[User]
Find the rank of the matrix:
[[-629, -147, 276, 716, -491, 21, 66, -354, -466, 455, 86, -387],
 [-856, -4, 686, 1248, -573, -502, -387, -1146, -885, 887, -398, -1167],
 [-856, -17, 376, 1002, -688, 61, -92, -392, -538, 544, 205, -382],
 [-263, 58, 184, 494, -901, 64, 224, 2, -501, -54, 539, 121],
 [512, -95, -430, -794, 435, 781, 143, 1302, 762, -798, 237, 1047],
 [998, 502, -706, -1304, 634, 411, -88, 1228, 1136, -1076, 517, 1439],
 [-260, -300, -426, -288, 329, 846, 361, 874, 614, -84, 410, 719],
 [-80, -136, -76, 56, -494, 250, 448, 284, -171, -157, 498, 328],
 [291, -517, -224, -456, 27, 385, 670, 562, 51, -346, 98, 317],
 [-566, -747, 834, 1042, -339, -279, -37, -862, -1096, 694, -1081, -1511],
 [-215, -427, -150, -168, 718, 605, -19, 528, 506, 111, -368, 90],
 [123, 706, 290, 338, -446, -996, -479, -1056, -479, 200, 21, -504]]

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[User]
Compute the rank of the given 12x12 matrix:
[[743, -257, -881, -235, 1749, -298, 696, 84, -69, 1048, -379, -830],
 [-281, 814, 234, 303, -220, 299, -1041, 371, 468, 2, 830, -754],
 [558, -754, -1008, 763, 1224, -747, 832, 74, -379, 1153, 94, -603],
 [-57, 975, -377, -299, -663, -210, -446, 196, 763, -456, 452, -934],
 [538, -771, -1390, 958, 139, -1071, 43, -354, -550, -509, -769, 760],
 [597, -498, 135, -766, -214, 1002, -1545, -1526, -13, -208, -797, 1683],
 [839, -254, -385, -78, 132, -188, 107, -98, -272, -383, -550, 616],
 [-958, 1068, 922, 450, -902, 362, 240, 1504, 387, 1710, 2004, -1398],
 [-105, -848, -249, -225, 527, 486, -728, -747, -200, 923, -593, 1178],
 [52, 207, -1599, -452, -725, -385, -577, -419, 210, 777, -774, 713],
 [-1247, 618, 1716, 368, -145, 846, -177, 1059, -179, 237, 764, -233],
 [-819, 255, -283, -328, -699, -263, 534, 964, 496, 1258, 655, -330]]

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[User]
Find the rank of the matrix:
[[493, 200, 160, 39, -352, 280, -198, 462, 70, 382, -1138, -274],
 [1130, 186, 152, -66, -798, -879, 400, -1024, 779, 1327, -949, 960],
 [-775, 682, -127, 495, -91, 1051, 70, 1512, -689, -1706, 675, -797],
 [325, 595, 22, 388, 487, -11, 741, -912, 1335, 180, 319, -411],
 [-142, 120, -1754, 147, 354, 676, 1489, -1058, 662, -1221, -44, -309],
 [561, 409, 1153, 312, 3, 448, 105, -68, -60, -374, 874, 863],
 [449, 215, -183, 435, -117, -638, 860, -668, 765, 934, -639, 876],
 [-764, -320, 377, 78, 202, -952, -704, 1040, -465, 906, 62, -510],
 [-1700, 849, -881, 732, 48, -602, 502, 527, 474, -519, 1031, -395],
 [8, -1000, -128, -479, 665, -851, 187, -997, 37, 806, 227, -164],
 [-389, -77, 377, 23, 938, 7, 182, -402, 445, 38, 801, -929],
 [-229, -639, -136, -24, 619, -455, -599, 441, -128, 869, -514, -271]]

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[User]
Calculate the rank of matrix A where A =
[[680, 355, -1073, 190, 1589, 845, 190, -1277, 416, 39, -22, -346],
 [-620, 79, -450, -1375, 487, -377, -484, 432, -465, 948, 186, 277],
 [-1448, -588, -1881, 980, -434, 1078, 642, -755, 555, 1088, -458, -80],
 [681, 1400, 741, 321, 1168, 1545, -1326, 969, -785, 589, 1616, -2447],
 [-588, -1173, -752, 222, 1909, 939, 1177, -1069, 721, 519, -682, 266],
 [1392, -603, -416, 1184, -2008, -1138, 413, -787, 315, -6, -1873, 502],
 [107, -506, 842, -146, 219, 964, -1396, 1335, -153, 168, -296, -930],
 [-147, 184, 164, -763, -1096, -1054, -396, 1059, 266, 34, -694, 507],
 [-199, -33, -415, 978, -762, 1108, -68, 224, 739, -304, -329, -1090],
 [-261, 495, 376, -1624, 491, -506, -670, 758, -526, -75, 367, 276],
 [195, -627, -322, 336, 2083, 509, 307, 260, 659, 1716, 231, -934],
 [271, 2034, -475, -54, 174, -1425, 1164, -736, -190, -376, -141, 1120]]

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[User]
Determine the rank of the following matrix:
[[504, -1127, 1612, -863, -1503, 511, -1387, -387, -1162, 827, 373, -907],
 [-1059, 158, -753, -566, -812, -400, -740, 332, 386, -255, -621, 476],
 [1072, -373, 220, -823, 300, -212, 410, 154, -545, -472, -593, -1010],
 [1781, 26, 1336, -1517, -542, 65, -135, 1411, 366, 663, 531, -1157],
 [561, 276, -1044, -360, 434, 314, -8, 759, -345, -803, -297, -791],
 [-1774, 36, 495, 100, -1451, -408, -888, -608, 460, 458, 30, 1242],
 [-195, -255, -537, -437, 325, 327, -467, 486, -251, -934, 482, -301],
 [-7, -197, 1048, 411, -214, -339, -112, 452, 1153, 31, 1120, -147],
 [1675, 989, -108, -1430, 503, 659, 837, 1805, 297, -494, 840, -881],
 [-214, -583, -194, -399, -1038, -580, -874, 462, 67, -567, -677, -609],
 [522, 757, -1756, -561, 300, 742, 973, -212, -681, 68, -1115, -195],
 [-1033, -145, 402, 1131, 193, -758, -485, -397, 332, 583, -138, 1421]]

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[User]
What is the rank of the matrix:
[[-392, 47, -418, 0, -24, -757, -215, 717, -534, 980, 373, -1048],
 [71, 696, 951, 60, 191, -125, -1502, -741, -1348, 949, 860, -819],
 [1362, 551, -137, 464, 746, 489, -236, -251, 550, -450, -807, 349],
 [401, 188, 87, 753, 430, 236, 1328, 454, 1532, -1098, -843, 1423],
 [-261, 575, 436, -614, 1301, -33, 469, 582, 1013, 60, -647, 1048],
 [431, 974, 1223, -646, -549, 933, -184, -2, -14, -825, 1209, 541],
 [-398, -216, -943, -755, 749, -643, -107, 194, 399, 523, -701, -554],
 [156, -1743, -979, 122, -1743, 237, -13, -190, -1257, -152, -8, -1003],
 [-429, 1133, 295, 1034, 1141, -547, -79, 920, -266, 1601, 678, 366],
 [-1643, -740, 147, -21, -711, -539, 136, -37, -668, 933, 654, -309],
 [-19, 1203, 1818, 231, 651, -907, 847, 1331, 55, -34, 546, -67],
 [-793, 478, 452, 1167, -509, 90, 1513, 710, 1103, 885, 459, 364]]?

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[User]
Determine the rank of the following matrix:
[[-464, -78, 258, 184, 34, -109, 451, 554, -44, 56, 474, 96],
 [-228, 254, 502, 408, -364, 534, -460, -74, 287, -467, -259, -407],
 [352, 388, -60, 288, -426, 271, -539, -536, 387, -395, -581, -531],
 [-534, 822, 402, 1464, -1044, -51, 513, 576, 936, -720, 246, -1110],
 [-554, 180, 872, 464, -336, 771, -523, 134, 231, -547, -141, -349],
 [-262, 350, 570, 552, -486, 596, -502, -76, 393, -577, -301, -543],
 [-394, -658, -14, -616, 748, -413, 715, 668, -674, 674, 788, 904],
 [-171, 4, 330, 56, -49, 344, -294, -19, 14, -172, -104, -51],
 [-512, 268, 396, 672, -390, 25, 355, 520, 333, -293, 325, -381],
 [-280, -466, 334, -520, 496, 274, -176, 146, -485, 233, 161, 577],
 [-543, -66, 476, 208, -7, 157, 187, 483, -28, -78, 348, 47],
 [126, -400, -332, -576, 512, -357, 305, 82, -439, 499, 257, 577]]

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[User]
Compute the rank of the given 12x12 matrix:
[[130, 304, 61, 689, -226, -416, -1131, 311, -84, -147, 457, 298],
 [130, 335, -543, 207, -473, -159, -567, 422, 145, 155, 337, 73],
 [-10, 7, -22, -306, -371, 263, 86, 367, 419, -142, -414, 279],
 [-85, -138, 8, -925, -650, 731, 658, 619, 907, -275, -1094, 484],
 [-55, -131, 302, -147, 43, 146, 164, -2, 110, -181, -312, 147],
 [125, 354, -306, 23, -922, 81, -772, 931, 649, -195, -180, 600],
 [-40, -127, 567, 283, 353, -147, -197, -248, -243, -229, 19, 91],
 [15, 65, -849, -490, -195, 210, 677, 9, 122, 488, 61, -431],
 [-95, -171, 116, -857, -537, 686, 642, 524, 818, -299, -1058, 463],
 [35, 81, -765, -106, 149, -90, 449, -311, -290, 576, 489, -639],
 [20, 22, 345, 435, 200, -264, -483, -113, -244, -149, 233, 92],
 [115, 238, 14, 845, 210, -601, -944, -151, -513, 71, 816, -96]]

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[User]
What is the rank of the matrix:
[[44, 201, -257, -246, 151, 213, 332, -86, -211, -377, -308, 154],
 [530, 528, 49, -348, -326, 531, 434, 319, -466, -368, -254, 289],
 [292, 714, -416, 8, 104, 396, 400, 328, -118, -400, -554, 218],
 [-278, -683, 370, -98, -79, -338, -310, -365, 43, 299, 490, -175],
 [616, 678, 258, 436, -538, 270, -128, 864, 102, 302, 12, 44],
 [-330, 238, -567, 656, 540, -269, -194, 105, 608, 126, -318, -165],
 [-628, 52, -816, 586, 877, -398, -138, -219, 662, -17, -429, -194],
 [272, -574, 966, -408, -776, -10, -236, -42, -386, 364, 774, -32],
 [436, 683, -11, 462, -259, 215, -60, 718, 183, 173, -164, 38],
 [218, -105, 230, -680, -254, 312, 368, -208, -593, -362, 35, 217],
 [456, 986, -366, 400, -36, 386, 212, 726, 118, -144, -534, 156],
 [50, 135, -254, -504, 154, 300, 488, -236, -409, -554, -341, 229]]?

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[User]
What is the rank of the matrix:
[[-126, -56, 0, 161, 77, -14, -56, 42, -98, -28, 56, -119],
 [-126, -56, 0, 161, 77, -14, -56, 42, -98, -28, 56, -119],
 [-18, -8, 0, 23, 11, -2, -8, 6, -14, -4, 8, -17],
 [144, 64, 0, -184, -88, 16, 64, -48, 112, 32, -64, 136],
 [234, 104, 0, -299, -143, 26, 104, -78, 182, 52, -104, 221],
 [324, 144, 0, -414, -198, 36, 144, -108, 252, 72, -144, 306],
 [270, 120, 0, -345, -165, 30, 120, -90, 210, 60, -120, 255],
 [-36, -16, 0, 46, 22, -4, -16, 12, -28, -8, 16, -34],
 [54, 24, 0, -69, -33, 6, 24, -18, 42, 12, -24, 51],
 [234, 104, 0, -299, -143, 26, 104, -78, 182, 52, -104, 221],
 [-36, -16, 0, 46, 22, -4, -16, 12, -28, -8, 16, -34],
 [-306, -136, 0, 391, 187, -34, -136, 102, -238, -68, 136, -289]]?

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[User]
Determine the rank of the following matrix:
[[308, -456, -66, -484, 723, -205, -386, 481, 1035, -27, 505, 91],
 [103, -301, -433, 155, 1396, -405, -971, 376, 1430, 1145, -152, -1016],
 [98, 457, 472, 344, -719, -140, 1135, -987, -584, -213, -77, -17],
 [-950, -183, 688, -346, -371, -159, -112, -14, -681, 521, -323, -162],
 [-147, 696, -311, -137, -444, -179, -128, -846, -149, -1720, 164, 533],
 [-519, -497, 269, -483, 770, -679, 351, -536, 508, 95, 174, 54],
 [-190, 132, -272, 192, 83, -61, 240, -469, -235, -277, -171, 121],
 [-224, 172, 490, 4, -25, -527, 445, -798, 150, 162, -49, -383],
 [-916, 159, 920, -94, -534, -273, -564, -5, -466, 1117, -572, -948],
 [-375, 255, 235, -223, -525, 66, -720, 240, -292, -159, -125, -117],
 [753, -110, -347, 377, -360, 866, 80, 990, -431, 257, 28, 294],
 [108, -397, -60, 718, -182, 736, 676, 653, -1054, 1476, -580, -159]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-121, 196, -89, -312, -493, -307, -655, -248, 358, -228, 619, 477],
 [-252, 772, 755, -74, -355, -751, 139, 263, -210, 1020, -87, -1112],
 [-6, -397, 318, -419, 364, -200, 487, -1315, -1272, -389, -120, -1526],
 [108, -401, 395, 91, -285, 110, 401, -232, -104, -1231, 251, -49],
 [-432, 716, 1290, -91, -298, -409, 600, -1183, -1059, 351, -856, -1779],
 [-457, 820, 817, -398, 39, -1212, -14, -410, -542, 830, 213, -1936],
 [-1042, 862, 112, -314, 632, -633, -669, -1016, 450, 72, -116, -407],
 [-442, -51, -755, -406, 123, 226, -408, -1067, 99, -295, 134, 619],
 [-549, -96, -1134, 467, 1141, 796, 1046, 573, 301, 736, -792, 284],
 [-52, -403, -584, 234, 364, 895, 57, 486, 533, 443, -1035, 1381],
 [65, 292, 427, 338, -509, -63, 727, -290, -428, -913, 588, -791],
 [34, -523, -332, -173, -173, -216, 364, 577, 219, -475, 906, 63]]

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[User]
What is the rank of the matrix:
[[-344, -322, 370, 413, 147, -152, -157, 596, 658, 341, 66, -294],
 [-339, -31, 579, 734, 461, -827, -274, 634, 668, 522, 575, -196],
 [233, -415, 135, 592, 787, 31, 634, -556, -726, -286, 801, 492],
 [-470, -606, 246, 1233, 916, -159, -544, -354, 649, 525, -24, -397],
 [242, 429, -900, -906, -244, 219, -605, 366, 569, -351, -795, -227],
 [-488, 53, 780, 307, -515, -389, -104, 376, 305, 672, 47, -297],
 [268, 524, 286, -325, -433, -362, 555, -198, -908, -113, 586, 478],
 [-399, -842, 447, 663, 290, 332, 148, 320, 453, 258, 28, -255],
 [47, -382, 213, 38, 131, 157, 512, 525, -20, -188, 409, 161],
 [-288, 252, -668, -363, -452, 369, -1206, -330, 859, 297, -1518, -743],
 [503, 410, -1195, -1145, -64, 364, -418, 444, 431, -716, -680, -33],
 [225, -110, -513, -587, -290, 734, 148, -232, -245, -432, -536, 55]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[-396, 153, 21, -813, -32, -572, 957, -52, 766, 400, 368, 415],
 [-76, 315, 443, 35, 53, 389, -76, -232, -270, -46, -638, 260],
 [-495, 529, 361, -372, 288, 230, -222, 129, 753, 1148, 145, -64],
 [50, -224, -110, 294, 746, 158, -384, -78, -25, 360, -127, -790],
 [343, -399, -311, 640, 319, 205, -689, 91, -411, -158, 11, -737],
 [-444, 418, 408, -736, 39, -197, 833, -256, 493, 354, -215, 601],
 [44, -163, -309, -197, -418, -430, 331, 196, 211, -200, 555, 215],
 [187, -295, -445, 456, 113, 71, -831, 431, 110, 322, 642, -757],
 [-542, 392, 232, -544, 467, -29, 101, 70, 936, 1214, 270, -161],
 [125, -106, -276, -23, -625, -259, 46, 289, 46, -314, 540, 278],
 [-97, -235, -105, -50, 892, -122, 148, -217, 228, 456, -110, -680],
 [-313, 31, -23, -552, 322, -404, 636, -89, 628, 500, 234, -8]]

