[User]
Find the rank of the matrix:
[[-39, 1004, -540, -702, -250, 518, 777, 55, -535, 814, -916, -78],
 [214, 951, 1991, -1144, 1097, -524, -1084, 683, -151, 710, 580, 1051],
 [516, 389, 171, -350, 1225, -1387, -475, -891, 1039, -461, 152, -543],
 [1805, 4, 431, -1178, -5, -890, -570, 1086, 942, 770, 75, -1323],
 [-1259, -49, -449, 928, 1235, 1194, 554, -952, -877, -474, -110, 454],
 [-481, 389, -1564, 713, -179, -219, -105, -1567, 75, -1305, -162, -1676],
 [160, 880, 1631, -353, -68, -494, -792, -46, -972, 579, 805, 2144],
 [208, 466, 2228, -1392, 539, -478, -255, 843, -275, 155, -320, 710],
 [211, 260, 1287, -608, 1578, -618, -532, 727, 225, -81, -5, -684],
 [-223, 535, 900, -1199, -521, -255, 137, -178, 543, -611, -288, -16],
 [-207, 188, 51, -732, -1011, -2083, -1545, -1523, 624, -1494, 1384, -569],
 [-1138, 700, -64, -225, -988, -870, 224, -859, 21, -660, -139, 893]]

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[User]
Calculate the rank of matrix A where A =
[[420, -525, -294, -126, -273, -252, 189, -273, 546, 336, -21, 42],
 [220, -275, -154, -66, -143, -132, 99, -143, 286, 176, -11, 22],
 [-40, 50, 28, 12, 26, 24, -18, 26, -52, -32, 2, -4],
 [480, -600, -336, -144, -312, -288, 216, -312, 624, 384, -24, 48],
 [140, -175, -98, -42, -91, -84, 63, -91, 182, 112, -7, 14],
 [-180, 225, 126, 54, 117, 108, -81, 117, -234, -144, 9, -18],
 [160, -200, -112, -48, -104, -96, 72, -104, 208, 128, -8, 16],
 [20, -25, -14, -6, -13, -12, 9, -13, 26, 16, -1, 2],
 [480, -600, -336, -144, -312, -288, 216, -312, 624, 384, -24, 48],
 [160, -200, -112, -48, -104, -96, 72, -104, 208, 128, -8, 16],
 [140, -175, -98, -42, -91, -84, 63, -91, 182, 112, -7, 14],
 [-100, 125, 70, 30, 65, 60, -45, 65, -130, -80, 5, -10]]

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[User]
Determine the rank of the following matrix:
[[326, -151, 521, 83, -15, -445, 136, -333, -55, 434, -160, -395],
 [-326, -475, -581, 651, 511, -553, -100, -5, -377, 336, -134, -619],
 [-21, -527, 838, -534, -71, -116, 1157, -462, 350, 550, 161, 794],
 [461, 1607, 99, -660, -351, 845, -957, 479, 88, -908, 73, 579],
 [-429, 488, -666, -89, 492, 212, -253, 386, -209, -260, 135, 592],
 [-10, -952, 365, 158, -231, -274, 682, -384, 209, 419, -19, -296],
 [297, 637, -145, -86, -501, 589, -757, 335, 114, -732, -11, -201],
 [287, 808, 378, -311, 341, -221, -213, -53, -218, 203, -74, 321],
 [721, 134, 945, -175, -520, -133, -19, -355, 177, 166, -169, -425],
 [458, -293, 885, -245, -552, -26, 428, -392, 338, 209, -41, -122],
 [-186, -250, -114, 52, 110, -58, 210, -22, 0, 100, 42, 90],
 [-701, 31, -1057, 404, 920, -278, -211, 326, -493, 93, 36, 150]]

