
[[1405, 294, 362, -1041, -18, 90, 733, 19, -947, -335, -49, 460],
 [-703, 727, 1397, -474, -1553, -596, 1215, 367, 831, 218, 35, -1708],
 [-826, -385, -537, -487, -185, 1056, 1127, -1935, 1373, -502, 326, 960],
 [-532, -902, -268, 1093, 1381, -1096, -1746, 910, 384, 62, 110, -7],
 [1070, -1351, -922, -671, 475, -172, 3, -926, -968, -19, 816, 718],
 [-426, 672, 529, 1000, -856, -141, -435, 194, -511, 204, -143, -153],
 [-222, -1130, -552, 231, 1047, -304, -607, 407, -1587, 393, 662, -31],
 [289, -298, 223, -354, 906, 880, 44, -761, 349, -1630, 585, 421],
 [-1007, -689, -684, 516, 1313, 1026, -277, -219, -764, -742, 150, -16],
 [-740, 78, -80, -64, -1165, -817, 602, -385, 1219, 1404, -154, 359],
 [709, -1184, -1023, -623, 315, 124, 293, -675, -1054, -180, 372, -281],
 [-113, 845, -19, 1334, 236, 874, -1097, -287, 33, -693, -479, 1286]]?

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[User]
Find the rank of the matrix:
[[886, -66, 572, -464, 727, -358, -318, -218, -268, -25, -162, -362],
 [-982, -225, -1192, -191, -1008, -32, -645, 560, -113, -1189, -52, 425],
 [701, -459, 232, -220, 739, 716, 273, -812, -790, 246, 96, 860],
 [-724, -94, -749, 50, -685, 123, -35, 344, -123, -392, 44, 268],
 [111, -470, -426, 197, 75, 57, 487, 17, -180, -118, 559, 445],
 [624, -566, -247, -744, 437, -48, -434, -187, -978, -659, -49, 358],
 [132, 511, 923, 581, 286, 96, -39, -381, 1227, 503, -55, -155],
 [811, -308, 198, -603, 604, -374, -544, -144, -419, -520, -84, -85],
 [417, -15, 355, 118, 387, -138, 197, -131, 186, 242, 167, -138],
 [433, 226, 793, 371, 538, 230, 488, -457, 371, 854, 77, -79],
 [102, 103, 38, -357, 11, -291, -26, 233, -474, 145, -241, -539],
 [1045, -313, 675, -30, 1033, 317, 298, -774, -229, 395, 226, 438]]

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[User]
What is the rank of the matrix:
[[-10, -33, -33, 142, -45, 120, 84, -13, -141, -79, 124, 24],
 [95, 243, -39, -738, 216, -717, -328, -135, 799, 398, -661, -87],
 [-20, 39, 459, -626, 225, -390, -532, 359, 523, 367, -522, -162],
 [-110, -270, 102, 756, -216, 762, 304, 198, -838, -404, 682, 78],
 [35, 33, -297, 218, -90, 75, 256, -257, -139, -136, 171, 81],
 [50, 84, -240, -8, -18, -114, 120, -232, 84, -10, -26, 42],
 [-70, -75, 549, -358, 153, -96, -452, 481, 209, 227, -276, -144],
 [105, 204, -366, -256, 45, -405, 68, -386, 388, 117, -257, 33],
 [-35, -111, -93, 458, -144, 393, 264, -29, -459, -254, 401, 75],
 [75, 123, -375, 14, -36, -153, 200, -359, 103, -30, -17, 69],
 [55, 144, -6, -456, 135, -435, -212, -66, 488, 247, -407, -57],
 [25, 51, -75, -82, 18, -111, 0, -83, 111, 40, -79, 3]]?

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[User]
Find the rank of the matrix:
[[-188, -62, 86, 518, 849, 17, -180, 211, 651, -179, -776, -23],
 [-108, 13, 93, 208, 233, -196, -418, -14, -317, -620, -387, -506],
 [-3, 617, -508, 326, -544, 671, -518, 117, -105, 740, 624, -899],
 [-493, -216, -809, 344, 1229, -117, -136, 807, 1036, 846, -283, 69],
 [-372, -328, -1054, -468, 386, -514, 350, 622, 90, 964, 546, 178],
 [-104, -394, 128, -222, 416, -596, 260, 8, -152, -532, -410, 302],
 [-549, -62, -1328, -213, 475, -722, 610, 604, -370, 723, 83, -637],
 [111, 413, -72, 442, -173, 874, -294, 94, 746, 825, 300, -46],
 [-143, -562, -774, -1076, -251, -687, 135, 379, -502, 659, 1218, 537],
 [-309, -436, -132, 283, 1237, -170, -360, 540, 1036, 145, -517, 491],
 [-159, -262, -448, -173, 371, -46, -72, 432, 544, 719, 379, 451],
 [13, -459, 368, -354, 244, -609, 330, -147, -237, -708, -364, 525]]