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[User]
Calculate the rank of matrix A where A =
[[631, 805, 166, -238, 230, -379, -374, 826, -129, -450, -570, 216],
 [430, -474, 332, -348, -354, -586, 622, 508, -542, 1258, 1208, 134],
 [668, 639, -95, -278, -25, -317, 280, 338, -507, -65, 506, 546],
 [494, 880, 53, -163, 368, -103, -539, 530, -4, -740, -821, 182],
 [464, 484, -268, -76, -430, -568, 766, 320, -532, -2, 952, 638],
 [-690, -409, -214, 515, -543, -232, 411, -84, 361, -159, 37, -194],
 [242, 90, 359, -155, 152, -273, -385, 662, 74, 88, -513, -180],
 [-12, 874, -425, 181, 303, 379, -378, -330, 194, -1287, -799, 245],
 [146, 481, -153, 236, -625, -965, 554, 914, -77, -401, 152, 326],
 [-74, -94, -157, 109, -344, -225, 483, -26, -126, 128, 543, 160],
 [-280, -791, 469, -196, 581, 723, -774, -454, 315, 637, -552, -682],
 [-331, -107, -384, 278, -364, 25, 542, -454, -17, -140, 530, 176]]

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[User]
Determine the rank of the following matrix:
[[58, 286, 208, 574, -25, 1418, 442, -236, -43, 555, -53, -1565],
 [890, 519, -895, 133, 1575, -19, -485, 340, 1387, 57, 892, 1090],
 [-559, -207, 762, 519, -510, 372, 559, 743, -456, -220, -69, -743],
 [-793, 127, -780, -250, 451, -81, -364, -310, 662, 1363, -538, 440],
 [-1031, -7, -364, 41, 298, -220, -305, -143, 331, 765, -803, 486],
 [246, -92, 210, -275, 184, 545, -217, -568, 128, -198, 101, 11],
 [1019, -72, 227, -551, 225, -228, -839, -21, -9, -971, 642, 602],
 [-329, -237, 160, -180, 549, 162, -711, -980, 292, -315, -473, 844],
 [-556, 18, 558, 701, 56, 1333, 811, -835, -174, -301, -852, -907],
 [-359, 256, 105, 670, -217, -245, -668, 1419, -341, 579, -74, -809],
 [-192, -614, 590, -110, -240, -330, 184, -757, -268, -913, 17, 774],
 [1049, 813, -1736, -716, 279, -1115, -470, 306, 434, 1041, 265, 336]]

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[User]
Compute the rank of the given 12x12 matrix:
[[371, -823, -151, -171, 1114, 360, -914, 1524, 172, -332, -302, 295],
 [-812, -1011, -157, 681, 85, 432, 206, 907, -628, -1021, -759, 300],
 [-726, 313, -288, 635, -854, -630, 658, 18, -238, -461, 267, -667],
 [23, -155, -1035, -279, -602, 384, -300, -176, 212, -282, 176, 82],
 [184, -1026, -417, -367, 936, 1040, -1009, 842, -1048, -265, -188, 1125],
 [649, 463, -258, -710, 90, 28, -483, -414, -80, 585, 760, 36],
 [68, -102, 33, 175, -310, -162, 326, 108, 1815, -286, -724, -604],
 [668, -217, 805, -263, 709, 104, 20, 231, 1674, 191, -807, -269],
 [112, -1103, 59, 164, 696, 316, -64, 1622, 1367, -1003, -1023, -504],
 [886, -276, -158, -1160, 898, 910, -807, -6, -1115, 351, 728, 598],
 [-466, -1424, -1265, 137, -144, 1036, -409, 1122, -102, -1369, -660, 391],
 [261, -525, 115, -508, -29, 1088, 190, -863, 251, -44, -650, 541]]

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[User]
What is the rank of the matrix:
[[-571, -71, 638, -849, -498, -527, 69, -402, -448, 148, -897, 175],
 [436, -347, 764, 266, 156, -439, -162, -747, 895, -1386, -133, -625],
 [981, 355, -174, 25, -634, -51, 119, 200, -860, 376, 627, -597],
 [-982, -140, 716, 189, 378, -391, 473, -534, 363, -904, -553, -183],
 [982, -323, -138, -302, 173, -520, -1930, 475, -486, 370, -228, 1004],
 [222, -620, 46, -709, -53, -744, -352, -88, 269, -162, -233, 538],
 [885, 24, 1442, 220, -93, -1207, -619, -719, -274, -1346, -251, -966],
 [250, -384, -24, 295, 332, -1539, 203, 482, -1221, -478, 567, 235],
 [194, 30, 325, -562, -75, -146, -534, 30, 141, 459, -328, 278],
 [331, -665, 54, -1915, -806, 28, -1422, -680, 1061, 361, -1288, 852],
 [-242, 56, -276, -786, -42, 379, -376, 492, 90, 1382, -322, 930],
 [-242, -545, -161, -620, 133, 475, 86, -921, 2498, -979, -265, -251]]?

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[User]
What is the rank of the matrix:
[[805, -1591, 730, -455, 1032, 308, -943, -541, 125, -605, -47, 756],
 [159, -601, 104, -351, 497, 303, -107, -52, 278, 361, 744, 536],
 [694, -638, 376, -522, 518, 3, -361, -542, -32, -144, 78, 291],
 [1020, 382, 54, -794, 185, -684, -40, -1055, -376, 495, 83, 41],
 [-795, -99, -64, 599, -181, 520, 124, 798, 456, -5, 158, 21],
 [-539, 308, -610, -64, -294, 45, 617, 476, -353, -2, 427, -254],
 [-411, -397, 374, 287, -34, 795, 140, 629, 763, -33, 301, -91],
 [643, -965, 380, -431, 495, -10, -506, -452, -464, -1069, -524, 51],
 [616, -261, 804, -141, 302, 265, -346, -423, 844, 525, 142, 226],
 [1202, 3, 690, -711, 403, -205, -275, -1050, 455, 801, 275, 233],
 [92, 1083, -222, -207, -603, -335, 683, -144, -143, 439, 43, -693],
 [-1187, 699, -478, 1081, -754, 51, 273, 951, -14, -268, -559, -423]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[1534, -1420, -245, 281, -1180, 468, 12, 1018, -72, 250, 1002, 771],
 [-332, -173, 595, 463, 1274, 723, 234, -398, -229, -894, 735, -118],
 [-38, 243, -205, 343, 689, 91, 946, -440, -184, 784, -120, 387],
 [-811, 1026, -1285, -1310, -478, -461, 61, -1195, 505, 58, -863, -470],
 [-489, -596, 257, 823, 994, 475, 439, 392, 165, 920, 273, 653],
 [391, -283, 35, 463, 48, 1273, 126, -71, -871, -841, 1475, 437],
 [-623, 517, -511, 237, -640, -73, -1162, -342, -192, -1216, 624, -318],
 [-590, 812, -541, 1, -607, -84, -1509, 185, -274, -571, -525, -146],
 [452, 16, 525, 392, 844, 608, 99, 152, -591, -566, 80, 144],
 [1535, -437, -289, -777, -1423, -142, 217, 441, -104, 410, -224, 130],
 [208, 980, 111, -523, 391, -64, 410, 1113, -262, -213, -1030, 651],
 [204, -388, 335, -570, -150, 117, -115, -1385, -6, 59, -74, -1192]]

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[User]
Determine the rank of the following matrix:
[[-206, 1124, -370, 318, 158, -244, -278, -343, -617, 938, -1502, 536],
 [647, -1150, 515, -904, 194, -270, 637, 550, 805, -645, 852, -194],
 [-1632, 476, 127, 1371, -721, 598, -880, -686, 252, -641, 268, 694],
 [627, 114, -358, 25, 512, 49, 1248, 839, -239, -599, -481, 54],
 [-342, -8, -89, 185, -500, -43, -949, -12, 71, 500, 367, -192],
 [733, -457, -612, 29, -33, 345, 328, 1004, -275, -100, 817, -953],
 [-240, -9, 392, -618, -33, -582, -1348, -232, -425, -31, 36, -921],
 [40, -1478, -109, 487, 465, 1569, 729, -476, 1826, 384, 528, 1652],
 [-435, -209, 41, 584, -493, 563, 24, -87, -53, -909, 1228, -501],
 [200, -688, -408, 322, 532, 993, 271, -271, 991, 983, -370, 1250],
 [1172, -430, 210, -1080, -36, -520, 900, -77, 141, 934, 534, -316],
 [636, -931, 520, -1184, 189, -333, -201, -447, 606, 820, 472, -163]]

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[User]
Compute the rank of the given 12x12 matrix:
[[256, -134, 60, 175, 158, -286, -91, 24, 128, -144, -296, 261],
 [-733, 88, -183, 134, -20, -414, 250, 98, 168, 520, 555, 92],
 [-269, 704, -786, 499, 943, -963, -159, 535, 481, -22, -62, -76],
 [718, -372, 520, -445, -506, 982, -103, -358, -426, -442, -368, -207],
 [0, -218, 340, -71, -270, 142, -109, -200, -304, 288, 24, 595],
 [-103, 411, -332, -111, 166, 212, -9, 145, -9, -117, 122, -557],
 [480, 431, -572, 85, 611, -61, -21, 350, 454, -865, -438, -1110],
 [-518, 1633, -1590, 640, 1685, -1219, -364, 990, 626, -105, 16, -597],
 [163, -903, 1117, -337, -1023, 655, -87, -676, -758, 557, 41, 1264],
 [20, -516, 354, -115, -458, 170, 295, -218, 62, -22, 94, -89],
 [-199, 758, -498, -82, 383, 181, -246, 237, -189, 54, 142, -325],
 [-624, 547, -586, 359, 565, -779, -15, 376, 296, 367, 312, 102]]

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[User]
Calculate the rank of matrix A where A =
[[344, 440, 308, 572, -800, 160, -520, -576, 436, 540, -164, 400],
 [246, -110, -215, -949, 833, -94, -238, -356, -69, -369, 42, 281],
 [638, -446, 1005, 459, -794, 464, 226, -4, -7, 155, 681, 18],
 [-350, 388, -707, -395, 572, -322, -308, -174, 77, -75, -517, 116],
 [88, -313, 501, 492, -529, 223, 395, 355, -113, 76, 372, -255],
 [-166, -185, -154, -255, 363, -79, 227, 257, -192, -239, 59, -179],
 [476, -173, 427, -114, -139, 203, -105, -277, 49, 6, 304, 215],
 [322, -1148, 797, -263, 159, 344, 972, 762, -605, -563, 1056, -509],
 [164, -601, 683, 398, -458, 301, 635, 543, -269, -78, 631, -380],
 [768, -676, 1172, 316, -707, 538, 364, 68, -114, 24, 903, -23],
 [-290, -382, -323, -621, 816, -164, 418, 460, -387, -517, 127, -316],
 [70, -785, 180, -665, 685, 65, 635, 525, -510, -625, 595, -345]]

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[User]
What is the rank of the matrix:
[[64, -76, -56, -24, -8, 84, 80, -72, 68, 28, 72, 40],
 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
 [416, -494, -364, -156, -52, 546, 520, -468, 442, 182, 468, 260],
 [320, -380, -280, -120, -40, 420, 400, -360, 340, 140, 360, 200],
 [400, -475, -350, -150, -50, 525, 500, -450, 425, 175, 450, 250],
 [64, -76, -56, -24, -8, 84, 80, -72, 68, 28, 72, 40],
 [-64, 76, 56, 24, 8, -84, -80, 72, -68, -28, -72, -40],
 [-384, 456, 336, 144, 48, -504, -480, 432, -408, -168, -432, -240],
 [-32, 38, 28, 12, 4, -42, -40, 36, -34, -14, -36, -20],
 [208, -247, -182, -78, -26, 273, 260, -234, 221, 91, 234, 130],
 [-256, 304, 224, 96, 32, -336, -320, 288, -272, -112, -288, -160],
 [352, -418, -308, -132, -44, 462, 440, -396, 374, 154, 396, 220]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[-271, -445, -708, -425, -831, -217, -217, 1337, -206, -48, 653, -319],
 [-547, 493, 822, -564, -428, -10, -804, 738, -372, -276, 554, -488],
 [767, 520, -234, -508, 12, -125, 1009, -630, 878, -26, -216, -207],
 [-471, 270, 236, 447, 112, 145, 70, -1118, 332, 248, 519, 465],
 [-670, -594, 696, 290, 167, 502, -705, 232, -572, -71, 289, 26],
 [-97, 156, 54, 14, -203, -204, -355, 206, -130, -69, 25, -38],
 [184, 578, -792, 210, -230, -829, -275, 445, -300, 135, -411, 249],
 [-427, -918, 28, 827, 1160, 519, -562, 797, -1572, 277, -792, 509],
 [-846, 1165, 1006, -341, 393, 296, -260, -202, -416, 179, 646, 34],
 [179, 286, -44, 271, 538, 70, 453, -766, 148, 220, -321, 346],
 [1341, 274, -202, -624, -586, -398, 962, -864, 1578, -424, -406, -560],
 [-410, 398, -434, 1139, 902, -210, -221, -534, -810, 614, -521, 1076]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-572, -376, 672, -332, 640, -8, -68, -184, -124, 348, -568, -456],
 [595, 368, -667, 388, -609, -52, 166, 210, 144, -455, 526, 513],
 [812, 580, -1018, 386, -1022, 132, -94, 224, 146, -308, 936, 570],
 [-542, -220, 448, -566, 272, 348, -626, -284, -206, 878, -156, -660],
 [623, 328, -619, 512, -497, -204, 410, 266, 188, -707, 390, 633],
 [-411, -84, 225, -582, 3, 480, -816, -282, -210, 999, 114, -639],
 [298, 320, -522, -56, -638, 328, -476, -4, -16, 318, 644, 30],
 [-557, -298, 560, -449, 456, 170, -347, -234, -165, 613, -362, -558],
 [-544, -416, 720, -208, 752, -160, 176, -128, -80, 96, -704, -336],
 [-307, -158, 300, -259, 236, 110, -217, -134, -95, 363, -182, -318],
 [325, 8, -97, 568, 141, -532, 886, 270, 204, -1025, -254, 603],
 [-18, -24, 38, 12, 50, -32, 48, 4, 4, -38, -52, 6]]

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[User]
Calculate the rank of matrix A where A =
[[596, -362, 1018, 220, -616, 416, -64, 46, -372, -468, -234, 178],
 [-461, 325, -916, -247, 575, -283, 68, -29, 276, 484, 295, -103],
 [-766, 90, -236, 358, -30, -858, -72, -114, 576, -416, -650, -518],
 [688, -63, 161, -352, 66, 786, 72, 105, -522, 422, 629, 479],
 [291, -344, 975, 393, -667, 59, -100, -2, -138, -682, -538, -42],
 [-569, 304, -853, -139, 497, -433, 44, -50, 366, 334, 118, -202],
 [-725, 105, -280, 305, 15, -795, -60, -105, 540, -340, -565, -475],
 [173, 125, -362, -329, 325, 319, 76, 47, -168, 488, 515, 229],
 [-579, 288, -807, -105, 459, -459, 36, -54, 378, 282, 66, -222],
 [573, 6, -33, -393, 183, 705, 84, 96, -450, 510, 672, 444],
 [374, -363, 1027, 370, -684, 144, -96, 9, -198, -662, -491, 7],
 [-242, 220, -622, -214, 410, -106, 56, -8, 132, 388, 280, -16]]

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[User]
Determine the rank of the following matrix:
[[-203, 108, 298, 346, -335, 145, -243, -196, 302, 313, -629, 42],
 [212, -32, -228, -224, 160, -128, 236, 216, -132, -196, 484, 24],
 [-270, -80, 166, 80, 80, 128, -274, -292, -106, 54, -358, -132],
 [15, -140, -158, -250, 335, -49, 47, -4, -322, -237, 329, -114],
 [316, 24, -266, -212, 70, -170, 336, 332, -34, -176, 568, 96],
 [170, 80, -74, 0, -120, -72, 166, 188, 134, 14, 162, 108],
 [-164, -196, -51, -202, 395, 35, -134, -198, -399, -206, 98, -204],
 [-84, 124, 205, 278, -325, 83, -118, -70, 305, 258, -430, 84],
 [-27, 72, 99, 144, -180, 36, -45, -18, 171, 135, -207, 54],
 [186, -96, -270, -312, 300, -132, 222, 180, -270, -282, 570, -36],
 [-38, -32, 2, -24, 60, 12, -34, -44, -62, -26, -6, -36],
 [111, 104, 5, 88, -200, -32, 97, 130, 205, 93, -5, 114]]

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[User]
What is the rank of the matrix:
[[407, 225, -808, -210, -568, -166, -164, -649, 154, 439, -470, -579],
 [305, -293, 530, -631, -154, -246, 30, 645, -152, -990, 782, 1072],
 [439, 149, 89, -1031, -1655, -1349, -174, -349, 431, -998, 755, 805],
 [998, -461, 371, 332, 118, 211, -616, 527, -95, -198, 542, 165],
 [-385, 170, -818, 548, 1197, 1206, 244, -192, -362, 1251, -1203, -1087],
 [-491, 53, 44, 89, -878, -1108, 430, -673, 518, -186, -6, -226],
 [-893, 624, 535, -662, -35, 20, -18, 229, -61, -443, 399, 940],
 [1013, -303, -501, -279, -234, 44, -220, 26, -107, -46, -28, -99],
 [259, 211, -111, -789, -1331, -1051, -94, -453, 371, -604, 399, 435],
 [1150, -639, 35, -9, 162, 219, -290, 563, -235, -333, 372, 220],
 [-502, 97, -475, 210, 683, 556, 430, -156, -197, 614, -753, -559],
 [313, -114, 300, 273, 906, 973, -452, 703, -400, 166, 160, 186]]?