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[User]
Find the rank of the matrix:
[[-36, 852, 73, -335, -166, -610, 517, 720, 571, -743, -125, 580],
 [-198, 184, -258, 302, -188, -544, 264, 490, -252, -298, -186, 208],
 [-151, -237, -304, 483, -134, -250, -8, 127, -600, 52, -171, -69],
 [-311, 527, -302, 265, -266, -910, 542, 895, -54, -618, -225, 455],
 [-427, -195, -467, 686, -136, -564, 207, 451, -571, -15, -94, -19],
 [234, 173, 110, -189, -90, 56, -55, -64, -7, -162, -169, 121],
 [-243, -441, 123, -66, 408, 480, -129, -369, 465, 591, 582, -417],
 [126, 295, -70, 25, -238, -312, 107, 256, -229, -374, -331, 267],
 [495, 76, -71, 105, -402, -56, -248, -137, -854, -291, -683, 176],
 [204, 467, -91, 12, -360, -466, 164, 386, -322, -579, -502, 415],
 [-496, -83, -130, 179, 206, -212, 271, 302, 375, 150, 411, -95],
 [460, -170, 25, 35, -210, 270, -385, -420, -675, 25, -435, -50]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-581, 1183, -368, 549, 1540, -1887, 472, -917, -251, -1011, -1, -96],
 [323, -334, -317, 961, -295, -1093, 1036, -223, 864, -840, 1769, -99],
 [-949, 1335, -184, 598, 240, -24, -963, -1075, -535, -432, 116, 453],
 [861, -239, 449, -818, -108, 1315, 333, -300, -165, 500, -555, -435],
 [771, 488, -231, 346, 1998, -956, 1188, -820, -1532, -2021, 372, -18],
 [-505, -406, -638, -683, -1671, -76, -686, 625, -201, -13, 149, 617],
 [1153, -259, -1308, 1094, 1380, -395, 1200, 623, -880, -344, -535, 1131],
 [-66, 200, 421, -1121, -120, 297, 418, -366, -1339, -197, -494, 128],
 [677, 120, -324, -206, 1323, -862, 845, -348, -72, 111, -766, -85],
 [-685, -134, 65, -1788, -2231, 499, -614, -756, -839, 735, 420, 867],
 [-199, 478, -81, -133, 527, -183, 757, -753, -1010, 25, -857, 549],
 [1201, -1001, 1092, -1162, -184, 860, 1703, -598, 141, 258, -54, -1021]]

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[User]
Compute the rank of the given 12x12 matrix:
[[502, -77, -605, -8, -282, -163, -517, 555, -463, -477, -196, -234],
 [374, -45, -506, 18, -190, -191, -510, 473, -389, -406, -141, -298],
 [452, -110, -363, -86, -320, 82, -55, 304, -272, -263, -193, 196],
 [-168, 12, 264, -24, 72, 132, 312, -252, 204, 216, 60, 216],
 [218, -11, -363, 40, -86, -197, -451, 349, -281, -299, -76, -326],
 [352, -80, -308, -56, -240, 32, -100, 264, -232, -228, -148, 96],
 [696, -132, -726, -60, -432, -84, -462, 648, -552, -558, -282, -72],
 [656, -152, -561, -110, -452, 76, -157, 478, -422, -413, -277, 208],
 [-154, 43, 99, 40, 118, -59, -37, -77, 73, 67, 68, -122],
 [-394, 115, 231, 112, 310, -179, -145, -173, 169, 151, 176, -362],
 [44, -58, 176, -100, -108, 274, 472, -198, 142, 168, -38, 492],
 [-116, 118, -308, 196, 228, -526, -892, 354, -250, -300, 86, -948]]

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[User]
Find the rank of the matrix:
[[-595, -1465, -350, -763, -310, 395, 11, -416, -2227, 209, 306, 1353],
 [45, 128, -1587, 216, -1180, -1302, -226, 778, 212, -312, 654, 925],
 [657, -91, -1101, 197, -1206, -1235, 30, 444, 254, -208, -748, 1187],
 [721, 126, -112, -77, -91, -793, -857, 29, 988, 547, -41, -183],
 [-495, 181, 355, -550, 853, 582, 178, -667, 381, -418, 117, -191],
 [479, -536, 1083, -205, 405, 279, -540, -300, -817, 1234, 378, -85],
 [793, 397, 832, 5, 426, -401, -607, -64, 643, 931, 782, -260],
 [985, -701, 636, 723, -652, -47, -212, 546, -1111, 960, 1, -168],
 [140, 121, -403, 571, -796, -843, -729, 997, -699, 1401, 369, 77],
 [63, -141, -974, -16, -767, -838, -344, 357, -54, 162, -268, 671],
 [-1255, 425, -632, -511, 384, 243, 307, -240, 53, -587, 144, 299],
 [1135, -149, 331, 565, -248, -67, 151, 146, 854, -709, 307, -624]]