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[User]
Calculate the rank of matrix A where A =
[[-10, -90, 90, -190, -90, -70, 50, 20, 220, 210, -90, -200],
 [22, 198, -198, 418, 198, 154, -110, -44, -484, -462, 198, 440],
 [-26, -234, 234, -494, -234, -182, 130, 52, 572, 546, -234, -520],
 [3, 27, -27, 57, 27, 21, -15, -6, -66, -63, 27, 60],
 [-7, -63, 63, -133, -63, -49, 35, 14, 154, 147, -63, -140],
 [-23, -207, 207, -437, -207, -161, 115, 46, 506, 483, -207, -460],
 [-4, -36, 36, -76, -36, -28, 20, 8, 88, 84, -36, -80],
 [-3, -27, 27, -57, -27, -21, 15, 6, 66, 63, -27, -60],
 [18, 162, -162, 342, 162, 126, -90, -36, -396, -378, 162, 360],
 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
 [-1, -9, 9, -19, -9, -7, 5, 2, 22, 21, -9, -20],
 [-15, -135, 135, -285, -135, -105, 75, 30, 330, 315, -135, -300]]

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[User]
Calculate the rank of matrix A where A =
[[-93, -406, -14, 413, 750, -317, -76, 763, 347, 542, -147, 784],
 [305, 36, -588, -219, -1012, 107, -428, -736, -790, -675, 397, -593],
 [-351, 890, 915, -520, -41, 664, 385, -392, 364, -169, -349, -655],
 [-113, 234, 321, -132, 85, 148, 239, -62, 202, 27, -127, -151],
 [-63, -582, -396, 597, 672, -309, -858, 969, -3, 462, -69, 1092],
 [54, -280, -405, 245, 19, -101, -665, 283, -281, 11, 86, 395],
 [231, -786, -721, 522, 235, -570, -415, 534, -214, 267, 221, 745],
 [-498, 624, 878, -156, 574, 540, -82, 330, 542, 228, -514, 88],
 [-127, 208, 132, -59, 4, 235, -312, 34, -32, -65, -103, -7],
 [-158, 432, 292, -234, -156, 394, -180, -200, -28, -198, -126, -290],
 [-17, 378, 190, -315, -390, 283, 144, -473, -97, -306, 9, -536],
 [-44, -210, 93, 189, 457, -221, 251, 370, 316, 348, -94, 356]]

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[User]
What is the rank of the matrix:
[[30, 48, -16, -258, -416, 432, 868, -42, 664, 548, 22, -562],
 [-734, -385, -75, -425, -625, 354, -371, -268, -136, -364, -1178, -230],
 [280, -137, 109, 393, -1, 242, 617, 278, 364, 632, 340, -584],
 [-93, 103, -51, -140, 119, -230, -437, -123, -288, -398, -85, 427],
 [-277, -285, 25, 298, 295, -358, -1161, 31, -858, -710, -445, 479],
 [27, 8, 4, 8, -6, 20, 70, 12, 47, 54, 39, -39],
 [-89, 557, -189, -767, 11, -318, -239, -436, -55, -562, 55, 817],
 [327, 585, -85, -180, 565, -642, -407, -141, -302, -478, 679, 995],
 [-331, -86, -58, -247, -178, 12, -372, -173, -202, -354, -495, 145],
 [116, 335, -75, -387, -105, 34, 441, -158, 364, 128, 256, 84],
 [-316, -667, 119, 459, -251, 358, -173, 226, -160, 160, -664, -676],
 [-379, -237, -31, -266, -501, 386, 155, -125, 188, 62, -635, -411]]?