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[User]
Determine the rank of the following matrix:
[[74, 174, 431, -503, -1017, -262, -63, -40, -527, -1089, 1106, 471],
 [1007, 1, -85, -1108, -286, -714, 328, 124, -652, -998, -599, 202],
 [-197, 386, -1049, -256, -349, -895, 653, -342, -726, 228, -174, 344],
 [-225, 69, 114, 80, -118, 199, 499, 523, -148, 696, -272, -86],
 [224, -577, 940, 664, 25, 583, 369, 304, -365, 215, -65, 224],
 [-251, -236, 797, 690, 172, 112, -1269, -162, 728, -635, 844, -429],
 [570, -192, -993, -569, 432, 195, 116, -173, 5, -273, -833, 70],
 [-225, -248, -23, 612, -642, 478, -574, -386, 916, -544, 2385, 503],
 [-94, 225, 882, -334, -33, -837, 65, 1127, -809, 390, -1573, -1162],
 [17, -290, 274, 562, 466, -61, -831, -98, 739, -15, 176, -611],
 [-541, 428, 579, -13, 600, -260, -610, 459, -23, -144, -1298, -581],
 [821, -425, 65, -348, 605, 241, -468, -773, 214, -124, -333, -525]]

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[User]
Find the rank of the matrix:
[[-434, -125, -403, -1010, -871, 301, 376, 35, -789, 59, 497, -381],
 [-726, -26, -195, 485, 7, -363, -597, 34, -524, 15, 723, -1070],
 [-223, -72, 360, -271, 239, 455, -260, 83, -852, -471, 1038, -729],
 [-1032, 678, -315, 705, 58, -1052, -671, 380, 283, 443, -354, -66],
 [139, -126, -725, -619, -502, 323, 960, -435, 322, 55, 116, -270],
 [-417, 802, 506, 993, 1068, -552, -920, 195, 394, -244, 211, -201],
 [227, -364, -310, -1256, -824, 461, 950, 91, -186, 316, -504, 831],
 [-684, 278, 452, -327, 426, -689, -611, -38, -75, 708, 391, 407],
 [949, -981, -796, -949, -1407, 1046, 1311, -584, -361, -239, 39, -436],
 [-126, -417, -843, -768, -757, 45, 844, -505, 87, 509, 201, -289],
 [278, 324, -148, -126, -800, -10, 65, 88, 90, -109, -692, 419],
 [263, -728, -802, 132, -116, 109, 910, -273, 555, 331, -392, -117]]

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[User]
What is the rank of the matrix:
[[188, -68, 11, 413, -741, -467, 920, -228, -809, 793, -257, -363],
 [823, 110, -688, 329, -1345, -394, 877, -110, -904, 564, 227, -161],
 [766, -42, -263, 210, -41, -375, -382, -212, 455, -362, -75, 725],
 [381, -249, 238, 320, 212, -531, -226, -379, 383, -134, -543, 652],
 [-74, -82, 376, 289, 306, -322, 94, -192, 110, 257, -352, -30],
 [-830, 111, 160, -290, -89, 507, 481, 311, -605, 415, 234, -901],
 [-709, -289, 385, -183, -307, 158, 552, -39, -722, 353, -394, -353],
 [675, 508, -1135, -297, -748, 463, -79, 458, -149, -296, 1138, -158],
 [-541, 64, 249, -459, 1076, 571, -967, 274, 895, -742, 190, 178],
 [-180, -109, 591, 151, 1124, -196, -685, -169, 930, -314, -409, 394],
 [419, -113, -86, 174, -182, -311, -36, -203, 71, -78, -197, 410],
 [-178, 324, -230, -140, -24, 354, 122, 324, -142, 154, 552, -588]]?

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[User]
Find the rank of the matrix:
[[642, -558, -637, 894, -71, -62, 64, -701, -321, -810, 68, 365],
 [-590, 476, 349, -595, -344, -662, -95, 971, 58, 996, -173, -729],
 [126, -307, -201, 523, 338, -38, -92, -187, 258, -329, -120, 64],
 [-708, -250, -430, -344, 159, -376, -130, -111, 117, 838, -247, -540],
 [-230, -353, -987, 56, 824, 798, -521, -496, 76, -23, 732, 848],
 [170, -606, -158, 709, 353, 100, 197, 98, 212, -494, 7, -329],
 [261, 329, 498, 260, 58, -323, -153, -139, 423, -302, -552, 233],
 [-273, -394, 259, -509, -541, 225, 897, 623, -557, 347, 259, -1236],
 [595, 686, 545, 78, 20, 171, -310, -555, 239, -647, -250, 1127],
 [360, -197, 531, 136, 315, 710, 405, -577, 274, -783, -207, 197],
 [122, 4, -2, -198, -317, 390, 274, 409, -489, -62, 589, -62],
 [713, 59, -422, -153, -1182, 185, 416, -316, -1421, -368, 748, 435]]

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[User]
Find the rank of the matrix:
[[249, -132, 106, 676, -808, -174, 714, 163, 185, -94, 189, 540],
 [-333, 1392, 443, -8, 232, -1639, -171, -226, 196, -1241, -623, 858],
 [917, -300, -263, -626, -131, 938, 831, 619, -494, 1357, 264, -479],
 [-2, -614, -263, 641, -277, 585, 94, -746, 186, 601, 20, -239],
 [-643, 132, 703, 159, 288, -146, -378, -982, 801, -215, -574, -246],
 [289, 354, 209, -853, 339, -70, 312, 669, -229, 150, -290, -147],
 [-23, 339, -384, 88, 221, -524, -635, -49, -526, -386, 286, 460],
 [-416, 64, -9, 330, -258, -59, 674, -396, 862, -379, -831, -367],
 [-320, -206, 963, -434, 216, 525, -525, -65, 521, 175, 438, -498],
 [67, -81, -508, 311, 196, -287, -517, -239, -622, -35, 74, 438],
 [-59, 108, -16, 98, -421, 580, 790, -494, 865, 405, -181, -777],
 [220, 415, -47, -734, 741, -297, 182, 19, -394, 321, -1041, -114]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-399, -251, -1050, -559, -282, 269, 733, 299, -470, 423, 889, -611],
 [316, 779, 499, 361, 788, -981, 209, -81, 129, 81, -351, 1270],
 [-597, 138, -34, -188, -511, 373, 301, 811, -127, 57, 89, 136],
 [-955, 630, 1402, 154, -509, 1043, -243, 741, -35, -734, -92, 119],
 [-729, -408, -727, -220, -839, 761, 422, 974, -500, -332, 1103, -389],
 [-645, -579, 38, -447, -727, 698, -115, 833, 238, 54, -797, -505],
 [650, 93, -787, 267, -438, 199, -181, 205, -296, -339, -223, 279],
 [-836, 910, 1505, 34, 1014, 737, 358, 522, -539, -1660, -151, 273],
 [849, -246, -521, -242, 785, -841, 10, -994, 264, 730, -745, -225],
 [576, 1148, -17, 250, 616, 3, 238, -884, -632, -201, 692, 135],
 [-1122, 125, 764, -189, -1723, 1833, -501, 919, 30, -154, -86, -801],
 [-300, 100, 644, -514, 237, 756, -127, 1, 79, -226, -1373, -709]]

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[User]
Determine the rank of the following matrix:
[[-357, -187, -332, -494, -1142, -1218, -168, -204, -638, -35, -173, 21],
 [81, -156, -428, -568, -443, -396, 350, 112, 279, 141, -589, 173],
 [1194, 391, -69, -201, 712, 885, 280, -234, 722, -211, 396, -436],
 [-342, 44, 219, 134, -798, -1050, 595, 832, -738, 784, -152, 737],
 [699, -74, -377, -756, -588, -552, 539, -13, 184, 59, 14, 46],
 [-1663, -1271, 178, 81, -415, -341, 214, 857, 129, 505, -1377, 874],
 [1812, 1228, -719, -782, -241, -306, 459, -465, 157, -76, 495, -485],
 [1187, 281, -184, -200, 552, 496, -103, -787, 396, -684, 1295, -445],
 [-1541, -1305, 1007, 862, 285, 362, -112, 758, -173, 274, -222, 616],
 [-431, -709, 46, -19, -359, -625, 425, 392, -75, 194, 257, 854],
 [-155, 448, -315, 117, -377, -805, -249, -276, -625, -87, 538, 269],
 [473, 615, -688, -779, -1069, -1097, -109, -478, -501, -82, -189, -416]]

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[User]
Find the rank of the matrix:
[[1189, -656, -476, -356, -369, 725, 374, 225, 100, -411, -29, 1154],
 [-387, 35, 519, -306, 183, -198, -500, 269, -607, 307, 448, 86],
 [-676, 316, -27, 377, 1125, 586, -68, 533, 404, 254, 526, 260],
 [543, -91, 380, 417, 42, 233, 492, -749, -480, 532, -1028, -25],
 [-1381, 1226, -93, 390, 418, 311, 358, -830, -973, -27, 632, -496],
 [-371, -145, -358, -359, 422, -482, -393, 639, 532, 22, 558, -561],
 [-771, 199, -143, -67, -277, -765, -106, -611, 193, -144, -231, -1876],
 [-238, 24, 514, 28, 256, -816, -985, 1393, 729, 243, 564, 723],
 [604, 84, -1108, 413, 96, 486, 797, 59, 946, -489, -97, 565],
 [144, 562, 32, 712, 1086, -834, 124, 504, 56, 1104, -116, 626],
 [-844, 593, -234, 183, 69, -363, 59, -383, 10, -125, 205, -934],
 [538, -131, -459, 184, 172, 130, 161, 589, 779, -142, 65, 801]]

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[User]
Determine the rank of the following matrix:
[[-145, 267, 593, -486, -377, 536, 42, 107, 313, -1116, -279, 446],
 [381, 172, 718, -668, -597, 477, 427, -566, -90, -388, -614, 600],
 [-180, 121, 27, -386, -78, 69, 41, 611, 69, -342, 423, -180],
 [-81, -30, 18, -52, -468, 616, 635, -161, 325, -753, -377, 749],
 [921, -135, 297, -2031, -334, 144, -811, -527, 198, -78, 1287, -180],
 [176, 129, -43, -237, -265, 439, 30, 189, -112, -218, -172, 131],
 [731, -169, 537, -1305, 321, -533, -1581, -982, 231, 305, 1065, -522],
 [-59, -112, -53, -95, 407, -321, -875, -89, 326, -76, 605, -345],
 [-566, -314, -68, 668, 855, -1187, -400, -169, 345, 509, 708, -580],
 [-1090, 1, 322, 709, 870, -1137, -363, 532, 459, -192, 606, -661],
 [443, 225, 80, 406, -111, -27, 377, -89, -995, 1099, -989, -162],
 [-114, 392, 550, 819, 254, -121, -357, -69, -472, 191, -1206, -122]]

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[User]
Calculate the rank of matrix A where A =
[[156, -52, 338, 338, -78, 13, -338, -195, 338, 143, -130, -325],
 [-180, 60, -390, -390, 90, -15, 390, 225, -390, -165, 150, 375],
 [-180, 60, -390, -390, 90, -15, 390, 225, -390, -165, 150, 375],
 [-288, 96, -624, -624, 144, -24, 624, 360, -624, -264, 240, 600],
 [36, -12, 78, 78, -18, 3, -78, -45, 78, 33, -30, -75],
 [168, -56, 364, 364, -84, 14, -364, -210, 364, 154, -140, -350],
 [-96, 32, -208, -208, 48, -8, 208, 120, -208, -88, 80, 200],
 [132, -44, 286, 286, -66, 11, -286, -165, 286, 121, -110, -275],
 [-192, 64, -416, -416, 96, -16, 416, 240, -416, -176, 160, 400],
 [276, -92, 598, 598, -138, 23, -598, -345, 598, 253, -230, -575],
 [288, -96, 624, 624, -144, 24, -624, -360, 624, 264, -240, -600],
 [-84, 28, -182, -182, 42, -7, 182, 105, -182, -77, 70, 175]]

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[User]
Calculate the rank of matrix A where A =
[[181, 277, 114, -267, -603, 117, 309, 427, 341, 711, -400, 397],
 [223, -761, -174, -285, 99, -549, -681, -539, 11, -135, 224, -461],
 [360, -328, -24, -496, -528, -320, -232, 0, 352, 608, -224, 32],
 [163, -815, -201, -198, 270, -564, -747, -644, -88, -336, 332, -560],
 [-48, 674, 183, 41, -411, 439, 638, 609, 187, 497, -380, 539],
 [-289, 17, -51, 408, 612, 102, -51, -238, -374, -714, 340, -238],
 [-156, 642, 153, 195, -153, 453, 582, 483, 33, 195, -228, 417],
 [-6, 288, 81, -3, -207, 183, 276, 273, 99, 249, -180, 243],
 [-7, 499, 141, -10, -366, 316, 479, 476, 176, 440, -316, 424],
 [-266, 706, 150, 348, 36, 528, 618, 448, -88, -24, -136, 376],
 [-337, 365, 39, 462, 450, 336, 273, 56, -308, -516, 172, 20],
 [-84, 446, 111, 101, -159, 307, 410, 357, 55, 197, -188, 311]]

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[User]
Determine the rank of the following matrix:
[[233, 53, -192, 439, 566, 1, 520, -87, -657, -465, 60, 310],
 [310, 268, -254, 804, -112, 10, 182, -384, -542, -174, 414, 662],
 [-118, -49, 125, 9, -806, 134, -545, -201, 512, 426, 207, 145],
 [-88, -222, 149, 324, -1050, 369, -621, -461, 513, 392, 403, 549],
 [145, -360, -20, 774, -186, 480, 96, -529, -276, -293, 380, 906],
 [53, -528, 11, 36, 1200, 261, 801, 136, -603, -817, -323, 81],
 [-158, -640, 193, -354, 778, 299, 391, 217, -49, -466, -401, -179],
 [-71, -277, 72, -283, 630, 63, 328, 229, -119, -313, -308, -242],
 [187, 731, -235, 331, -664, -386, -317, -158, -36, 437, 367, 103],
 [-75, 371, -13, -421, -168, -360, -227, 266, 262, 355, -127, -527],
 [-97, 91, 79, -73, -692, -4, -487, -100, 450, 433, 149, -7],
 [-54, 471, 6, 51, -1320, -183, -858, -222, 639, 834, 390, 42]]