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[User]
Find the rank of the matrix:
[[275, 475, 575, -325, 575, 50, 600, -125, 600, 0, -50, -125],
 [154, 266, 322, -182, 322, 28, 336, -70, 336, 0, -28, -70],
 [-176, -304, -368, 208, -368, -32, -384, 80, -384, 0, 32, 80],
 [-176, -304, -368, 208, -368, -32, -384, 80, -384, 0, 32, 80],
 [-231, -399, -483, 273, -483, -42, -504, 105, -504, 0, 42, 105],
 [176, 304, 368, -208, 368, 32, 384, -80, 384, 0, -32, -80],
 [-264, -456, -552, 312, -552, -48, -576, 120, -576, 0, 48, 120],
 [-220, -380, -460, 260, -460, -40, -480, 100, -480, 0, 40, 100],
 [44, 76, 92, -52, 92, 8, 96, -20, 96, 0, -8, -20],
 [121, 209, 253, -143, 253, 22, 264, -55, 264, 0, -22, -55],
 [-44, -76, -92, 52, -92, -8, -96, 20, -96, 0, 8, 20],
 [176, 304, 368, -208, 368, 32, 384, -80, 384, 0, -32, -80]]

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[User]
Determine the rank of the following matrix:
[[-323, 130, 303, -363, 1090, -788, -458, 714, -172, 327, 714, 280],
 [610, -50, -213, 531, -611, 838, 457, -432, 377, -573, -282, -44],
 [-599, -399, 194, -860, -456, -138, 556, -195, -464, 984, -133, -108],
 [608, -465, 200, 123, -171, 402, 715, -202, 112, -292, 58, -242],
 [-267, -65, 153, -77, 463, -944, -713, 205, -373, -17, -155, -504],
 [97, -504, 361, -203, 246, -556, 78, 34, -338, 17, -34, -596],
 [605, 187, 46, 488, 646, 230, -46, 355, 434, -624, 569, 340],
 [325, -375, 242, 246, 324, -662, -348, 3, -238, -508, -247, -824],
 [-391, -311, 297, -737, 73, -208, 465, 119, -315, 787, 287, 96],
 [-274, -17, 149, -37, 562, -1026, -834, 261, -370, -65, -133, -504],
 [-760, 452, -53, -541, 377, -230, -283, 434, -79, 783, 468, 740],
 [-295, 65, -5, -326, -73, 98, 181, 50, -42, 443, 150, 306]]