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[User]
What is the rank of the matrix:
[[-222, 82, -212, -534, 177, 417, -1252, -787, -135, 779, 579, -760],
 [-1396, -1895, 136, 610, 678, -998, -558, -608, -849, 1717, -735, -417],
 [527, 94, -50, -616, 307, 58, 595, -724, -333, -531, -139, 748],
 [17, 804, -406, -90, -580, 332, 1037, -805, 362, -773, -101, -126],
 [-520, -509, -1781, 1632, -276, 382, 302, 245, 729, 497, -654, -484],
 [117, 31, -503, -1076, 84, 741, -717, -1328, -681, -431, 396, -632],
 [313, 642, 623, -1659, 1709, -1122, -933, -681, -852, -1225, 432, 1364],
 [504, 1608, 176, 61, 105, -295, 826, 371, 680, -1231, 829, 855],
 [-212, -355, 85, 1563, -530, -152, 947, 1385, 520, 333, -141, -70],
 [513, 513, 296, -747, 1106, -905, -574, 702, -384, -1687, 308, 1291],
 [354, -598, 610, -739, 643, -48, -449, -80, -792, 254, -187, 368],
 [421, -181, -1286, 788, 318, 1246, -708, 1060, 409, 472, -606, -549]]?

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[User]
Find the rank of the matrix:
[[-539, -408, -2028, 116, 1207, -732, -339, -1008, -1045, -592, -135, 837],
 [-486, 86, 589, -527, 1245, 86, -222, -11, 667, 69, -230, 236],
 [-528, 142, 613, 591, 125, 289, 1436, -975, 1189, 97, 436, 299],
 [1379, 465, 803, -816, -322, 155, 145, 948, 557, -404, -430, -792],
 [549, 252, 937, -276, -679, 666, 86, 951, 318, 486, 127, -836],
 [210, 303, -934, 199, -604, 459, 807, 318, -893, -271, 1416, 98],
 [629, -1081, 520, -1021, 353, 170, -1160, 162, -286, -465, -963, -1076],
 [-369, -157, -641, -713, 1886, -662, -665, -398, 297, -880, -101, 1230],
 [-786, 490, 28, 265, 358, 676, 818, 156, 1188, 775, 1366, 1218],
 [-78, -1202, 946, -1255, 480, 856, -1182, 566, 180, -311, 514, -38],
 [-399, -1289, 93, 537, 210, -648, -979, -1326, 406, 358, -1644, -317],
 [-41, 1088, 1496, 428, -208, 2, 661, 579, 2129, 554, 632, 709]]

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[User]
Find the rank of the matrix:
[[-165, -671, -303, -88, -76, 166, 489, -37, -272, 17, -645, 128],
 [-283, -513, 335, 376, 268, 378, 279, 229, -464, -49, -539, -320],
 [-82, -542, -430, -216, -168, 52, 426, -114, -136, 34, -506, 240],
 [173, 403, -85, -156, -108, -218, -249, -99, 284, 19, 409, 120],
 [215, 514, -88, -183, -126, -269, -321, -117, 353, 22, 520, 138],
 [-142, -556, -232, -58, -52, 146, 402, -22, -234, 12, -536, 92],
 [-126, 426, 1026, 708, 528, 264, -450, 402, -204, -102, 342, -696],
 [32, -60, -196, -140, -104, -60, 72, -80, 52, 20, -44, 136],
 [290, 405, -505, -485, -350, -405, -180, -290, 475, 65, 445, 430],
 [-98, -6, 346, 272, 200, 156, -54, 158, -160, -38, -34, -256],
 [195, 678, 204, 9, 18, -213, -477, -9, 321, -6, 660, -54],
 [73, -42, -320, -241, -178, -123, 81, -139, 119, 34, -16, 230]]

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[User]
Compute the rank of the given 12x12 matrix:
[[158, -126, 378, 403, 298, -8, 447, 306, -88, 386, 242, 300],
 [-478, 25, -216, -368, 432, 472, -20, 295, 27, 144, 866, -400],
 [364, -154, 534, 629, -372, -508, -175, -454, -18, 282, -284, 748],
 [149, 91, -200, -136, -199, -94, 24, -45, 6, -350, -585, -156],
 [-399, 229, -746, -839, 301, 550, 117, 441, 40, -508, 91, -960],
 [194, -198, 598, 629, -114, -328, -103, -286, -28, 510, 222, 724],
 [207, 82, -152, -68, -419, -254, -192, -300, 31, -382, -743, -12],
 [-157, 83, -288, -332, 539, 454, 572, 695, -56, -98, 233, -548],
 [330, -124, 438, 525, -230, -384, -7, -256, -34, 230, -258, 580],
 [106, -194, 538, 531, 630, 144, 735, 606, -136, 666, 662, 348],
 [312, -148, 506, 587, -460, -532, -345, -588, 8, 262, -256, 756],
 [-4, -189, 506, 471, 254, -24, 127, 73, -49, 610, 664, 476]]