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[User]
Calculate the rank of matrix A where A =
[[126, 336, -546, -273, 126, 189, 525, -546, -189, -42, -483, 105],
 [-120, -320, 520, 260, -120, -180, -500, 520, 180, 40, 460, -100],
 [-108, -288, 468, 234, -108, -162, -450, 468, 162, 36, 414, -90],
 [-108, -288, 468, 234, -108, -162, -450, 468, 162, 36, 414, -90],
 [-90, -240, 390, 195, -90, -135, -375, 390, 135, 30, 345, -75],
 [-42, -112, 182, 91, -42, -63, -175, 182, 63, 14, 161, -35],
 [150, 400, -650, -325, 150, 225, 625, -650, -225, -50, -575, 125],
 [108, 288, -468, -234, 108, 162, 450, -468, -162, -36, -414, 90],
 [30, 80, -130, -65, 30, 45, 125, -130, -45, -10, -115, 25],
 [6, 16, -26, -13, 6, 9, 25, -26, -9, -2, -23, 5],
 [42, 112, -182, -91, 42, 63, 175, -182, -63, -14, -161, 35],
 [102, 272, -442, -221, 102, 153, 425, -442, -153, -34, -391, 85]]

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[User]
Determine the rank of the following matrix:
[[-441, 830, 86, 179, -271, -481, 311, -487, 221, 174, 9, -200],
 [419, 887, 339, -625, -516, 319, 589, -478, 268, -862, -162, -119],
 [-441, -714, -43, -655, -1055, 1280, 28, 80, -1009, 137, -656, -923],
 [460, 755, 1273, 513, -93, -1193, 518, -223, -2, -312, -1130, -900],
 [-76, 328, 284, 602, 356, -728, 4, -38, 206, 500, -184, 34],
 [-180, -1236, 384, 1207, 1030, 332, -301, 365, -492, 1082, -401, 310],
 [216, -1432, -567, 193, 1353, -784, -778, 957, 538, 1708, 276, 708],
 [-604, 175, 451, 66, -783, -286, -89, 154, -625, 459, -813, -1144],
 [-534, -420, -1263, 241, 199, 1105, -381, -146, -141, 586, 956, 1081],
 [918, -420, 511, -348, 631, 39, -1318, 1920, 106, 1091, -690, 367],
 [431, 1053, -524, 75, -145, 124, 713, -1095, 471, -642, 415, 698],
 [583, 1710, -570, 1045, -541, -406, 404, -1061, -141, 25, -456, 431]]

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[User]
What is the rank of the matrix:
[[-777, -310, -516, -763, 2, 1139, 1135, 599, -285, 342, 16, 251],
 [0, -319, 615, -211, -211, 190, -334, 187, 10, -20, 0, 289],
 [-228, 56, 780, 478, -588, 70, -186, -278, 38, -130, 624, -332],
 [193, 367, -679, 334, -208, 13, 515, 99, 1145, -894, -1288, 405],
 [-281, -51, 1401, 785, 209, 1551, -1007, 545, 167, 904, 306, 164],
 [-412, -42, 628, 66, 397, 828, -292, -15, 45, -149, 17, 214],
 [502, 684, 9, 887, 193, -198, -571, -106, 572, 59, -140, 28],
 [357, 369, 962, 1309, -583, -669, -1056, -626, 551, -176, 100, -344],
 [-25, 17, 464, 456, -693, 376, -173, 387, 237, 682, 201, 101],
 [466, 49, -704, 266, 116, -567, -362, 244, -21, 1249, -624, 186],
 [-206, 301, 606, 1421, -607, 317, -226, -378, 1121, -697, -724, -289],
 [334, 835, 346, 1289, 432, 297, -726, -221, 924, -384, -337, -11]]?

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[User]
Find the rank of the matrix:
[[1559, -195, -307, -469, 251, 179, 555, -441, 605, 580, -242, -499],
 [-589, 578, 226, 1465, -366, -847, -1191, -368, 910, -597, 1009, -29],
 [-494, -187, -33, 453, -649, -70, 582, -289, 332, 350, -208, -695],
 [-471, -336, 3, 565, 12, -170, 315, -155, 490, 206, 517, 62],
 [-733, 224, -8, 422, -1230, -9, -1627, 620, -764, -750, -56, 531],
 [-440, -115, -201, 1121, 2, -634, 246, -255, 889, -250, -333, -1007],
 [-650, -99, 109, -85, 1667, -505, 423, 372, -183, -373, 432, 161],
 [-1096, 100, -915, 610, -229, 14, -962, 1081, -63, -335, 683, 453],
 [-411, -232, -784, 317, -260, -242, -1220, 743, 114, -372, 1037, 602],
 [-361, 926, -239, 393, -553, 1116, 241, 194, 42, 673, -151, 287],
 [443, 521, 614, -441, 860, -1214, -1253, -95, 523, -730, 1416, 869],
 [-688, 296, 126, -653, 1573, -678, 1157, 355, -111, 346, 626, -611]]

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[User]
Find the rank of the matrix:
[[354, -39, -625, -80, 177, 541, 160, 107, 109, 644, -375, 135],
 [546, -375, -155, 104, 273, 32, 566, -23, 284, 169, -93, 405],
 [-800, 560, 200, -160, -400, -20, -840, 40, -420, -220, 120, -600],
 [508, -370, -90, 112, 254, -24, 548, -34, 272, 102, -54, 390],
 [-662, 413, 295, -96, -331, -145, -644, 3, -329, -314, 177, -465],
 [-290, 23, 535, 72, -145, -466, -122, -93, -86, -551, 321, -105],
 [380, -194, -280, 24, 190, 193, 326, 24, 173, 293, -168, 240],
 [-394, 67, 635, 72, -197, -542, -202, -105, -130, -655, 381, -165],
 [16, 248, -670, -184, 8, 661, -246, 154, -87, 683, -402, -150],
 [552, -300, -360, 48, 276, 234, 492, 24, 258, 378, -216, 360],
 [326, -5, -655, -96, 163, 577, 116, 117, 89, 674, -393, 105],
 [-258, 87, 305, 16, -129, -245, -176, -43, -101, -316, 183, -135]]

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[User]
Determine the rank of the following matrix:
[[-579, -613, 293, 152, -358, 461, 206, 157, 445, -608, -418, 695],
 [-825, -271, 260, 209, 152, 65, 194, 31, 748, 148, -253, 1004],
 [393, -420, 966, 396, 204, 696, -1095, -987, -987, 978, 783, 120],
 [-222, -209, 482, 560, -625, 90, -270, 245, 470, -743, -749, 64],
 [638, 536, -187, -33, 108, -461, -391, -308, -522, 193, 77, -631],
 [-256, 481, -850, -435, 192, -706, 774, 420, 568, -321, -386, 90],
 [-339, -286, -678, -581, -225, 137, 994, 560, 340, -923, -290, 228],
 [-21, -182, -325, -162, -601, -113, 216, -60, 11, -1447, -969, 263],
 [-370, -653, 970, 514, 17, 788, -488, -229, 40, 615, 401, 536],
 [126, -450, -42, -354, 42, 714, 324, 236, -390, 208, 762, -266],
 [46, -1032, 916, 400, -720, 1216, -466, -66, -410, -548, 74, 32],
 [-345, 92, -602, -257, -323, -132, 1029, 1276, 907, -730, -322, -442]]

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[User]
Compute the rank of the given 12x12 matrix:
[[989, 39, 269, 660, -281, 806, 209, -451, -1349, -96, 28, 30],
 [148, -84, -203, 264, -124, 472, -77, -155, -85, -216, 143, 354],
 [438, 94, 426, 138, 24, -68, 118, -78, -762, 270, -150, -412],
 [-12, -162, 177, 207, 345, -156, -615, 141, -177, 513, -24, -162],
 [1035, 157, 408, 502, -337, 626, 486, -448, -1440, -106, -67, -180],
 [-718, 124, 245, -763, 365, -1216, 13, 489, 763, 451, -268, -650],
 [-762, -172, -339, -281, 287, -384, -503, 329, 1059, 113, 86, 206],
 [-485, 163, 379, -661, 318, -1130, 105, 407, 413, 481, -303, -746],
 [51, 53, -102, -26, -169, 162, 244, -94, 30, -250, 35, 128],
 [-195, -83, -81, -15, 126, -86, -251, 99, 249, 99, 33, 62],
 [87, -147, 570, 208, 593, -542, -808, 266, -546, 1004, -187, -632],
 [233, -155, 119, 391, 180, 202, -487, -29, -431, 317, 39, 6]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-647, 44, -894, 56, -156, 33, 975, 357, 2171, -49, -214, 352],
 [910, 1181, 732, -1594, -79, 105, -1533, 928, -581, -1182, 337, 346],
 [-374, -300, 646, -821, -135, -1218, 241, 864, -1281, -429, 1548, -586],
 [-805, -896, -919, 179, 284, -638, 1126, -127, -78, 403, 1319, 3],
 [-615, 605, -771, -503, -668, 427, 592, -227, 1077, 77, 327, 421],
 [382, -584, 105, 307, 45, 255, -390, -614, -458, 368, 672, -418],
 [-733, -1089, -169, 445, -213, 190, 1304, -507, -187, 1011, 1142, -968],
 [1061, 881, 849, -489, -143, 229, -520, 1213, 525, -1346, -695, -204],
 [1172, 1238, 908, -495, -215, 581, -955, 765, 449, -991, -831, 391],
 [-308, 6, -926, 1234, -616, 272, 619, -1017, 956, 562, -689, 352],
 [-556, -787, -590, 655, -501, -364, 825, -998, 229, 163, 608, -871],
 [1411, 933, 1528, -506, -653, 627, -1233, 637, -750, -745, -79, -457]]

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[User]
Find the rank of the matrix:
[[215, -298, -698, 497, -399, -408, 284, -339, -290, 1169, 411, -694],
 [-747, 299, 679, 21, 76, -453, -73, -175, -367, -1003, -161, 4],
 [-375, -235, 280, -1476, 73, 1625, -180, 212, 679, -533, 622, 1367],
 [300, -102, -368, -723, 804, 891, -323, 966, 373, 337, -732, 75],
 [-425, -113, 835, -1107, 337, 1240, -375, -206, 243, -919, 75, 1293],
 [119, -241, -127, -255, -321, 1400, 232, 464, 996, 297, 574, 571],
 [-426, 43, -85, 251, 116, 268, 167, -1182, -504, 1201, -817, -620],
 [-968, 278, 543, -973, 702, 815, -279, 792, 216, -1032, -617, 342],
 [-51, 390, -286, -131, -509, -134, 349, -27, 473, -117, 330, 146],
 [357, 461, 540, 32, 400, -388, -295, -711, -242, -523, -1005, 352],
 [-383, 285, 349, -1164, 284, 925, -171, -1040, 58, -102, -562, 917],
 [-481, 497, 21, -657, -527, 559, 367, -253, 732, -415, 353, 669]]

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[User]
Determine the rank of the following matrix:
[[-233, 361, 265, -413, -295, -406, -446, 623, -90, 984, 168, 355],
 [-549, -54, 483, 892, 423, 709, 330, 36, -798, -208, -790, 82],
 [528, -242, -336, -266, 42, -182, 152, -428, 310, -158, 214, -604],
 [-509, 118, 470, 418, 19, 364, -3, 373, -475, 330, -431, 390],
 [48, 173, 199, -15, 341, 494, 273, -287, 172, 121, -376, -608],
 [-206, 78, -114, 98, 348, -824, -288, 236, -930, -78, 134, 44],
 [-386, 531, -21, -27, 636, -570, -293, 164, -669, -238, 9, -39],
 [478, -920, -414, 46, -1506, 430, 78, 12, 1306, -438, 646, 1244],
 [189, -65, -302, -371, -403, -551, -301, 168, 273, 34, 547, 355],
 [192, -319, -180, 337, 51, 575, 404, -502, 365, -813, -139, -114],
 [-426, -51, 387, 373, 144, -444, -199, 558, -1275, 728, -285, 139],
 [417, -451, -357, -183, -876, 262, 50, -130, 1103, -359, 495, 602]]

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[User]
Find the rank of the matrix:
[[92, -839, 810, 140, -435, 849, 635, 310, -552, -489, -50, -12],
 [176, -141, 402, 126, 1045, 68, -795, 162, -890, 763, -314, -158],
 [1478, 114, 201, 134, 760, -237, 964, 877, -305, -92, 196, -294],
 [172, 721, -617, -236, -1188, -335, 381, -864, 1149, -553, 444, 862],
 [784, 111, 275, 103, -491, 38, 617, -368, 196, -345, 271, 761],
 [354, 1179, -1152, -702, 226, -453, -735, -33, 388, 269, 150, -264],
 [46, -62, -159, 279, -75, -491, 994, 357, 612, -388, 191, -217],
 [1168, 907, -616, -411, -218, -318, 427, 2, 487, -293, 415, 241],
 [-860, -1062, 914, 442, -62, 593, -130, -68, -608, 72, -344, 26],
 [546, 527, -332, -132, 730, -410, -343, 193, -110, 427, 10, -182],
 [-528, -1141, 1158, 783, -240, 333, 539, -240, -297, -139, -177, 471],
 [100, 179, -464, -83, -286, -293, 811, 414, 623, -503, 237, -371]]

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[User]
Determine the rank of the following matrix:
[[90, -342, -396, 126, 18, -180, -162, -36, 252, 360, 288, -288],
 [-75, 285, 330, -105, -15, 150, 135, 30, -210, -300, -240, 240],
 [-105, 399, 462, -147, -21, 210, 189, 42, -294, -420, -336, 336],
 [-80, 304, 352, -112, -16, 160, 144, 32, -224, -320, -256, 256],
 [-55, 209, 242, -77, -11, 110, 99, 22, -154, -220, -176, 176],
 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
 [-85, 323, 374, -119, -17, 170, 153, 34, -238, -340, -272, 272],
 [-130, 494, 572, -182, -26, 260, 234, 52, -364, -520, -416, 416],
 [85, -323, -374, 119, 17, -170, -153, -34, 238, 340, 272, -272],
 [-105, 399, 462, -147, -21, 210, 189, 42, -294, -420, -336, 336],
 [5, -19, -22, 7, 1, -10, -9, -2, 14, 20, 16, -16],
 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]

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[User]
Compute the rank of the given 12x12 matrix:
[[455, 247, 1011, -2008, 199, 143, 435, -1163, 1070, -1183, 1142, -1344],
 [794, 596, -17, -642, 906, -102, -47, 80, 1063, 626, -1146, -82],
 [77, 1538, 633, -398, 310, 425, -346, -56, 434, -465, -86, -64],
 [-409, -533, -752, 778, -575, -125, 295, 570, -891, 411, -443, 290],
 [597, -462, -115, -446, -1227, -101, 659, -395, -339, -470, 383, -71],
 [-612, -2136, -445, 1073, -551, 98, -113, -139, -1270, 76, 1020, -84],
 [-1153, -845, 804, 202, 1229, 350, -363, -643, -91, -582, 958, -1159],
 [-733, -189, 608, -138, 113, -169, 220, -483, -27, -807, 904, -458],
 [687, 429, -53, -1055, 584, 1731, -1185, 22, 239, 269, 420, -1134],
 [-927, 677, 728, 220, 162, -729, 370, -191, 218, -782, 360, 293],
 [-303, -347, -42, 66, -85, -754, 900, -88, -15, -128, -505, -69],
 [1511, -214, -92, -278, -1124, 823, -252, -435, -395, -131, 179, 64]]

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[User]
Find the rank of the matrix:
[[779, -317, 183, -66, -11, -691, 566, 423, -940, -947, -423, 654],
 [-42, 797, -298, 1256, -919, -239, -856, 1025, 661, 467, 224, -137],
 [87, 37, 35, 274, -357, 453, 270, 389, -248, -123, 613, 168],
 [1381, 991, 1398, 963, -1389, -51, 258, 542, -55, -764, 1040, 1119],
 [122, -7, 354, -216, -277, 363, 728, 482, 67, 71, -295, -292],
 [243, -977, -245, -343, 1065, -808, -120, 479, -1074, 307, -883, -693],
 [-559, -310, -76, -659, -677, 843, 575, -18, -39, -190, -25, 438],
 [-752, -1079, -847, -999, 1523, 686, 810, -462, -1023, -147, -33, -414],
 [1042, -596, -77, 300, -1161, -643, 447, -633, 1543, 133, 479, -925],
 [359, 379, 133, 498, 295, -366, 30, 635, 73, 202, -307, -530],
 [-419, 95, -41, -93, 25, -115, -906, -213, -531, -116, 1, 897],
 [1327, 549, 1130, 209, -624, -335, 1037, -66, 552, -691, 49, 164]]