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[User]
Compute the rank of the given 12x12 matrix:
[[87, -132, -633, -506, -1842, -76, -130, -699, -419, 821, 467, 91],
 [944, -726, 801, -190, -1948, 18, -606, 920, -616, 839, 430, 37],
 [707, -766, 302, 483, -1195, 386, -808, 987, -40, -107, -438, 12],
 [382, -1007, 520, 96, -1854, -228, -693, -128, -441, 225, -68, 881],
 [-1023, 587, -1183, -616, 484, -553, -615, -53, 702, -1067, -1073, -494],
 [6, 163, -1111, 418, -172, 850, -100, -133, -23, -526, -139, -590],
 [-606, 804, -1521, -33, 521, 644, 347, 791, 1259, 46, -690, -692],
 [-1298, 293, -721, -30, 786, -271, -219, 75, 910, -875, -1124, 715],
 [-1114, -344, -3, 635, 1289, 451, 404, 300, 843, -853, -1067, 1002],
 [-1517, 534, -254, -1320, 444, -920, -574, 1210, 686, -1302, -816, -32],
 [-435, 510, -648, -188, 1050, -285, -298, 101, 609, -409, -902, -702],
 [-414, -216, 546, -1310, -1280, -1984, -1638, -282, -546, -182, -484, 591]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-352, 330, 22, 308, -286, 198, 44, -132, -440, -286, -352, 330],
 [-112, 105, 7, 98, -91, 63, 14, -42, -140, -91, -112, 105],
 [-256, 240, 16, 224, -208, 144, 32, -96, -320, -208, -256, 240],
 [-272, 255, 17, 238, -221, 153, 34, -102, -340, -221, -272, 255],
 [208, -195, -13, -182, 169, -117, -26, 78, 260, 169, 208, -195],
 [176, -165, -11, -154, 143, -99, -22, 66, 220, 143, 176, -165],
 [-336, 315, 21, 294, -273, 189, 42, -126, -420, -273, -336, 315],
 [-304, 285, 19, 266, -247, 171, 38, -114, -380, -247, -304, 285],
 [-64, 60, 4, 56, -52, 36, 8, -24, -80, -52, -64, 60],
 [320, -300, -20, -280, 260, -180, -40, 120, 400, 260, 320, -300],
 [-16, 15, 1, 14, -13, 9, 2, -6, -20, -13, -16, 15],
 [304, -285, -19, -266, 247, -171, -38, 114, 380, 247, 304, -285]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-628, 219, 718, -301, 204, -162, 414, 200, 470, 143, -108, 202],
 [243, 504, -820, 715, -204, 238, 114, -390, -201, -408, 82, -163],
 [-874, -79, 337, -144, 363, -76, -70, 10, 506, 413, -117, -27],
 [-653, -612, -882, 377, 110, 142, -430, 414, 427, 696, -48, -189],
 [-706, -229, -269, 170, 329, 70, -458, -234, 302, 421, -65, -249],
 [368, 1055, 211, 264, -255, 26, 842, -302, -160, -799, 51, 189],
 [-236, 521, -88, 294, -98, 39, 570, 124, 256, -184, -19, 130],
 [205, 1282, 328, 304, -216, 17, 1018, -370, -53, -869, 31, 221],
 [-92, 208, -1438, 1010, -286, 324, 144, 172, 136, -24, 58, -150],
 [1937, -735, 393, -812, -689, -199, 52, 852, -961, -342, 174, 396],
 [479, -178, -759, 329, -479, 103, 330, 788, -49, -9, 72, 170],
 [-56, -109, -599, 349, -5, 139, -270, -122, -26, 92, 24, -183]]

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[User]
Determine the rank of the following matrix:
[[490, -196, -686, 65, 910, -376, -94, 657, -537, -253, -609, 103],
 [-410, 663, 65, 60, -1698, -929, -79, 675, 333, -542, 1028, 690],
 [116, 363, -209, 9, 402, -505, 689, 2140, -54, -339, -145, 339],
 [-924, 883, 67, 739, -406, 137, 542, -40, 237, -851, 523, 41],
 [-865, 469, 691, 91, -575, 44, 779, 467, 1, -145, 126, 308],
 [1274, -249, -1283, 35, 1686, 299, -1550, -82, 331, 72, 216, -617],
 [-475, 77, 152, 80, -814, 535, -137, -854, -403, 896, 330, 73],
 [130, -359, 477, -386, 216, -243, 316, 245, 80, -126, -506, 44],
 [-58, 210, 195, -373, -526, -805, -593, 703, 213, -408, 459, 598],
 [1044, -578, -562, -358, 575, -612, -578, 314, 18, -146, -364, -41],
 [-197, 393, -78, 295, -656, 297, -360, -701, 577, -59, 899, -226],
 [862, -637, -214, -717, 1070, -1048, -1601, -20, 75, -846, -435, 306]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-357, 494, -1015, 808, 1108, -694, 455, -17, -544, 1164, -1692, 318],
 [-745, -31, 831, 1029, -331, 900, -226, 313, -856, -676, 179, 622],
 [-176, -196, 493, 1061, -37, 201, -117, 886, -431, 122, 410, 1207],
 [523, -218, -677, -544, 585, -491, -243, 219, 792, 333, -507, -962],
 [-631, -1480, 133, -569, -860, 680, -621, 149, 201, -278, -234, 552],
 [-599, -568, 1050, -486, -1307, 1323, -319, -511, 655, 478, -741, -350],
 [-431, -1280, -809, -529, -279, -153, -421, -551, 215, 745, -571, 858],
 [152, -310, 726, 837, -239, 389, -574, 904, -147, -355, 1213, 957],
 [-77, -509, -40, 1907, 1474, -583, 458, 417, -317, 168, 322, -579],
 [463, 742, 281, -230, -78, -44, 152, -407, 131, -300, 713, -569],
 [-483, 207, 275, -197, -577, 416, 221, -867, -383, -164, -70, 139],
 [607, 270, 32, 404, 760, -488, 322, 939, 516, 440, -189, -716]]