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[User]
Calculate the rank of matrix A where A =
[[-45, -207, 189, -225, -99, -99, 234, -45, 144, -234, -108, -27],
 [-95, -437, 399, -475, -209, -209, 494, -95, 304, -494, -228, -57],
 [30, 138, -126, 150, 66, 66, -156, 30, -96, 156, 72, 18],
 [25, 115, -105, 125, 55, 55, -130, 25, -80, 130, 60, 15],
 [90, 414, -378, 450, 198, 198, -468, 90, -288, 468, 216, 54],
 [-35, -161, 147, -175, -77, -77, 182, -35, 112, -182, -84, -21],
 [5, 23, -21, 25, 11, 11, -26, 5, -16, 26, 12, 3],
 [130, 598, -546, 650, 286, 286, -676, 130, -416, 676, 312, 78],
 [-45, -207, 189, -225, -99, -99, 234, -45, 144, -234, -108, -27],
 [-85, -391, 357, -425, -187, -187, 442, -85, 272, -442, -204, -51],
 [110, 506, -462, 550, 242, 242, -572, 110, -352, 572, 264, 66],
 [-70, -322, 294, -350, -154, -154, 364, -70, 224, -364, -168, -42]]

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[User]
Compute the rank of the given 12x12 matrix:
[[434, -209, -127, -1232, -598, -769, -1368, -1100, 823, 1143, 1003, -1770],
 [211, 164, 720, -7, 10, -90, 295, -63, -408, -329, 363, 738],
 [-688, 250, -444, 1204, 576, 542, -342, 1109, -327, -648, 4, -849],
 [-1168, -343, 107, -752, 193, 292, 758, -165, -1343, -355, 1287, 928],
 [-603, 750, 930, 636, -2, -791, 1285, -207, -30, -802, -606, 537],
 [-254, 122, 533, -108, 386, -459, 1316, -275, -1457, -45, 602, 1147],
 [-1309, -158, 1604, 77, 1055, -203, -95, -233, 717, -877, 356, -690],
 [-262, 221, 663, 357, 1726, 720, -730, 655, 418, -414, -674, -1144],
 [-185, -1651, -226, 232, -1450, -365, 562, -950, 889, -38, 761, 50],
 [554, -830, -477, 971, -324, -647, 1736, -441, -1233, 384, 358, 733],
 [-610, 1484, 450, 120, 94, 282, 500, 734, -160, -952, -1051, 833],
 [479, -1231, 643, 1010, -143, -1088, 1380, -881, -479, 43, 742, 893]]

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[User]
What is the rank of the matrix:
[[262, 42, 45, 23, 720, -288, -255, 78, 28, -325, -153, -381],
 [-414, 477, 1, -242, -881, 48, 88, 284, -119, -216, 65, 681],
 [130, -506, -266, 441, 296, 363, 312, -425, 203, 591, 251, -454],
 [-318, 6, -558, 489, -408, 567, 588, -213, 231, 423, 531, 30],
 [-20, -112, -286, 322, 124, 240, 246, -172, 156, 226, 238, -218],
 [-80, -63, -752, 783, 385, 498, 553, -292, 389, 317, 584, -522],
 [22, -600, -261, 425, -66, 522, 441, -504, 184, 821, 315, -279],
 [-226, -18, -577, 543, -148, 510, 539, -224, 262, 367, 511, -135],
 [-258, 98, -104, 7, -576, 219, 218, 3, -5, 149, 161, 328],
 [206, 493, 772, -868, 203, -915, -879, 619, -402, -1012, -751, 350],
 [-134, 400, -846, 755, 586, 279, 422, -1, 397, -219, 567, -502],
 [186, -239, 114, -6, 283, -63, -97, -109, -6, 106, -105, -208]]?