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[User]
What is the rank of the matrix:
[[586, -308, 548, 116, 310, 284, -96, 62, 136, 244, -170, -316],
 [257, -173, 614, 37, 468, -386, -339, 202, 6, 218, 399, -540],
 [-258, 103, 80, -63, 149, -564, -213, 123, -106, -12, 482, -206],
 [567, -285, 402, 117, 186, 450, 9, 0, 150, 198, -327, -168],
 [-244, 99, 60, -59, 127, -512, -189, 109, -98, -16, 436, -178],
 [-144, 47, 148, -39, 175, -456, -201, 117, -74, 24, 400, -226],
 [86, -7, -296, 31, -289, 556, 285, -167, 74, -76, -502, 358],
 [-530, 251, -224, -115, -39, -628, -129, 71, -162, -140, 498, -6],
 [45, -7, -122, 15, -122, 246, 123, -72, 34, -30, -221, 152],
 [341, -197, 494, 61, 336, -74, -195, 118, 54, 194, 123, -372],
 [-418, 260, -788, -68, -574, 340, 384, -230, -40, -292, -382, 652],
 [-153, 73, -70, -33, -16, -174, -33, 18, -46, -42, 137, 4]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[-695, 973, -1218, -672, 491, -671, -1392, -176, -259, -637, 858, 947],
 [-738, 541, -470, -1414, -570, 220, -1104, -248, -90, -1082, -54, 150],
 [1266, -234, -120, -1144, -184, 556, 429, 287, -934, -4, -592, -637],
 [298, 318, 17, -672, -260, 935, 404, 209, 560, -329, 951, 690],
 [-206, -888, -1149, -83, -233, 1010, 943, 6, -1650, 578, -2310, -123],
 [-19, -10, -833, 148, 1106, 624, 128, 221, -684, 1065, -821, 424],
 [-973, 49, 267, 87, -8, -1489, -1330, -429, 339, -467, 380, -33],
 [-91, -275, -636, -420, 167, 1405, 94, -55, 118, -175, -155, -1017],
 [585, -479, -1244, 131, 694, 268, 649, 179, -1740, 910, -1367, 115],
 [-1012, 891, 611, -717, -675, -983, -1446, 135, 1304, -1260, 1461, 471],
 [-525, -11, 335, -571, -62, -141, -907, -133, 901, -773, 1251, 409],
 [683, -405, -621, -356, -359, 1155, 906, 74, -871, 2, -1056, -1047]]

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[User]
Compute the rank of the given 12x12 matrix:
[[189, -147, 126, 420, 147, -84, -63, -378, -84, 399, 441, -210],
 [90, -70, 60, 200, 70, -40, -30, -180, -40, 190, 210, -100],
 [-171, 133, -114, -380, -133, 76, 57, 342, 76, -361, -399, 190],
 [27, -21, 18, 60, 21, -12, -9, -54, -12, 57, 63, -30],
 [-63, 49, -42, -140, -49, 28, 21, 126, 28, -133, -147, 70],
 [-234, 182, -156, -520, -182, 104, 78, 468, 104, -494, -546, 260],
 [198, -154, 132, 440, 154, -88, -66, -396, -88, 418, 462, -220],
 [-180, 140, -120, -400, -140, 80, 60, 360, 80, -380, -420, 200],
 [-144, 112, -96, -320, -112, 64, 48, 288, 64, -304, -336, 160],
 [108, -84, 72, 240, 84, -48, -36, -216, -48, 228, 252, -120],
 [-180, 140, -120, -400, -140, 80, 60, 360, 80, -380, -420, 200],
 [234, -182, 156, 520, 182, -104, -78, -468, -104, 494, 546, -260]]

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[User]
Determine the rank of the following matrix:
[[755, -618, 143, 1756, 46, -1385, 779, -693, -1484, -1157, -541, -521],
 [810, -254, 714, 405, 1028, 36, -782, 89, 1094, 840, -413, 70],
 [-318, -1046, -489, 900, 769, -49, -360, 170, 216, -273, -244, 1352],
 [34, 134, 526, 86, -330, 714, 345, -5, -697, -651, 134, -474],
 [-165, 623, -197, -1281, 208, 1458, 5, 609, 453, 877, 396, 779],
 [-489, -759, -320, -139, -1027, -1659, 347, -684, -226, -602, -1000, -1425],
 [890, -222, 61, 474, 635, 141, 149, 244, 329, 224, -1072, 626],
 [140, 156, 1433, 378, 75, 395, -1318, 664, 1079, 761, -926, 1097],
 [-227, -803, -1900, -347, -24, -251, 1708, -658, -925, -803, 369, -289],
 [-880, -468, 1075, -865, -721, -1286, -775, -606, -444, 75, -779, -1398],
 [-814, -753, -107, -57, 410, -273, -542, 39, -321, 62, 78, 228],
 [-511, 92, -1390, -176, 177, 702, 723, 646, -871, -310, 475, 820]]

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[User]
Calculate the rank of matrix A where A =
[[-481, -241, -689, 336, 19, 176, 357, -41, -207, -516, -669, -185],
 [-386, 976, 683, -318, 272, 172, 264, 62, 369, -123, 336, 215],
 [-487, 1156, 613, -330, 17, 311, 68, -130, 587, 91, 433, 510],
 [443, -1020, -269, 234, 459, -427, 340, 426, -755, -475, -469, -850],
 [-78, -333, -391, 196, -4, 3, 113, 7, -197, -206, -340, -170],
 [-209, -479, -796, 354, -259, 124, 3, -169, -168, -159, -531, -40],
 [-734, 332, -215, 142, 360, 232, 684, 110, -85, -765, -536, -215],
 [-305, -368, -638, 316, 13, 91, 272, -12, -254, -422, -595, -225],
 [-623, 1279, 412, -290, -317, 484, -163, -375, 808, 319, 467, 840],
 [-87, 934, 825, -414, 65, 105, -86, -28, 487, 281, 641, 400],
 [-143, -266, 115, 94, 925, -251, 938, 600, -635, -1025, -547, -930],
 [447, -536, -185, 74, -225, -171, -352, -50, -135, 325, 63, -30]]

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[User]
Find the rank of the matrix:
[[-305, 1406, 591, -416, -671, -151, -190, -1011, 905, -316, -241, 862],
 [125, 1154, -1117, -1180, 29, -457, 659, -821, -817, -306, -1452, 393],
 [143, 633, 602, 201, -441, 463, -221, 389, 160, -106, 373, 282],
 [452, 1255, -667, -225, 791, 206, 707, -75, -998, -911, -645, 622],
 [624, 1372, -346, -144, -486, 450, 455, -438, -743, 14, -716, 293],
 [-941, -161, 718, 77, -550, -343, -700, 50, 584, 95, 620, -341],
 [162, -26, 267, -326, -449, 302, -91, 82, 467, 137, -71, 339],
 [162, -563, 234, 799, 1205, -168, -76, 769, 177, -451, 889, 36],
 [504, 61, 705, 349, -397, 1074, -63, 345, 480, 1, 375, 504],
 [791, -1006, -901, 906, 1992, -703, 519, 532, -642, -111, 317, -421],
 [1080, -1076, -1157, -36, 273, 850, 976, -521, -761, 595, -1051, -189],
 [-365, -659, 425, 221, 206, 231, -240, 310, 410, -209, 514, -2]]

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[User]
Calculate the rank of matrix A where A =
[[244, 312, 253, 713, 430, 669, -753, -681, 1562, -69, 75, 77],
 [2026, -93, 1321, -424, 114, -883, 175, -133, 935, 249, 1476, 919],
 [462, -531, 1101, 967, 407, -7, -718, 7, -248, 577, 1292, -167],
 [-538, 780, -253, -159, -734, -1532, -698, -953, 860, 663, 211, 661],
 [-73, -310, 646, -899, -479, 910, 1120, 809, -274, -1120, -809, -150],
 [-146, 251, 1140, 114, -964, 1383, 1138, 1562, 674, -2260, -832, 984],
 [-867, 1049, -560, -690, -551, -166, 411, 235, -1349, -48, -672, 133],
 [501, -667, 347, -728, 232, 752, 727, 368, -844, -351, 523, -257],
 [884, -1795, 1208, -231, 1109, 638, 604, 92, 7, 103, 851, -688],
 [1178, -16, 76, -754, 573, -345, 503, -4, -570, 518, 870, 293],
 [397, -912, 748, 146, 399, 702, -191, 215, -27, 374, 453, -537],
 [-175, 124, -399, -1056, -797, -1360, 710, -24, 2, -109, 328, 997]]

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[User]
Compute the rank of the given 12x12 matrix:
[[1016, 1382, -477, -816, -1304, -97, 106, 200, 640, -708, 590, 289],
 [214, -297, 453, 390, 289, 217, 251, 382, 427, -174, 271, -88],
 [-718, -725, 380, 394, 807, -350, -281, 92, -151, 782, -411, -197],
 [-996, -597, 295, 797, 366, 19, 600, 96, -647, 253, -430, -42],
 [-234, 77, -204, -734, 341, -972, -1303, -194, 171, 1146, -407, -123],
 [-188, 76, -490, -214, -202, 195, -32, -589, -694, -124, -255, 86],
 [730, 800, -64, -471, -645, -225, -63, 387, 772, -277, 466, 116],
 [6, 247, -408, 8, -515, 492, 529, -382, -603, -624, -7, 171],
 [168, 134, -464, -210, -292, 466, 104, -554, -518, -470, -18, 102],
 [-24, -42, -323, -308, 72, 28, -392, -463, -330, 118, -185, -9],
 [510, 686, -439, -821, -475, -331, -609, -174, 298, 59, 121, 87],
 [252, -630, 56, 324, 450, 863, 196, -391, -296, -526, 123, -90]]

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[User]
Determine the rank of the following matrix:
[[-454, 91, -200, 386, -120, 171, -93, -310, 184, 53, -189, -241],
 [593, -598, 341, -266, 28, -850, -596, 976, 244, -385, -242, 495],
 [1380, -44, 13, -304, -268, 283, -979, 552, -863, -1100, 428, -539],
 [-670, -819, -761, 593, 359, -673, 321, -180, 1344, 766, -913, 265],
 [457, -441, -1313, 860, -21, -155, 212, 535, 628, 383, -1152, -73],
 [-62, 999, 171, -396, -358, 336, 204, 88, -781, 177, 129, -30],
 [405, 1107, -196, -260, -459, 270, 779, 602, -987, 471, -130, 239],
 [191, -724, 210, -66, 71, -757, -592, 456, 429, -334, -133, 270],
 [-17, 99, -463, 1490, -762, 340, -501, 518, -11, -585, -698, -386],
 [876, 917, -967, 397, -399, 848, 723, 552, -811, 311, -506, -273],
 [-434, 678, 298, -355, 123, 539, 867, -643, -449, 481, 554, 58],
 [313, 32, -564, 193, -488, 242, -673, -354, -624, -585, 353, -867]]

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[User]
Find the rank of the matrix:
[[-1049, -178, -250, -713, -1121, -614, 675, -51, 527, -168, -478, -850],
 [2086, 735, -1335, 1205, 1317, -450, -786, 576, 150, 106, -801, 1063],
 [0, -1535, 461, -748, -865, -538, 1078, -1069, 668, -529, -419, -58],
 [-1337, -128, 478, -895, -1495, -487, 891, 472, 32, 509, -123, -1638],
 [401, -640, -371, 1531, 754, 465, 57, 37, -481, 222, 256, 645],
 [-430, 340, -192, 857, -284, -194, 513, -28, 1083, 706, 911, -231],
 [624, 557, 34, 575, 630, 730, -1236, 1266, 394, 382, -1147, 1467],
 [1263, 250, 507, -44, 44, 234, -593, 627, 465, -332, -446, 960],
 [1197, 533, 459, -820, 421, 239, -745, 1436, 999, -436, -1561, 1154],
 [-475, -4, 594, -662, -218, 679, -600, -597, -592, 209, 59, 562],
 [-1770, -1492, 629, -307, -880, -439, 768, -1446, -855, -548, 690, -1231],
 [937, 41, -190, 682, 1300, 915, -1176, -11, -1478, 290, -283, 1309]]

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[User]
Calculate the rank of matrix A where A =
[[-51, 174, -516, -641, -413, -281, 834, -457, 135, -36, -451, 584],
 [961, 584, -36, 115, -100, 133, 484, 27, 1320, -522, 16, 668],
 [796, 900, -69, 28, -1032, 23, 136, 363, 661, 286, -1001, -216],
 [-78, 438, -429, -380, -953, 201, -22, 1150, -1031, 1054, -1236, 623],
 [-338, -854, 250, -704, 1548, -563, -128, -54, -600, -24, 835, 884],
 [143, -1068, 461, -537, 1212, -918, 416, -213, -186, 165, 245, 375],
 [-18, -60, 78, 132, 456, 12, 201, -1196, 877, -752, 771, -293],
 [-303, 621, 1277, -69, 1295, 62, 182, -607, -229, 766, 474, 134],
 [733, 389, -563, -731, -272, -456, 565, 442, 552, -378, -330, 1178],
 [-2011, 248, 243, -83, -138, -81, -1574, -288, -401, -732, 674, -1788],
 [-882, -397, -619, -373, -422, -299, 598, -522, -46, -679, 42, 16],
 [-532, 381, 946, -236, 595, -74, -1182, 1007, -634, 768, -129, -194]]

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[User]
Compute the rank of the given 12x12 matrix:
[[180, 423, 9, -9, -324, -81, -378, 153, 108, 63, -351, -342],
 [70, -251, -88, -182, 93, -3, 411, 4, -201, -181, 312, 284],
 [-4, 323, 73, 143, -168, -21, -438, 41, 192, 163, -351, -326],
 [-478, -597, 92, 250, 583, 179, 297, -336, 21, 93, 364, 380],
 [48, -275, -83, -169, 118, 5, 420, -11, -198, -175, 325, 298],
 [778, 471, -260, -622, -685, -257, 189, 480, -327, -399, -52, -116],
 [-646, -604, 169, 425, 681, 228, 129, -427, 147, 226, 273, 310],
 [-370, -177, 134, 316, 301, 119, -153, -222, 183, 213, -26, 8],
 [684, 167, -283, -653, -472, -209, 498, 389, -432, -473, 221, 146],
 [-8, 369, 85, 167, -190, -23, -504, 45, 222, 189, -403, -374],
 [-556, -254, 204, 480, 446, 178, -246, -332, 282, 326, -52, 0],
 [800, 495, -265, -635, -710, -265, 180, 495, -330, -405, -65, -130]]

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[User]
Compute the rank of the given 12x12 matrix:
[[611, 205, 524, -309, -152, 1143, -351, -933, -914, -1277, -1458, -33],
 [-810, -1847, -374, -583, -873, 1146, 456, 456, -868, -715, -1332, 668],
 [-490, -187, 671, 1213, -871, -948, -517, -78, 826, -1153, 804, 830],
 [1383, 397, -107, 169, 264, -330, -921, -497, 383, -293, -460, -1022],
 [-716, -755, -103, -388, -608, -712, 307, 1291, 1669, 846, 1268, 1402],
 [-433, 4, 899, 1385, -136, -132, -379, -163, 665, -200, 951, -666],
 [810, -16, 211, 832, -779, -355, -1372, -535, 492, -784, -492, 43],
 [-13, -913, -999, -932, 5, 392, -17, 841, -189, 1159, -445, -576],
 [-392, -646, -597, -462, -679, -123, 487, 761, 778, 381, 324, 869],
 [1577, 361, -52, -96, 1148, -890, -1003, -129, 473, 739, -256, -876],
 [-779, -168, 1152, -1209, 353, 220, 407, 576, 52, -36, 356, 1769],
 [-1141, -1342, 600, 712, -145, 582, 878, 376, 206, -317, 273, 122]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-94, 667, -922, -34, -106, -444, 1027, 168, -1184, -394, 365, 24],
 [514, -1356, 1368, 1087, -302, 1212, -1470, -145, 735, -679, 268, -134],
 [65, -1470, -158, 1525, -1509, 1291, -716, 186, -382, -228, 91, -597],
 [536, -478, -682, 743, -742, -448, -842, -411, 387, 1277, -334, -202],
 [-735, 756, 1177, -1405, 1532, 336, 886, 898, 178, -1116, -164, 729],
 [-685, -249, -411, -34, -945, 103, -776, -243, 750, 1312, -327, 180],
 [186, -1698, -416, 396, -746, -223, -1400, -1745, -97, -561, 507, -574],
 [-567, -312, -857, 12, -573, -105, 489, -61, 359, -104, 395, -530],
 [-1157, -413, 481, -629, -80, 674, 31, -192, -295, -22, 212, -715],
 [-694, -1103, 164, -401, -343, 299, -389, -1083, 263, 173, 285, -1468],
 [711, -1421, -302, 760, -547, 227, -495, -509, -150, -5, -417, -1057],
 [-829, -1801, 71, 166, -983, 930, -675, -726, 199, 366, 17, -1693]]

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[User]
What is the rank of the matrix:
[[36, 252, -342, 396, -450, -414, -216, -342, 54, 360, 216, -54],
 [24, 168, -228, 264, -300, -276, -144, -228, 36, 240, 144, -36],
 [12, 84, -114, 132, -150, -138, -72, -114, 18, 120, 72, -18],
 [-46, -322, 437, -506, 575, 529, 276, 437, -69, -460, -276, 69],
 [-18, -126, 171, -198, 225, 207, 108, 171, -27, -180, -108, 27],
 [-2, -14, 19, -22, 25, 23, 12, 19, -3, -20, -12, 3],
 [-4, -28, 38, -44, 50, 46, 24, 38, -6, -40, -24, 6],
 [16, 112, -152, 176, -200, -184, -96, -152, 24, 160, 96, -24],
 [24, 168, -228, 264, -300, -276, -144, -228, 36, 240, 144, -36],
 [-18, -126, 171, -198, 225, 207, 108, 171, -27, -180, -108, 27],
 [12, 84, -114, 132, -150, -138, -72, -114, 18, 120, 72, -18],
 [-18, -126, 171, -198, 225, 207, 108, 171, -27, -180, -108, 27]]?