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[User]
Find the rank of the matrix:
[[10, -1650, 1085, 121, 482, 351, -603, -522, 365, -1171, -283, -937],
 [1001, -782, 924, 446, 448, -551, 87, 526, -53, -820, 146, -254],
 [614, 206, 239, 683, 190, -397, 429, 365, 268, 309, -186, 373],
 [9, 13, 477, 434, -847, -649, -269, -36, 971, 389, -53, -532],
 [-844, 522, -251, 205, 16, 375, 585, -930, 141, 801, -419, 421],
 [648, -287, 905, 566, 4, -847, 423, 198, 111, -273, 181, -185],
 [-304, 203, -273, -782, -1371, -498, -992, 355, 273, -23, 660, -876],
 [873, -428, 277, -29, -312, -526, -742, 1005, 279, -549, 328, -525],
 [459, -296, 312, 736, 1482, 471, 985, -217, -418, -158, -581, 876],
 [286, 724, -805, -507, -23, -64, 82, 744, -740, 109, 453, 502],
 [95, 293, -213, -468, -1145, -635, -767, 636, 297, 63, 573, -608],
 [657, 431, -280, 225, 468, -125, 469, 642, -407, 142, 38, 696]]

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[User]
What is the rank of the matrix:
[[263, -170, 497, 52, 437, -480, -109, -226, -421, -106, 48, 44],
 [155, 23, 60, 240, 497, -299, -238, -127, -434, -347, 498, 451],
 [448, -198, 422, 112, 712, -566, -218, -674, -642, -42, 204, 438],
 [317, -87, 338, 243, 724, -554, -283, -311, -653, -347, 473, 467],
 [-58, 119, -357, 78, -16, 193, -55, -55, 49, -35, 216, 289],
 [258, -158, -88, -228, -22, 114, 96, -874, 48, 654, -424, 178],
 [-74, 148, -66, 294, 292, -154, -212, 376, -256, -568, 606, 284],
 [46, -110, 574, 49, 201, -425, -35, 348, -237, -300, 5, -332],
 [219, 38, -149, 231, 526, -189, -258, -440, -432, -192, 523, 698],
 [67, 4, 93, 123, 250, -187, -116, 10, -226, -214, 243, 164],
 [23, -160, 687, -48, 65, -410, 53, 404, -131, -188, -216, -566],
 [111, -112, 49, -171, -92, 51, 102, -374, 84, 378, -347, -76]]?

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[User]
Calculate the rank of matrix A where A =
[[354, -69, -901, 121, -166, 970, 82, -294, -351, 118, -355, 892],
 [-354, 340, 43, -383, -115, 1012, 681, 422, -423, -783, -1230, 638],
 [546, -73, -811, -31, 472, -150, -308, -114, 349, -24, 159, 336],
 [402, 540, 680, -486, -119, 646, 249, -428, 406, -498, -783, -315],
 [285, -914, -1245, -345, 136, -291, -152, -263, -10, 933, 1306, 590],
 [-608, -317, 262, -75, 102, -568, 178, 539, -217, 400, 591, -340],
 [-257, -142, -672, -56, -265, 305, 105, 140, -397, -711, -516, 1103],
 [171, -356, -897, -238, -222, -103, -226, -324, 35, -562, 35, 1037],
 [608, -277, -1090, 127, 333, 560, -67, -225, -93, 928, 440, 399],
 [-551, -139, 353, -473, -415, 367, 551, 180, -390, -137, -201, 195],
 [339, -308, -342, 130, 353, -31, -83, -95, 45, 1270, 930, -428],
 [541, -149, -1042, -432, -1036, 1397, 80, -1137, -271, -917, -897, 1834]]