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[User]
Find the rank of the matrix:
[[-700, -559, -417, 501, 548, -404, -248, -73, 18, 22, 346, -206],
 [-616, -254, -110, 112, 472, -466, 134, 314, 28, 126, 374, -114],
 [-76, 12, -546, -168, 139, 847, 260, 498, 475, -783, 70, 576],
 [-756, -536, -560, 409, 615, -176, -111, 152, 171, -204, 397, -21],
 [736, 499, 305, -412, -567, 526, 141, -39, 7, -116, -389, 229],
 [-360, 103, -101, -347, 309, 103, 546, 791, 279, -249, 298, 312],
 [-452, -25, -135, -189, 372, -52, 408, 641, 214, -158, 326, 190],
 [-68, -166, -266, 181, 73, 180, -157, -114, 81, -196, 3, 53],
 [-172, -288, -110, 364, 119, -277, -332, -362, -129, 157, 38, -248],
 [-264, 417, 259, -734, 217, -26, 917, 1147, 251, -80, 319, 361],
 [-684, -117, -21, -120, 528, -471, 417, 663, 102, 105, 465, -3],
 [-480, -55, -25, -130, 375, -280, 345, 535, 105, 30, 335, 45]]

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[User]
Calculate the rank of matrix A where A =
[[329, 737, -15, -188, -300, 397, -1063, 563, 400, -115, -266, 936],
 [-485, 538, 454, 579, -1114, -1100, 647, 314, -524, -120, 57, -301],
 [181, 38, 38, 117, -579, -278, 254, 377, 542, 453, 71, -119],
 [-1033, 166, 36, 227, -376, -580, 1303, -122, -296, -280, -479, -1137],
 [-326, 196, -247, 43, -787, -550, 133, 985, -322, -195, -658, 169],
 [74, 170, 343, 157, -21, 80, 375, -559, 658, 377, 452, -501],
 [-74, 681, 63, -35, -430, 111, -278, 335, 420, -65, -297, 221],
 [308, 120, -10, -212, 342, 612, -376, -248, 684, 196, 108, 128],
 [-415, -561, -62, 349, -527, -1055, 992, 350, -850, -4, -60, -541],
 [-351, -192, 195, 353, -349, -704, 859, -132, -402, 56, 181, -629],
 [-515, -433, -47, 263, -368, -757, 1192, 64, -348, 100, -104, -889],
 [-271, 115, 178, 135, -27, -115, 454, -344, 46, -6, 88, -475]]

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[User]
Calculate the rank of matrix A where A =
[[-168, -108, -96, -192, 288, 108, -288, -228, -192, 36, -60, -84],
 [-196, -126, -112, -224, 336, 126, -336, -266, -224, 42, -70, -98],
 [182, 117, 104, 208, -312, -117, 312, 247, 208, -39, 65, 91],
 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
 [-84, -54, -48, -96, 144, 54, -144, -114, -96, 18, -30, -42],
 [-350, -225, -200, -400, 600, 225, -600, -475, -400, 75, -125, -175],
 [-266, -171, -152, -304, 456, 171, -456, -361, -304, 57, -95, -133],
 [210, 135, 120, 240, -360, -135, 360, 285, 240, -45, 75, 105],
 [-280, -180, -160, -320, 480, 180, -480, -380, -320, 60, -100, -140],
 [-238, -153, -136, -272, 408, 153, -408, -323, -272, 51, -85, -119],
 [-322, -207, -184, -368, 552, 207, -552, -437, -368, 69, -115, -161],
 [224, 144, 128, 256, -384, -144, 384, 304, 256, -48, 80, 112]]

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[User]
Determine the rank of the following matrix:
[[593, 1021, 552, -74, -563, 436, 591, 488, -516, 320, -614, 277],
 [302, 464, 966, -634, 47, 329, 635, 487, -35, -321, -737, -85],
 [167, 761, 371, -242, -392, 65, 354, 401, -192, 134, -481, 97],
 [279, 363, 652, -302, -29, 372, 449, 296, -152, -140, -490, 127],
 [-327, -46, 47, -290, 103, -271, -64, 56, 259, -203, -71, -143],
 [-289, -257, -825, 570, -144, -253, -532, -391, -36, 334, 585, 215],
 [-427, -187, 1392, -876, 660, 721, 504, 169, 205, -1013, -799, 736],
 [403, 729, 1207, -910, -22, 239, 836, 731, 14, -368, -991, -333],
 [-102, 602, -428, -10, -529, -609, -115, 231, 27, 401, 1, -341],
 [415, -410, -731, 456, 12, -360, -287, -215, 42, 362, 602, -794],
 [267, 124, -111, -222, -69, -481, 76, 242, 199, 93, -13, -913],
 [-319, -43, -988, 436, -308, -655, -564, -235, 93, 443, 569, -200]]