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[User]
Find the rank of the matrix:
[[-191, -434, -403, 852, -1634, -201, 767, -52, -1016, -195, -507, -888],
 [228, 1201, -346, -307, -440, -30, -1515, -528, -509, -222, 492, -723],
 [-140, -242, -7, -458, -461, -283, -708, -125, -411, 195, 343, -577],
 [-412, -490, -401, 1671, -349, 409, 1557, 9, 188, -213, -163, 2],
 [-513, 241, -780, 625, -1645, 341, -516, -451, -1407, -489, -519, -900],
 [434, -589, -394, -679, -1519, -638, -156, 715, -440, 682, 1185, -1725],
 [668, 573, 693, 420, -559, -754, -347, -90, -775, 378, 605, -1030],
 [582, 546, 446, -443, 399, -471, 5, 256, 458, 435, 887, 121],
 [-574, -448, 256, -175, 311, -153, -406, -483, 3, 41, 14, 297],
 [323, 1452, -872, 576, 471, 582, -708, -662, 654, -766, 239, -226],
 [55, 1069, -392, 240, 1110, 412, -716, -906, 806, -800, -283, 505],
 [-462, 305, -25, 408, -205, 209, -220, 61, -13, 567, 1599, -78]]

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[User]
What is the rank of the matrix:
[[489, 115, -747, 1131, -327, 1410, 1001, -363, 82, 479, 140, 48],
 [-1144, -1449, -949, -312, -811, -445, -1084, 287, -1127, 698, -1055, 299],
 [-379, -290, -97, -966, -145, -1498, -240, 593, -160, 125, -549, -273],
 [-882, -133, -139, -505, 244, -327, 361, 251, 930, -298, 139, -1009],
 [-1583, 1009, -591, 815, 562, 506, 782, -583, 504, -668, 1617, -1074],
 [-401, 689, 295, 617, 368, 819, -351, -1849, -44, 166, 532, -506],
 [-228, 1097, 490, 726, -251, -374, 375, -520, 778, -1644, 1050, -203],
 [-517, 412, -1535, 1227, -476, 1584, 815, 518, -662, -8, 211, -942],
 [182, 537, 267, 1031, -80, 645, -822, -492, 302, 631, 32, -180],
 [184, 1138, -504, 1311, -127, 1619, 411, -845, -438, -180, 674, -391],
 [40, -720, 92, 249, -146, -421, -818, -906, -633, 1338, -493, 710],
 [135, -350, 395, -1218, 769, 374, -305, 982, 478, 147, -395, -180]]?

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[User]
Calculate the rank of matrix A where A =
[[503, 18, -571, -333, -332, 669, -559, 214, 761, -911, -480, -673],
 [-755, 1121, -105, -134, 397, 1450, 529, 364, -1, -700, 49, -28],
 [363, 432, 490, 915, 700, 676, 419, 134, -447, 236, 64, 1],
 [-598, 457, 21, -161, -537, 178, 116, 12, 34, -60, 133, 449],
 [684, -1080, 418, 187, -1115, -453, -1125, -95, -163, 630, -503, -226],
 [-474, 459, 296, 294, 743, -725, 514, -294, 61, 456, 913, 697],
 [-406, 610, -1012, -969, 53, 789, 131, 259, 855, -1384, -187, -442],
 [-88, -621, -173, -719, -365, 549, -754, 248, -34, -335, -634, -802],
 [785, -434, 279, 490, -321, -739, -814, -269, 546, 394, 194, 42],
 [-1099, 265, -336, -914, 1005, -443, 257, -126, 433, -303, 733, 44],
 [375, 293, 473, 1014, -137, 121, 751, 0, -825, 593, -82, 565],
 [375, 641, 628, 1057, 520, 750, 64, 93, -62, 211, 258, 102]]

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[User]
Calculate the rank of matrix A where A =
[[-51, 51, 204, 102, 374, -102, -204, 340, 85, 170, 442, 68],
 [3, -3, -12, -6, -22, 6, 12, -20, -5, -10, -26, -4],
 [78, -78, -312, -156, -572, 156, 312, -520, -130, -260, -676, -104],
 [78, -78, -312, -156, -572, 156, 312, -520, -130, -260, -676, -104],
 [-45, 45, 180, 90, 330, -90, -180, 300, 75, 150, 390, 60],
 [72, -72, -288, -144, -528, 144, 288, -480, -120, -240, -624, -96],
 [-45, 45, 180, 90, 330, -90, -180, 300, 75, 150, 390, 60],
 [69, -69, -276, -138, -506, 138, 276, -460, -115, -230, -598, -92],
 [9, -9, -36, -18, -66, 18, 36, -60, -15, -30, -78, -12],
 [45, -45, -180, -90, -330, 90, 180, -300, -75, -150, -390, -60],
 [39, -39, -156, -78, -286, 78, 156, -260, -65, -130, -338, -52],
 [-39, 39, 156, 78, 286, -78, -156, 260, 65, 130, 338, 52]]

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[User]
Calculate the rank of matrix A where A =
[[590, 508, -270, -262, -2, 444, -398, -380, -348, 1030, 108, 282],
 [-86, -42, -201, -90, -150, 48, 142, -138, 143, -12, 113, 123],
 [-236, -122, -501, -220, -380, 108, 372, -338, 373, -62, 283, 303],
 [356, 302, -129, -140, 20, 252, -252, -202, -223, 602, 47, 147],
 [-439, -296, -414, -133, -383, -42, 511, -212, 495, -413, 249, 210],
 [-466, -322, -381, -110, -370, -72, 522, -178, 503, -472, 233, 183],
 [358, 276, 78, -30, 150, 156, -326, -36, -304, 486, -64, 6],
 [-94, -112, 276, 166, 146, -180, -18, 248, -34, -298, -142, -204],
 [251, 130, 531, 233, 403, -114, -395, 358, -396, 67, -300, -321],
 [-438, -396, 342, 270, 90, -396, 246, 396, 204, -846, -156, -306],
 [-454, -362, -9, 86, -134, -240, 382, 118, 351, -668, 33, -69],
 [20, 30, -105, -60, -60, 60, 20, -90, 25, 90, 55, 75]]

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[User]
Find the rank of the matrix:
[[-89, 251, 197, 382, -537, -741, 367, 280, -205, 987, -411, 627],
 [-361, 940, 807, 439, -440, -964, 279, -483, 250, 488, -1138, 341],
 [162, 443, 45, -4, -382, -316, -72, -34, 269, 362, -559, 643],
 [510, -686, -890, -425, 77, 655, -222, 683, -207, 69, 804, 252],
 [34, 410, -18, 23, -343, -461, 222, 219, -55, 721, -452, 484],
 [57, -140, -224, -203, 200, 268, -33, 101, -75, -156, 246, -222],
 [108, 380, -699, -582, 66, -114, 494, 780, -501, 982, -68, 1],
 [312, 6, -803, -765, 355, 561, -42, 445, -136, -1, 308, -221],
 [-560, 727, 1134, 846, -534, -1180, 388, -566, 132, 526, -1043, 296],
 [226, -93, -289, -208, -2, 232, -164, 134, 75, -50, 121, 173],
 [-158, 704, -78, -692, 658, 342, 10, -400, 190, -622, -352, -926],
 [163, 103, 90, -210, 183, 443, -539, -566, 588, -929, -131, -88]]

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[User]
Calculate the rank of matrix A where A =
[[294, 663, -1601, -783, -259, -804, -82, -126, -1223, -640, -370, 260],
 [526, 732, 2112, 261, 274, 11, 434, -339, 450, -753, -1015, 484],
 [672, -236, 847, -410, 223, -396, 564, -34, -211, -511, -500, -204],
 [143, -1429, 798, 1402, 120, 1281, -462, 122, 2342, -997, 692, -373],
 [-194, 367, -525, -763, 458, -1085, 272, 178, -1956, -93, 281, 805],
 [719, -948, 1709, -734, 38, -727, 1208, 754, -547, -333, -695, -972],
 [1068, -2423, 719, -671, -389, -1692, 1168, 113, -631, -26, 440, -598],
 [234, -523, 218, 179, 128, 248, 81, 179, 359, -659, -51, -341],
 [216, -1125, 610, -358, 193, -574, 216, 634, 230, 229, -319, -489],
 [-187, 803, 160, 596, 73, 736, -184, 177, 424, -354, -191, 111],
 [170, -388, -309, -555, -431, -433, 147, -789, -152, 1129, 188, -242],
 [943, -560, 718, -137, -377, -882, 175, -246, 664, -792, -1055, 15]]

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[User]
Find the rank of the matrix:
[[-17, -797, 505, 725, 435, 85, 341, 263, -571, -515, 237, -428],
 [-115, -201, -259, 74, -132, -200, -95, 373, -342, 227, -256, -380],
 [442, -331, 700, 589, 761, 154, 191, -101, -203, -636, 312, -39],
 [211, 802, 175, -538, -12, 307, -22, -808, 926, -113, 321, 913],
 [305, -184, -19, 298, 324, -241, -188, 370, -446, 41, -267, -427],
 [-572, -407, -554, -19, -579, -248, -13, 587, -475, 454, -342, -569],
 [838, 261, -170, 166, 594, -469, -601, 401, -402, 256, -587, -421],
 [785, 184, 467, 295, 809, -8, -164, -168, -1, -359, 50, 99],
 [89, -521, 677, 572, 502, 254, 385, -103, -196, -657, 438, -36],
 [-102, -138, 498, 136, 140, 364, 378, -406, 264, -490, 508, 360],
 [-486, -455, 606, 228, -56, 529, 675, -431, 236, -644, 739, 359],
 [395, 208, -457, -46, 112, -463, -524, 470, -358, 483, -621, -441]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-798, 347, 915, -1296, -890, -1188, -637, 1147, 1779, 136, 805, 103],
 [477, 902, -123, 491, 175, -41, 284, -477, -94, -95, 64, -832],
 [-149, 472, 1411, -1304, 189, -119, 100, 412, -60, 359, -84, 522],
 [324, 63, 45, 718, -752, -764, 163, -718, -282, 18, 662, -959],
 [176, 214, -14, 426, 1472, 967, 816, -324, -297, 722, -524, 557],
 [335, 148, 1366, -536, 148, -230, 384, -624, -1080, 346, 139, 365],
 [-238, 739, 66, -985, -733, -633, -939, 816, 1075, -855, 240, -288],
 [409, 558, 487, -778, 111, 124, -340, -175, -766, -717, -319, 229],
 [197, 898, -425, 522, 943, 437, 394, -121, 567, 213, -159, -246],
 [-390, 427, -863, -512, 200, 454, -681, 1118, 1222, -646, -494, 133],
 [479, 19, -918, 1062, 239, -10, -143, -926, -225, -559, 254, -112],
 [2, -188, -356, 707, 434, 197, 384, -286, 134, 428, 73, 51]]

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[User]
Determine the rank of the following matrix:
[[368, 634, 898, -780, -575, -19, -74, -143, -635, 357, -311, -458],
 [1173, 1401, 71, 240, -481, -583, 181, 130, 145, 607, 398, -1111],
 [-680, -632, -240, 442, -238, 641, -598, 25, 1159, -1195, -36, 69],
 [-889, -729, -544, 209, 459, 163, 549, 304, -291, -243, 375, 1388],
 [-464, -404, 542, -366, -1163, 711, 162, 415, 319, -73, -69, -360],
 [46, -917, -544, 94, 949, -63, -388, -571, 285, 235, -591, 34],
 [114, 226, -187, 136, 538, -350, 52, -90, -362, 24, 130, 341],
 [-52, 21, -100, -258, 503, -328, 560, 14, -966, 562, 121, 797],
 [499, 83, 880, -830, -937, 413, -631, -458, 373, 325, -876, -1314],
 [907, 418, 52, 43, 488, -708, 111, -117, -502, 964, -102, -826],
 [712, 197, 464, -1135, -529, 129, -118, -725, -161, 1085, -876, -540],
 [-1053, -982, 94, -85, 431, 268, 259, 315, -672, -368, 45, 1023]]

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[User]
What is the rank of the matrix:
[[-244, 1757, 425, 111, -753, 667, 841, 517, -123, 1888, -224, 580],
 [1075, -627, -381, -76, -151, -1054, 451, -314, -198, -108, -638, 161],
 [379, -306, -45, 1242, -771, -1090, -1001, -294, 558, 289, 19, -68],
 [-1696, 813, -1304, -827, 1311, 15, 1437, 605, 685, -870, -440, 131],
 [-874, -292, -1298, -273, 90, -465, 272, -34, 836, 403, 283, 847],
 [-26, -578, -1427, -42, 969, -307, 601, -264, 194, -735, -727, -408],
 [-58, -170, -115, -468, 473, 1403, 1050, -521, -693, 585, 775, 46],
 [-485, -194, -492, 352, -499, -726, -693, 332, 316, 731, 855, 587],
 [-260, 862, 1384, -767, -766, 1073, -283, 143, -847, 835, 847, -565],
 [-935, -255, -887, -233, 702, 497, 19, 1416, 1946, -1543, 467, 39],
 [-842, 1082, 206, -79, -460, 579, -336, 59, 437, 18, -421, -1230],
 [335, 777, 112, -187, -1026, -464, 720, -457, -1136, 1351, -803, 242]]?