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[User]
Determine the rank of the following matrix:
[[-604, -68, 247, 212, 137, 63, -397, -533, -909, -239, -273, -674],
 [-440, -434, -358, -589, -1002, -304, 350, 506, -591, 431, 600, -367],
 [16, 163, 92, 38, 87, 476, 203, 119, -117, -256, -186, -187],
 [212, 81, -21, 6, 74, 67, 96, 108, 296, -7, -7, 201],
 [-536, -234, -86, -279, -558, 60, 162, 166, -829, 57, 188, -617],
 [96, 31, 148, 341, 501, -406, -547, -563, 280, 17, -176, 292],
 [252, -247, -387, -407, -550, -541, 256, 480, 519, 540, 573, 492],
 [-396, -6, 119, 9, -83, 329, 27, -73, -688, -224, -151, -571],
 [-740, -414, -155, -369, -765, -237, 45, 97, -1048, 228, 347, -713],
 [-288, -219, -124, -219, -413, -190, 51, 107, -382, 181, 236, -238],
 [192, -323, -404, -403, -573, -742, 131, 379, 490, 629, 628, 514],
 [-220, -299, -81, -4, -114, -781, -460, -360, -94, 359, 233, 99]]

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[User]
Find the rank of the matrix:
[[885, 812, 154, 26, 195, -335, -87, 517, -315, 104, -514, 167],
 [-1051, -715, -560, -625, -455, 474, -106, -815, 639, 43, 264, -738],
 [-246, -567, 780, 689, 531, 515, 36, -824, -547, 4, 268, 339],
 [311, 592, 125, 365, 353, -772, 92, 1151, -138, 97, 488, 987],
 [-110, -54, -147, -883, -331, -969, -98, 547, 473, 218, -144, -244],
 [0, -110, -262, -396, -354, -928, -42, 926, 210, -446, 224, 42],
 [-285, -62, -729, -179, -493, 397, 106, -29, 463, -194, 49, -422],
 [-21, 597, -855, 178, -6, 407, -414, 283, -211, -833, 626, 74],
 [-572, -1261, -184, 325, -664, 1096, 515, -995, 324, -430, -177, -770],
 [413, -722, -18, 530, -882, -309, 1122, 964, 505, -309, -488, -9],
 [-735, 6, -558, 962, 242, 938, 102, -84, -36, -400, 1287, 698],
 [268, 128, 559, 1213, 577, -79, 358, 609, -533, -116, 616, 1220]]

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[User]
What is the rank of the matrix:
[[65, 415, 313, 486, -57, 337, 236, -133, -82, 383, 502, -208],
 [96, -600, -252, -795, -192, -321, -423, 63, 108, -654, -549, 87],
 [-283, 115, -231, 281, 419, -170, 195, 168, -6, 265, -141, 281],
 [-397, 85, -369, 299, 581, -290, 225, 252, 6, 295, -279, 419],
 [303, -735, -113, -1064, -503, -231, -598, -49, 122, -899, -500, -102],
 [-178, 10, -182, 99, 258, -149, 83, 119, 8, 104, -155, 197],
 [23, 25, 39, 20, -31, 37, 6, -21, -6, 13, 48, -34],
 [422, -230, 310, -492, -630, 214, -328, -238, 20, -454, 148, -400],
 [355, -115, 307, -316, -523, 233, -226, -217, 2, -303, 208, -362],
 [-478, -50, -534, 170, 686, -452, 174, 336, 36, 202, -498, 554],
 [-2, 530, 310, 662, 50, 356, 338, -112, -100, 534, 562, -170],
 [-412, 100, -376, 325, 604, -293, 241, 259, 4, 318, -277, 431]]?