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[User]
Find the rank of the matrix:
[[606, -314, 477, -487, -1400, 45, 738, -116, 587, -43, -717, 35],
 [-1681, 204, -112, -255, 884, -461, 1102, -710, -191, -249, -163, 623],
 [-350, 559, -1475, 23, -242, -1122, -84, -686, 1794, 705, 437, -494],
 [774, -576, 1166, -19, 738, -741, 521, 275, -627, 496, -684, 940],
 [-1586, 401, -96, 62, 396, -289, 306, -760, -522, 242, 1409, -50],
 [685, -59, 220, -521, 949, -119, -1582, 1212, -2014, 158, -302, 685],
 [593, -153, 1079, -375, -501, 196, 227, 13, -1054, 489, -258, 41],
 [-997, 724, -287, -168, 1073, 157, -511, -151, -385, 316, 84, 420],
 [-548, -540, -301, -1321, 776, 399, -1160, 996, -1341, -593, -180, 1189],
 [-87, 490, -211, -1024, -410, -1105, 1422, -248, 349, -1732, -1245, 510],
 [-245, 5, 421, -487, 884, -277, -335, -93, -1069, -831, -541, 457],
 [401, -710, 893, -573, 771, -13, 255, 269, -200, -66, -923, 1153]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-106, -81, -675, -206, 288, -1608, 287, -96, 731, -870, -321, 1284],
 [652, 516, 1078, 206, -731, -931, 49, -705, 446, 516, -409, 422],
 [92, -80, -32, -744, 121, 685, -140, 486, -149, 47, 497, 235],
 [-248, -352, -146, -362, 594, -424, 822, 618, -185, -1307, 442, 63],
 [-774, -143, -1269, 538, 182, 230, -381, 2, -5, 112, -29, -94],
 [29, -222, -325, 559, 563, 424, -891, 590, -201, 372, -259, -1267],
 [-1119, -286, -1123, 495, 321, -834, 1047, -66, -44, -1367, 239, 350],
 [500, -145, 451, 127, 256, -235, -57, -227, 62, -70, -735, -459],
 [-303, -77, -358, 147, 92, 25, 83, 53, -66, -170, 93, -45],
 [641, 329, 700, -524, -616, 1120, -716, -311, -21, 1342, -25, 128],
 [-96, -365, -17, -888, 470, 352, 741, 548, -321, -1008, 561, 252],
 [70, 354, 656, 247, -809, -566, 764, -1153, 186, 59, -325, 610]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-843, 73, 422, 124, -254, -334, -766, -922, -1253, -913, -225, -191],
 [-610, -168, 864, -204, -833, -725, -1651, -155, -916, 89, -788, -924],
 [-244, -593, -358, 250, 411, -560, 650, -402, -77, -488, -153, 565],
 [-522, -231, 562, 648, -394, -117, 327, 600, 196, -921, 272, 799],
 [-61, 1608, 550, -570, 866, 626, 1245, 337, 398, 199, 1288, -602],
 [-7, 502, 994, -79, -708, 178, -499, 797, 548, 633, 464, -548],
 [-833, -540, 356, 1084, -685, -146, -186, -604, -343, -1336, 464, 995],
 [387, 14, -256, 143, -183, 192, -114, -1255, 638, 1120, 1039, -319],
 [-99, -777, 188, 928, -820, -35, -92, 417, 795, -185, 442, 806],
 [338, 339, 336, -321, -34, -322, 429, -1589, -60, 575, 189, 360],
 [1197, -184, -646, -1046, 491, -273, 18, 670, 805, 1999, -864, -927],
 [-61, 162, -304, -670, 553, -270, -434, -98, -543, 448, -496, -1159]]

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[User]
Determine the rank of the following matrix:
[[676, 364, -56, 168, -10, 664, 310, 75, -119, 288, -548, -38],
 [-835, 51, -176, -579, -418, -377, 222, 289, -247, -207, 203, -331],
 [-33, -169, 172, 141, 224, -221, -208, -211, 141, -87, 249, 165],
 [-850, 238, -112, -666, -430, -310, 434, 283, -371, -202, 162, -396],
 [20, 444, -264, -336, -422, 432, 538, 381, -353, 152, -468, -354],
 [168, 672, 56, -252, -154, 476, 742, 119, -427, 140, -392, -266],
 [-570, -326, 184, -78, 150, -650, -298, -201, 137, -286, 586, 112],
 [457, -221, 296, 501, 498, -25, -366, -407, 305, 25, 159, 381],
 [-896, -198, -76, -438, -242, -622, -66, 128, -68, -294, 448, -170],
 [308, -563, -30, 477, 267, -135, -701, -172, 458, 21, 140, 347],
 [-331, -241, -352, -195, -344, -145, -184, 312, 38, -39, -13, -145],
 [-382, 257, 246, -267, 41, -219, 337, -116, -222, -155, 238, -101]]