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[User]
Determine the rank of the following matrix:
[[4, -325, 1567, -540, -469, -794, 852, -267, 843, 130, 899, 711],
 [358, 222, -381, 382, 365, -904, -597, -189, 94, -541, 399, 181],
 [55, -198, -85, 74, 396, -14, -336, 615, -658, -197, -101, -230],
 [-544, -116, -831, 573, -135, -105, -1207, 21, -104, -67, 239, 658],
 [405, 95, -664, 19, 404, -213, -1563, 881, 182, -905, 244, 620],
 [341, 315, -684, 33, 417, 404, -159, 257, -474, -320, -604, -802],
 [191, 445, -211, -59, 596, -204, -517, -25, 171, -392, -136, -340],
 [-200, -429, -354, 78, -350, 967, 118, -99, 296, 550, -994, 80],
 [48, -638, -807, 1040, 53, 158, 557, -865, -388, 747, -1329, -487],
 [-440, -281, -469, 379, -895, 474, 149, -458, 200, 587, -23, 654],
 [-176, -321, 722, -380, -844, 279, 1651, -296, -283, 383, -21, -571],
 [-229, -39, -1494, 471, -1108, 977, 43, -693, 304, 243, -748, 86]]

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[User]
Find the rank of the matrix:
[[206, 144, -96, 250, 348, -14, -374, 520, -410, 398, -100, -352],
 [11, -156, -60, 355, 276, -419, -143, 388, -533, 497, -250, -274],
 [161, 114, 282, 124, -3, 331, -473, 220, -89, 44, 134, -313],
 [-1, -194, -230, 434, 429, -651, -59, 508, -707, 682, -386, -281],
 [125, 20, 20, 273, 240, -85, -329, 412, -395, 363, -102, -330],
 [126, 189, 446, -148, -306, 696, -393, -146, 364, -397, 367, -111],
 [-402, -398, 348, -282, -648, -82, 540, -860, 562, -584, 138, 482],
 [424, 321, -84, 443, 597, 134, -805, 962, -700, 670, -107, -698],
 [441, 584, -412, 17, 540, 391, -441, 660, -207, 271, 22, -290],
 [-297, -433, 188, 86, -243, -437, 306, -318, -33, -11, -119, 142],
 [-302, -298, -416, -84, 30, -702, 752, -300, -6, 58, -294, 440],
 [389, 441, -374, 167, 582, 169, -452, 738, -405, 444, -83, -373]]

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[User]
Find the rank of the matrix:
[[-499, 85, -28, 597, -346, 227, 579, -814, 370, 549, 608, -147],
 [-336, -613, -146, -544, 391, 512, 342, 151, 1226, 416, 335, 88],
 [-339, 1854, -595, 1166, -1727, 1077, 750, 603, -748, 715, -994, -970],
 [699, -655, -63, -764, 651, 123, -131, -934, 859, 803, -698, 379],
 [-166, 600, -563, 56, -411, -403, 564, 96, -622, -647, -1190, 81],
 [-170, -834, 352, -433, 676, -696, -434, 423, 307, -716, 664, 390],
 [1016, -308, 345, 260, 659, 483, -406, -300, -840, 467, 232, -49],
 [-57, -16, 5, 814, -77, -179, 88, -774, -476, 67, 604, 109],
 [244, 569, -360, 56, -222, -326, 197, 538, -1037, -672, -1302, 2],
 [1099, -432, 700, -582, 737, 663, -644, -222, 71, 877, 110, -222],
 [658, -1624, -263, -945, 1700, -499, -405, -505, 340, -545, 141, 1130],
 [-9, -328, 293, -906, 209, -654, -371, -455, 786, -190, -101, 263]]

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[User]
Determine the rank of the following matrix:
[[-126, -188, -112, -5, 184, 190, -292, 47, -10, 514, -449, 1068],
 [-16, -1023, -281, -195, 367, -475, 1257, -472, -258, 358, 135, -157],
 [144, -389, -194, 118, 458, 182, 868, -55, -419, 638, -304, 275],
 [844, -7, -278, 913, -286, 778, -138, 348, -333, 472, -317, -573],
 [-577, -650, -47, -367, 599, -254, 338, -332, 220, 46, 53, 1043],
 [144, -291, -222, -130, -214, -183, -65, -46, -267, 770, -502, 466],
 [55, 163, 164, 318, 394, 293, 697, 18, 62, -748, 616, -960],
 [723, -395, -349, 403, -455, 29, 311, 6, -437, 596, -213, -819],
 [413, 699, 112, 198, -386, 186, -90, 291, -262, -40, -58, -865],
 [69, 681, 185, -34, -669, -50, -1062, 230, 233, -366, 36, -324],
 [-437, -239, 107, -408, 301, -425, 415, -289, 195, -386, 368, 69],
 [-5, -78, 22, 388, 568, 521, 451, 65, 35, -230, 188, 5]]

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[User]
Determine the rank of the following matrix:
[[-132, -110, -330, -220, 88, 572, 220, -418, -198, 0, -462, -264],
 [36, 30, 90, 60, -24, -156, -60, 114, 54, 0, 126, 72],
 [90, 75, 225, 150, -60, -390, -150, 285, 135, 0, 315, 180],
 [-150, -125, -375, -250, 100, 650, 250, -475, -225, 0, -525, -300],
 [-24, -20, -60, -40, 16, 104, 40, -76, -36, 0, -84, -48],
 [144, 120, 360, 240, -96, -624, -240, 456, 216, 0, 504, 288],
 [96, 80, 240, 160, -64, -416, -160, 304, 144, 0, 336, 192],
 [12, 10, 30, 20, -8, -52, -20, 38, 18, 0, 42, 24],
 [-54, -45, -135, -90, 36, 234, 90, -171, -81, 0, -189, -108],
 [48, 40, 120, 80, -32, -208, -80, 152, 72, 0, 168, 96],
 [-102, -85, -255, -170, 68, 442, 170, -323, -153, 0, -357, -204],
 [72, 60, 180, 120, -48, -312, -120, 228, 108, 0, 252, 144]]

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[User]
Calculate the rank of matrix A where A =
[[-546, 338, 364, -442, 208, 390, -104, -182, -364, 104, 468, 286],
 [231, -143, -154, 187, -88, -165, 44, 77, 154, -44, -198, -121],
 [-273, 169, 182, -221, 104, 195, -52, -91, -182, 52, 234, 143],
 [-483, 299, 322, -391, 184, 345, -92, -161, -322, 92, 414, 253],
 [105, -65, -70, 85, -40, -75, 20, 35, 70, -20, -90, -55],
 [-126, 78, 84, -102, 48, 90, -24, -42, -84, 24, 108, 66],
 [420, -260, -280, 340, -160, -300, 80, 140, 280, -80, -360, -220],
 [336, -208, -224, 272, -128, -240, 64, 112, 224, -64, -288, -176],
 [483, -299, -322, 391, -184, -345, 92, 161, 322, -92, -414, -253],
 [-525, 325, 350, -425, 200, 375, -100, -175, -350, 100, 450, 275],
 [-42, 26, 28, -34, 16, 30, -8, -14, -28, 8, 36, 22],
 [231, -143, -154, 187, -88, -165, 44, 77, 154, -44, -198, -121]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-158, 267, 9, 565, 182, 187, 126, -151, 285, 152, -510, -328],
 [912, 417, 682, 235, -209, 473, 357, 78, -546, -579, -179, 280],
 [0, 202, 230, 160, -245, 405, -34, 204, -258, -77, -362, -12],
 [-491, -437, -298, -1159, 159, -683, -994, 125, -666, 465, 697, 254],
 [690, -51, 50, -121, -357, 149, 639, 292, 198, -507, 509, 316],
 [-974, -569, -272, -167, -375, -9, -421, -12, 126, 168, -237, -78],
 [-266, -336, -340, -590, 499, -791, -500, -302, -66, 380, 568, 46],
 [609, -471, 138, 347, -795, 379, 1160, -23, 726, -1035, 211, 354],
 [-413, -205, -38, 613, 165, -67, 128, -615, 516, -8, -533, -288],
 [-40, -412, -382, -806, -605, -13, 60, 722, 72, -102, 814, 350],
 [-557, 330, 110, -398, 356, -94, -1139, 131, -990, 704, -338, -150],
 [30, 1243, 280, 257, 527, 469, -617, 516, -834, 778, -701, -438]]

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[User]
Compute the rank of the given 12x12 matrix:
[[566, 857, 425, 622, 755, 484, 666, 635, -348, -375, 344, -962],
 [224, -49, -160, -292, -317, -222, -583, -342, 696, 380, -924, -546],
 [163, -193, 797, 253, -1060, -33, 117, 498, -609, -1055, 33, -192],
 [327, 161, -184, 7, 269, 334, 294, 96, -27, 120, 26, -165],
 [-542, -116, -150, -192, 254, -815, -774, -611, 439, 490, -399, 322],
 [189, 55, -48, -62, -128, 151, 45, 6, -61, 109, -41, -123],
 [516, -624, -292, -592, -39, -1387, -838, -880, 76, 467, -1621, 210],
 [520, -710, -149, -481, -380, 128, 916, 191, -932, 797, 836, -280],
 [402, -8, 1054, 340, -1032, -741, -422, 203, -885, -1326, -749, -68],
 [-345, -898, 362, -306, -1287, -557, -388, -55, 37, -302, -213, 92],
 [74, -787, 174, -237, 267, -1267, -32, -219, -231, 254, -327, -196],
 [764, 267, -398, -75, 670, -581, -370, -629, -682, -174, -1169, 1089]]

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[User]
Calculate the rank of matrix A where A =
[[-233, -83, -175, 614, -188, 62, 153, -771, -105, 151, 424, -105],
 [-534, 1142, 1158, -798, 114, 214, -752, 1150, 228, -1214, 298, -574],
 [-441, 187, -931, 300, 1483, 129, 719, -522, 98, -696, 203, -887],
 [102, -755, 510, -851, -1, 177, 988, 960, 555, -1516, 614, -1028],
 [43, 777, -358, 878, 73, -1125, -944, -170, -135, 1603, -561, -274],
 [-295, 1425, 571, -1385, 542, -555, -1056, 1435, -580, 99, -111, -353],
 [-97, -1329, -704, 15, -340, -239, 759, -271, 539, -350, 453, -650],
 [200, 4, 31, -775, 353, 672, 44, 53, -718, 171, -110, 980],
 [-89, -475, -953, 1609, 41, 527, -1, -2039, -307, 1253, 55, 820],
 [-256, -144, 173, 6, -233, 813, 131, -673, -389, -231, 575, 562],
 [-47, -442, -989, 32, -113, 107, 55, -1030, -673, 936, -110, 1066],
 [-104, 361, 32, 356, 131, 71, -430, -645, -892, 1241, 478, 165]]

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[User]
Determine the rank of the following matrix:
[[338, -130, 78, 221, 221, -156, 104, -169, -338, 247, -169, 143],
 [-78, 30, -18, -51, -51, 36, -24, 39, 78, -57, 39, -33],
 [-104, 40, -24, -68, -68, 48, -32, 52, 104, -76, 52, -44],
 [-26, 10, -6, -17, -17, 12, -8, 13, 26, -19, 13, -11],
 [-572, 220, -132, -374, -374, 264, -176, 286, 572, -418, 286, -242],
 [182, -70, 42, 119, 119, -84, 56, -91, -182, 133, -91, 77],
 [676, -260, 156, 442, 442, -312, 208, -338, -676, 494, -338, 286],
 [650, -250, 150, 425, 425, -300, 200, -325, -650, 475, -325, 275],
 [-338, 130, -78, -221, -221, 156, -104, 169, 338, -247, 169, -143],
 [-78, 30, -18, -51, -51, 36, -24, 39, 78, -57, 39, -33],
 [286, -110, 66, 187, 187, -132, 88, -143, -286, 209, -143, 121],
 [156, -60, 36, 102, 102, -72, 48, -78, -156, 114, -78, 66]]

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[User]
Calculate the rank of matrix A where A =
[[167, 368, 620, 883, 24, -418, -149, -135, 386, -162, -735, 616],
 [613, -183, -240, 417, 506, 506, 682, 585, -221, 587, 29, -207],
 [5, 36, -349, -524, 266, -66, -262, 159, -195, 86, 423, -600],
 [469, -247, 368, -79, 556, -1202, -306, -439, -247, 143, 355, -383],
 [445, -383, 925, 282, 214, -1502, -139, -699, -98, 39, 19, 77],
 [292, 194, -562, 226, 786, 52, -300, -376, -58, -34, 198, 154],
 [253, -283, 156, 109, -177, 440, 771, 794, -149, 505, -88, -329],
 [-148, -425, 88, 104, -714, 920, 987, 490, -29, 247, -198, 239],
 [-743, 57, -615, -550, -676, 1114, 94, 124, 87, -293, 101, 171],
 [330, 475, 243, 269, 543, -682, -542, 194, 113, 45, -203, -325],
 [204, -365, -598, 18, 36, 1220, 949, 646, -269, 503, 200, -133],
 [-718, -12, 344, -334, -853, -218, -319, -559, 244, -570, -141, 450]]

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[User]
Calculate the rank of matrix A where A =
[[16, 2, -25, 13, 14, 17, 24, -12, 26, -23, 15, -14],
 [-416, -52, 650, -338, -364, -442, -624, 312, -676, 598, -390, 364],
 [-272, -34, 425, -221, -238, -289, -408, 204, -442, 391, -255, 238],
 [-64, -8, 100, -52, -56, -68, -96, 48, -104, 92, -60, 56],
 [128, 16, -200, 104, 112, 136, 192, -96, 208, -184, 120, -112],
 [-192, -24, 300, -156, -168, -204, -288, 144, -312, 276, -180, 168],
 [416, 52, -650, 338, 364, 442, 624, -312, 676, -598, 390, -364],
 [288, 36, -450, 234, 252, 306, 432, -216, 468, -414, 270, -252],
 [-304, -38, 475, -247, -266, -323, -456, 228, -494, 437, -285, 266],
 [-400, -50, 625, -325, -350, -425, -600, 300, -650, 575, -375, 350],
 [-112, -14, 175, -91, -98, -119, -168, 84, -182, 161, -105, 98],
 [224, 28, -350, 182, 196, 238, 336, -168, 364, -322, 210, -196]]

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[User]
Find the rank of the matrix:
[[539, -341, -689, -359, 120, -370, 13, 152, -617, 247, 7, 383],
 [786, -444, -800, -540, 750, 54, -218, 460, -261, 196, 713, -179],
 [159, 31, 665, 595, -222, -128, 1231, -330, 300, -221, 422, 344],
 [-371, -286, -260, -943, -172, -61, -737, 263, 7, 219, -509, 433],
 [388, -651, -1033, 38, -330, 130, -305, 280, -390, -150, -344, -67],
 [-982, 602, 1029, -556, 444, 492, -778, 71, 994, 59, 174, -476],
 [707, -414, -835, 445, -46, 12, 210, 113, -493, -144, 101, -198],
 [14, -682, -218, -1394, 542, 417, -591, 685, 700, 130, 610, 145],
 [230, 13, 8, 342, 624, 721, -148, 248, 566, -293, 838, -1040],
 [-866, -74, 446, -1132, 110, 440, -954, 354, 891, 84, -119, 37],
 [-221, 439, 998, -67, 238, -210, 633, -271, 398, 122, 452, 326],
 [245, -717, -525, -889, -374, -517, 172, 189, -381, 265, -323, 1162]]

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[User]
What is the rank of the matrix:
[[327, -1101, -320, -677, -1361, -1257, -178, 333, -1599, 713, -1331, 190],
 [687, -395, -236, 156, 711, 277, 82, 785, 1083, 510, -82, 272],
 [129, -971, -783, -735, -29, -375, -281, 412, -450, -486, -246, 203],
 [-18, 469, 150, -260, -274, 96, -154, -648, -409, -246, 367, -536],
 [468, 78, 1400, 571, -954, 674, 320, 498, -608, 593, -349, 282],
 [206, 247, -316, -600, 604, -1244, -490, -552, 541, 190, -109, 94],
 [-536, 130, -945, 376, 469, 500, 308, -146, 550, -86, 407, -595],
 [178, 62, -624, -580, 856, -102, -376, -280, 660, -558, 560, -216],
 [132, -1104, -787, -668, 176, -292, -257, 643, -235, -579, -241, 425],
 [-1063, 926, 13, 491, 253, -385, 145, -906, 245, -142, 243, -155],
 [-362, 489, 38, 704, -150, 1212, 480, -152, 67, -30, 551, -692],
 [258, -272, 1129, 692, -306, 1076, 382, 1003, -65, -7, -99, 711]]?

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[User]
What is the rank of the matrix:
[[-300, -652, -297, -382, -61, -448, -587, 13, 518, 320, 875, -308],
 [274, 354, 739, 560, -363, 279, 236, 166, -821, -957, -840, 238],
 [533, 387, 753, 82, -232, 745, 1146, -431, -504, -339, -133, -435],
 [-258, 909, -155, 408, 461, 575, -62, -71, -439, -769, -470, 699],
 [273, -28, -1002, -150, 545, 279, 131, 13, -365, 59, -863, 833],
 [69, -1613, -312, -259, 225, -1050, 59, -231, 237, 1362, 854, -653],
 [-1224, 255, -731, 754, 755, -592, -1875, 482, -210, -894, -107, 1283],
 [803, 982, -1298, -1439, -791, 277, 700, 143, 931, -235, 346, 671],
 [849, 618, -340, -558, -1369, -584, 547, 415, -8, -1219, 249, 807],
 [170, -1314, 645, -50, 371, -23, 621, -509, 159, 1746, 275, -1488],
 [-1120, 309, -124, 200, 140, -448, -1577, 390, 715, -265, 670, 184],
 [-467, -448, 470, 1017, 659, 0, -626, 75, -916, -249, -858, 177]]?