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[User]
Determine the rank of the following matrix:
[[64, 33, -121, 177, -25, -117, -105, 143, -24, -218, -156, 22],
 [-246, -121, -207, 579, -185, 136, -2, 213, 234, -768, 231, -361],
 [-630, 44, 496, 48, -230, 343, 469, -464, 838, -226, 139, -111],
 [350, 242, 83, -336, 140, -383, -152, -34, -203, 454, -635, 500],
 [-328, 341, 735, -435, -85, -29, 403, -645, 740, 390, -568, 486],
 [76, -352, -555, 450, 0, 196, -215, 468, -437, -468, 694, -569],
 [-254, -198, 206, -282, 20, 429, 279, -286, 66, 346, 663, -275],
 [-6, 0, -63, 126, -30, -27, -36, 72, 21, -162, -33, -30],
 [210, 363, 7, 171, -45, -540, -204, 121, 160, -256, -1013, 517],
 [-40, 176, 329, -318, 20, -74, 139, -292, 211, 352, -320, 305],
 [-196, 99, 203, 39, -95, 15, 141, -163, 358, -122, -170, 78],
 [212, 110, -79, -12, 50, -242, -155, 110, -143, 40, -350, 209]]

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[User]
Find the rank of the matrix:
[[99, -155, -258, 258, 306, -591, -50, 277, 63, 177, -422, -391],
 [-145, -179, -458, 387, -385, 404, -154, -201, -465, -201, -1371, -507],
 [822, -638, -664, 372, 626, -421, 477, -577, -175, -314, -351, -979],
 [-237, -530, -244, -141, 367, -805, -140, 1198, -375, 866, -1042, -432],
 [-1059, -266, 442, -556, -958, 1331, -286, 438, -817, 381, -405, 811],
 [60, -1185, 163, -91, 1333, -847, 191, 208, -480, 781, 121, -124],
 [-39, 350, -366, -213, -375, 809, -35, -807, -652, -351, -2027, -610],
 [-270, -1085, 568, -574, 1706, -951, 354, -115, -126, 1095, 895, 399],
 [-563, -963, -320, 687, 303, 6, -68, -523, -319, 199, -723, -229],
 [1505, 613, -932, 186, -911, 531, 712, -626, 449, -1469, 531, -955],
 [109, -131, -982, 685, -563, -138, 347, -252, 712, -464, 92, -663],
 [-109, 374, -538, 1567, -146, -1287, -522, 583, 1277, -184, 265, -304]]

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[User]
Calculate the rank of matrix A where A =
[[59, -71, -276, 229, -224, 94, -83, -104, 139, 464, 279, 278],
 [-299, 581, -471, -151, -229, 803, -658, 407, 92, 538, 171, 112],
 [328, -512, 476, 48, 388, -724, 620, -460, -180, -632, -128, -152],
 [61, -389, 368, 160, -84, -605, 446, -44, 56, -323, -315, -121],
 [-230, -340, 585, 154, -417, -753, 479, 435, 207, -464, -812, -336],
 [-264, 16, -86, 219, -594, -7, -93, 422, 307, 363, -224, 67],
 [-485, 375, 235, -264, -263, 138, -199, 765, 83, -281, -663, -399],
 [380, -500, 390, 57, 434, -649, 577, -550, -199, -547, 4, -83],
 [-490, 350, 172, -189, -364, 145, -215, 772, 141, -151, -622, -331],
 [514, -106, -228, -72, 700, 154, 32, -836, -332, 10, 746, 254],
 [271, -309, 307, -34, 401, -428, 395, -395, -195, -479, -11, -109],
 [417, -153, -294, 93, 378, 114, 15, -678, -159, 246, 681, 336]]

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[User]
Determine the rank of the following matrix:
[[-184, 605, -824, 2, -868, -398, -219, 351, 85, -177, -657, 231],
 [34, -190, 16, 1050, -1007, 463, 463, 478, -891, 1178, 1079, -1029],
 [-11, 22, 1684, -337, 1316, 40, 560, -978, -45, -180, 311, -63],
 [1062, -698, -104, 655, -908, 209, -852, 975, -1300, 1550, 476, -25],
 [-643, 792, 981, 411, 104, 98, 700, -823, -532, 35, -56, -395],
 [369, 1325, -289, 324, -814, -391, -595, 525, 657, -288, 411, 611],
 [467, 116, -214, -914, 326, -682, -338, 282, 1048, -741, -231, 712],
 [-812, -1140, 76, 351, 21, 201, 1322, 10, -631, 132, 11, -1293],
 [629, -655, -604, -722, 372, -52, -498, 409, 850, -175, 264, 394],
 [-74, 1410, 872, 834, -46, -564, -709, 76, -61, -1043, -568, 1107],
 [-931, 590, -90, 222, 78, -146, 845, -204, 883, -1150, 95, -331],
 [900, 70, -824, 233, -1493, 105, -376, 942, -341, 1528, 1027, -381]]

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[User]
Determine the rank of the following matrix:
[[-236, -755, -655, -273, 297, -277, -728, 355, 66, -258, 84, -335],
 [-439, 707, 373, 744, 18, 505, 1361, -892, -75, -432, 204, -331],
 [-57, 364, 615, 177, -103, -230, 457, 180, 241, 397, 231, 249],
 [657, 54, 164, -201, -280, 186, -351, -33, -625, 576, -345, 673],
 [37, 130, 22, 530, -368, 798, 24, -501, -642, 711, -230, 330],
 [-179, 493, 215, 274, -346, 295, 169, 50, 737, 244, -98, -147],
 [-620, -654, -215, 583, 79, 156, -251, 47, -525, 788, 359, 73],
 [-996, -421, -350, 256, 526, -413, 287, 166, 623, -684, 607, -878],
 [-236, -1063, -413, -379, 519, -821, -734, 681, -248, 22, 418, -21],
 [471, 322, 642, -76, -273, -142, 76, 203, -214, 735, -55, 715],
 [271, -373, -239, -640, -64, -479, -1027, 858, 589, 198, -166, 75],
 [106, -10, -53, -275, 135, -244, -13, 95, 161, -394, -5, -119]]

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[User]
What is the rank of the matrix:
[[-600, -696, 700, -168, 132, 208, -88, -120, 516, 624, -536, 292],
 [564, 84, -46, -300, 390, 248, -620, 804, 150, -336, 92, -682],
 [143, -11, 23, -102, 128, 88, -197, 243, 74, -71, 0, -196],
 [-53, 353, -383, 318, -362, -304, 503, -513, -416, -127, 252, 322],
 [-234, -414, 426, -180, 180, 192, -210, 126, 360, 306, -312, 12],
 [451, -187, 236, -444, 541, 396, -809, 951, 403, -157, -110, -727],
 [497, 67, -33, -270, 350, 224, -555, 717, 140, -293, 76, -606],
 [-234, -414, 426, -180, 180, 192, -210, 126, 360, 306, -312, 12],
 [-257, 53, -77, 210, -260, -184, 395, -477, -170, 113, 24, 376],
 [-645, -471, 455, 42, -108, 8, 247, -465, 246, 549, -376, 512],
 [169, -229, 259, -294, 346, 272, -499, 549, 328, 11, -156, -386],
 [141, 219, -224, 84, -81, -92, 89, -39, -183, -171, 166, -29]]?

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[User]
What is the rank of the matrix:
[[304, -266, 152, 418, -38, 437, -247, 323, 361, -19, -171, -133],
 [-48, 42, -24, -66, 6, -69, 39, -51, -57, 3, 27, 21],
 [32, -28, 16, 44, -4, 46, -26, 34, 38, -2, -18, -14],
 [-176, 154, -88, -242, 22, -253, 143, -187, -209, 11, 99, 77],
 [-352, 308, -176, -484, 44, -506, 286, -374, -418, 22, 198, 154],
 [-352, 308, -176, -484, 44, -506, 286, -374, -418, 22, 198, 154],
 [400, -350, 200, 550, -50, 575, -325, 425, 475, -25, -225, -175],
 [48, -42, 24, 66, -6, 69, -39, 51, 57, -3, -27, -21],
 [416, -364, 208, 572, -52, 598, -338, 442, 494, -26, -234, -182],
 [368, -322, 184, 506, -46, 529, -299, 391, 437, -23, -207, -161],
 [368, -322, 184, 506, -46, 529, -299, 391, 437, -23, -207, -161],
 [-352, 308, -176, -484, 44, -506, 286, -374, -418, 22, 198, 154]]?

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