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[User]
Calculate the rank of matrix A where A =
[[461, -256, -127, -327, 218, -282, 30, 175, 373, -47, -1087, -474],
 [-996, 798, -624, 420, 61, 863, 645, 249, -408, 432, 1371, 1231],
 [-1020, -191, -652, -308, 1716, 1037, -65, 1396, -151, 681, -245, 452],
 [160, -141, -633, -942, -787, -1128, 1047, -659, 1212, 348, -999, -327],
 [-900, 738, -240, -1216, -432, -365, 665, -733, 668, 410, 121, 635],
 [-721, 98, -327, -1095, -941, -1328, 724, -783, 1509, -117, 431, -94],
 [344, 24, -104, 1510, 917, 1435, -709, 1115, -1662, 378, -469, 353],
 [-551, -324, 454, -805, 430, -63, -604, -160, -92, 458, -433, -107],
 [976, 154, 1041, -109, 516, 669, -393, -184, -502, -780, 393, -179],
 [625, -176, -110, 29, 469, 416, 151, 265, -296, 254, -888, -130],
 [179, -960, 734, -122, -298, -503, -771, -611, -415, 479, -532, -649],
 [570, -391, 575, 1115, -210, 396, -582, -112, -1083, -45, 526, -143]]

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[User]
What is the rank of the matrix:
[[-40, 250, -111, -768, -263, -220, -175, -575, 253, -255, 99, -455],
 [242, -56, 209, 30, 467, 514, -29, 19, 497, 257, -223, -167],
 [164, -452, 154, 288, -430, 324, -190, 694, 130, 390, -426, 54],
 [-283, 784, -304, -834, 408, -641, 176, -1301, -104, -723, 684, -307],
 [-78, 534, -149, -924, 187, -278, -45, -1023, 303, -435, 321, -523],
 [-121, -77, -92, 135, -339, -243, 9, 187, -330, -62, 55, 178],
 [164, -602, 183, 600, -481, 368, -153, 1003, -21, 499, -491, 251],
 [398, -569, 349, 279, -172, 798, -280, 793, 607, 660, -696, -132],
 [-221, 173, -219, -321, -426, -515, -22, -280, -317, -329, 250, -33],
 [203, -14, 178, 36, 484, 441, 4, -29, 422, 203, -160, -133],
 [-373, 304, -321, -120, -259, -763, 165, -368, -681, -500, 499, 212],
 [-169, 532, -189, -588, 309, -391, 109, -896, -13, -472, 443, -240]]?

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[User]
Calculate the rank of matrix A where A =
[[692, 51, -1053, 237, 97, 464, -1352, -774, -14, -634, -480, 8],
 [-1027, 12, -467, -514, -376, -386, -193, -656, -574, -177, -1484, 571],
 [366, -486, 860, 169, 122, 107, 528, 906, 944, 301, 180, 0],
 [-10, -193, -116, -978, -182, -105, -15, -1229, 539, 539, 13, -692],
 [776, -1160, 174, -394, -1077, 718, 435, 460, 1295, -144, -351, -29],
 [232, -17, -872, -445, -255, -80, -624, -745, -92, -416, -646, 91],
 [757, -352, 58, -852, -400, 1119, -846, -705, 222, 1225, -1273, -984],
 [-41, -514, 168, -45, -233, -407, 1104, 1264, 260, -644, 253, 651],
 [385, -521, -1086, -896, -773, -478, 504, 222, -10, -1126, -259, 535],
 [-874, -189, 156, -261, -524, -252, 395, -312, 66, 6, -551, 336],
 [-1078, -119, -251, 835, -115, 132, -454, -771, 183, -768, -360, 670],
 [-433, 931, 685, 357, 476, -85, 25, -525, -567, 1006, 1160, -771]]

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[User]
Calculate the rank of matrix A where A =
[[115, -93, 26, -932, -489, -30, 559, -780, -478, -187, -881, -559],
 [179, -895, -469, -269, -256, -22, -158, 616, 350, -325, 570, -1262],
 [-726, 199, -99, -1507, 779, 290, 830, -670, 318, -141, 87, -1064],
 [-307, -1235, -100, -321, 896, -197, -339, -145, 1062, 392, 44, -1413],
 [1417, -116, -376, 758, -1391, -342, -76, 1692, -998, -930, -692, -401],
 [1116, -467, 227, 1325, -745, -283, -1273, 1534, -234, -589, -145, 616],
 [1533, 1071, -97, 148, -847, -808, 447, 781, -1271, -142, -951, 1020],
 [139, -657, -459, 66, 688, -617, 127, 2, 666, 739, -31, -856],
 [-390, -591, -760, 282, -359, 157, 489, -882, 551, 1235, 161, -672],
 [-683, -287, -127, 591, 1446, -11, -77, -467, 1082, -30, -350, -278],
 [1181, -224, 389, 339, -558, -330, -1071, 267, 123, 277, -755, 1068],
 [-92, -1328, 457, -254, 377, -44, -679, -1203, 809, 127, -1524, -705]]

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[User]
What is the rank of the matrix:
[[203, -454, -459, -521, -185, 422, 475, -96, -16, 135, -135, -541],
 [4, 328, 648, 512, 320, -584, -700, 132, -128, 0, 0, 352],
 [274, -332, -72, -268, 20, 76, 50, -18, -128, 180, -180, -428],
 [-613, 654, -12, 462, -130, -14, 75, 5, 320, -402, 402, 862],
 [634, -452, 450, -130, 350, -380, -550, 84, -416, 414, -414, -650],
 [301, -18, 597, 243, 355, -526, -675, 118, -272, 195, -195, -97],
 [219, -282, -90, -240, 0, 90, 75, -21, -96, 144, -144, -360],
 [-435, 430, -75, 275, -125, 50, 125, -10, 240, -285, 285, 575],
 [-215, -150, -744, -426, -410, 662, 825, -149, 256, -138, 138, -106],
 [-768, 864, 72, 648, -120, -96, 0, 24, 384, -504, 504, 1128],
 [322, -576, -447, -603, -155, 416, 450, -95, -80, 213, -213, -703],
 [-502, 256, -555, -55, -375, 480, 650, -107, 368, -327, 327, 405]]?

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[User]
What is the rank of the matrix:
[[678, -982, -136, -478, 422, -114, 132, -214, -186, 104, 326, -348],
 [-66, -6, -48, 66, 126, 198, 276, 138, -258, -48, 78, -84],
 [467, -662, -85, -332, 267, -105, 50, -164, -89, 77, 209, -223],
 [529, -552, 23, -414, -23, -483, -506, -414, 437, 161, 23, -23],
 [-538, 499, -61, 433, 126, 606, 692, 493, -614, -187, 44, -49],
 [-492, 451, -59, 397, 124, 564, 648, 457, -576, -173, 46, -51],
 [-526, 474, -68, 426, 146, 618, 716, 498, -638, -188, 58, -64],
 [-220, 267, 13, 165, -52, 132, 104, 129, -80, -53, -50, 53],
 [7, 105, 68, -27, -185, -213, -326, -135, 311, 44, -121, 130],
 [-279, 79, -140, 259, 361, 645, 870, 463, -807, -164, 217, -234],
 [-465, 610, 55, 340, -185, 195, 90, 220, -45, -95, -155, 165],
 [291, -391, -40, -211, 131, -105, -30, -127, 3, 56, 107, -114]]?

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[User]
Determine the rank of the following matrix:
[[325, 86, -182, 219, -401, 1336, 471, 676, 217, 916, -4, 297],
 [-287, 81, 309, 309, 182, 215, -680, 178, 1, 488, -248, -521],
 [18, 873, -296, -675, 1, 69, 498, 1077, -205, -334, 431, 827],
 [580, -99, -286, -765, -872, -1700, 931, 1096, 52, 819, 285, -41],
 [-1448, 660, 1134, -231, 400, 128, -380, 31, 784, 490, -863, -853],
 [722, 1326, 263, -272, -631, -273, 333, -1415, 577, 25, 48, 408],
 [-777, 88, 415, -740, -348, -18, 306, 120, 930, -309, -254, -348],
 [1284, 1751, 996, -291, -1018, -488, 18, -1361, -412, 840, 1168, -126],
 [14, 895, 1379, -15, 178, -702, 141, -1531, -1390, 1009, 25, -102],
 [-756, -1746, -31, -228, -56, 319, 73, 367, -1131, -255, -357, -191],
 [-705, -692, -308, -192, 323, 338, -132, 758, -722, -9, -833, 431],
 [566, -33, 861, -319, -1009, -26, 195, -240, -318, 955, 1032, -702]]

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[User]
Calculate the rank of matrix A where A =
[[459, -710, 23, 65, 876, 367, -110, -1145, -301, -1677, 448, 503],
 [1313, 1134, -955, -245, 349, 554, -396, -815, -310, 86, -891, 2179],
 [214, 94, -382, 615, 762, 320, -989, -447, -539, -1333, -1347, 768],
 [-988, -327, 126, 181, 645, -320, -263, -151, 253, -1230, -337, -1364],
 [555, 778, 457, 723, -415, 587, -2119, -206, -968, 173, 422, 837],
 [-737, -600, -1043, -311, 335, -937, 1295, -534, -34, 65, -732, 315],
 [504, -24, 388, 265, 686, 857, -289, 78, 482, -678, 614, -586],
 [-146, 493, 399, 753, -216, 448, -712, 313, -10, 973, 284, -384],
 [631, -133, -251, -988, 1048, -93, -240, -1548, -237, -2404, -187, 1052],
 [303, -829, -753, 842, 21, 412, 1152, 2249, 574, 1558, 116, -587],
 [-203, -346, 1110, 524, -162, 141, -1266, -22, -643, -961, 34, -210],
 [-1129, 215, -1281, -333, 401, -1036, 502, -1185, -22, -156, -615, -144]]

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[User]
Find the rank of the matrix:
[[106, -210, 469, 220, -17, -1137, 358, -12, 723, 1040, -417, -759],
 [764, -258, 315, 838, -624, -351, -181, 220, -272, 497, -717, -800],
 [-12, -219, 262, 87, -278, 81, 139, -259, -4, -307, -197, 290],
 [-107, 636, -504, -562, 294, 909, -635, 395, -343, -158, 594, -31],
 [36, -252, 125, 224, -62, -740, 253, 424, 706, 387, -719, -1634],
 [220, -130, -478, -400, 711, 251, -359, 564, -12, -362, 100, -592],
 [-523, 363, -475, 43, -508, 1172, -61, -10, -569, -1254, 114, 301],
 [43, -51, -125, 863, -427, -547, 362, 30, -168, 237, -374, -384],
 [-292, -394, 379, 10, -142, -583, 541, -120, 774, -57, -561, -646],
 [-262, 408, 497, 80, -618, -168, 121, -328, 249, 718, -19, 87],
 [-534, 347, 366, -165, -437, 63, 246, -459, 268, 203, 151, 486],
 [-67, -67, -29, 623, -845, 411, 128, 2, -349, -716, -554, -347]]

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[User]
Calculate the rank of matrix A where A =
[[885, 135, -905, -270, 525, 485, -285, 130, 50, 275, -965, 480],
 [65, 115, -95, 95, 0, 40, -15, -5, 0, -50, -85, 120],
 [575, -299, -483, -598, 483, 299, -207, 138, 46, 437, -575, 0],
 [-834, -102, 846, 282, -504, -456, 270, -126, -48, -276, 906, -432],
 [-47, 203, -9, 244, -105, -17, 27, -36, -10, -155, 23, 144],
 [34, 518, -174, 550, -168, 40, 18, -66, -16, -332, -106, 432],
 [196, 404, -302, 349, -21, 123, -42, -23, -2, -189, -264, 408],
 [-523, 391, 407, 674, -483, -267, 195, -142, -46, -477, 507, 96],
 [-198, -522, 336, -477, 63, -129, 36, 39, 6, 267, 282, -504],
 [705, -69, -673, -408, 483, 379, -237, 128, 46, 337, -745, 240],
 [-486, 342, 384, 603, -441, -249, 180, -129, -42, -429, 474, 72],
 [520, -568, -356, -866, 546, 258, -204, 166, 52, 594, -480, -240]]

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[User]
Calculate the rank of matrix A where A =
[[-1284, 483, 426, 403, 610, -446, 276, -858, -109, 593, -444, -213],
 [-110, -774, 851, -165, 1164, -318, -158, -946, 481, 913, -907, 33],
 [168, 486, 679, 772, 1627, -1560, 706, -35, -696, 1034, -2002, -388],
 [-1, -599, -1322, -1248, -227, 1314, -428, 701, 520, 1292, -36, 989],
 [-1426, 101, -363, -352, 468, 43, 482, 486, -1598, -343, -1907, 517],
 [-1713, -1474, 41, -1240, 62, 1074, 264, -36, -831, -550, -1439, -1641],
 [-881, -825, -1310, -1387, 503, 2303, -732, 489, -298, 112, -179, 281],
 [1664, 759, 1011, 612, 357, -92, -1134, -776, 1405, 20, 1098, -449],
 [284, -171, 1505, 940, 733, -382, -1043, -1017, -514, -1023, -643, -321],
 [125, -398, 1230, 1106, 561, -1677, 1056, -700, 19, 249, 716, -1299],
 [939, -636, 230, -140, 588, -46, 355, 503, -509, -495, -157, -1333],
 [2026, 732, 1308, -29, 645, -543, -803, -609, 1608, 357, -783, -571]]

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[User]
What is the rank of the matrix:
[[464, 108, 541, 431, 295, 284, -854, 145, -362, -23, -82, -272],
 [-791, 504, 678, 834, -624, 673, 193, 1463, 930, 0, 1304, -496],
 [1040, -433, -541, -866, 648, -740, -209, -510, -724, 281, -405, -223],
 [-32, 153, -66, -283, 102, -71, 10, -24, 224, -234, -177, -116],
 [632, -550, -755, -315, -412, -779, -457, -472, -400, -497, -80, 291],
 [216, 642, 750, -28, 801, 483, -765, 67, 122, -324, -674, -547],
 [-512, 462, 749, 331, 548, 781, 323, 86, 122, 512, -287, -88],
 [213, 181, -2, -133, 25, -87, -704, -302, 94, -803, -558, 2],
 [-105, 528, 691, 505, -57, 499, -691, 718, 456, -473, 276, -490],
 [1, -620, -640, -272, -88, -413, 847, -573, -514, 716, 6, 556],
 [-742, 9, -45, 276, -594, 158, 935, 766, 564, 417, 1033, -17],
 [1119, -1308, -1236, -94, -1077, -1350, -120, 472, -766, 327, 1627, 14]]?

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[User]
What is the rank of the matrix:
[[662, 1217, 412, 1270, -507, -165, -784, -888, -86, 41, -1017, 842],
 [-401, -1382, -260, -336, -111, 891, 336, 842, 352, -583, 22, -216],
 [-1241, 756, -787, -1436, 240, -892, -1188, -2394, 1206, 1740, 486, -674],
 [631, 410, -482, -54, 30, 1038, 287, 1589, -1709, -1275, 574, 764],
 [-576, 611, 407, -979, 947, -18, -1066, -448, -657, 1124, -770, 119],
 [1355, -668, 1074, 1278, 816, 336, 775, 163, 779, 321, -1404, 138],
 [-389, -971, -254, -190, -19, 290, 486, 455, 639, 1410, 571, -295],
 [-328, 1254, -52, -527, -280, -1690, -1685, -2175, -117, 1658, 103, 186],
 [-730, 525, -1046, -1075, -347, -684, -1162, -1025, -433, -149, 424, 479],
 [268, -1201, 1113, 830, 775, 1899, 722, 1722, -80, 188, -1665, 628],
 [572, -215, -93, 4, 74, -427, 206, -589, 93, 272, 459, 431],
 [201, 2884, -312, 870, -614, -856, -1306, 1192, -2350, 192, -552, 367]]?

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