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[User]
Calculate the rank of matrix A where A =
[[-557, 520, 134, 311, 45, 315, -767, 164, 422, -514, -237, -253],
 [177, -288, -500, -717, 883, 483, -145, 360, -384, 460, -689, 1023],
 [322, -224, 208, 206, -586, -546, 686, -352, -88, 112, 614, -442],
 [345, -372, -269, -444, 337, 42, 317, 66, -363, 439, -164, 540],
 [-183, 144, -56, -33, 211, 231, -337, 144, 84, -104, -245, 123],
 [258, -360, -506, -744, 850, 420, -22, 324, -438, 526, -632, 1032],
 [-65, -20, -285, -370, 595, 420, -345, 290, -115, 135, -530, 590],
 [75, 36, 377, 492, -781, -546, 439, -378, 159, -187, 692, -780],
 [-109, 44, -189, -230, 431, 336, -333, 226, -35, 39, -406, 394],
 [299, -328, -254, -413, 333, 63, 257, 76, -326, 394, -177, 511],
 [-365, 424, 398, 623, -579, -189, -239, -172, 446, -538, 363, -805],
 [198, -204, -119, -207, 124, -21, 212, 6, -189, 229, -35, 237]]

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[User]
Compute the rank of the given 12x12 matrix:
[[125, -664, -147, -128, -343, 424, -725, -13, -214, 310, -418, -299],
 [190, 16, -480, -1130, -428, -666, -836, -238, -1136, 134, -772, 258],
 [655, 393, -268, -887, 135, -848, 445, -430, -31, -552, -1147, -982],
 [487, -368, -286, 348, -28, 166, 716, 341, 661, 77, 103, -769],
 [328, -502, 64, 332, 920, 286, 458, 346, 1128, -230, 64, -996],
 [1115, 168, -837, -1005, 2, -426, 215, 117, 420, -384, -861, -834],
 [923, -48, -863, -609, -870, 74, -63, 125, 52, 86, -621, -424],
 [-795, 169, 657, 40, 395, -491, -204, -440, -754, -49, 18, 409],
 [-50, 705, 23, -155, 173, -726, 688, -105, -138, -286, 156, 254],
 [596, 589, -745, -449, -916, -1424, 1462, -63, -775, 92, -233, -271],
 [914, 1668, -625, -1446, -599, -994, 463, -618, -157, -903, -1185, -18],
 [-1, 408, 135, -825, 523, -3, -955, -339, 7, -518, -641, 221]]

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[User]
Find the rank of the matrix:
[[-316, 378, -1251, -197, -447, 401, -1173, 862, 470, 684, 771, 471],
 [206, -28, 571, 265, -465, -228, 830, -558, -751, 103, -130, 396],
 [102, 267, -341, 425, -544, 496, -488, 525, 191, 566, 594, 7],
 [-343, 36, -870, -73, 0, 233, -895, 589, 701, 89, 117, -130],
 [-696, -759, -579, -513, 474, -731, -139, -419, 452, -693, -1065, -146],
 [-209, 184, 124, -509, 1150, -75, -23, 103, 487, -1105, -731, -412],
 [174, 121, 6, 808, -676, 456, -111, 286, 104, 380, 247, -208],
 [42, -52, -377, 451, -774, 255, -358, 247, 34, 729, 518, 100],
 [52, -888, 554, -1048, 112, -1313, 1079, -1464, -1313, 329, -45, 865],
 [175, 166, 414, -65, -25, -100, 487, -260, -478, -29, 19, 296],
 [347, 380, 406, 967, -357, 686, 51, 404, 204, 13, 107, -526],
 [-98, -171, -548, -144, -667, -149, -279, -29, -281, 828, 579, 604]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-388, 1085, -105, 725, -1166, -414, 231, 638, 241, 377, -523, 800],
 [952, 207, -231, -353, 76, 146, -475, 889, -707, -156, 125, -143],
 [929, -660, 117, -949, 302, 354, -498, 339, -639, -461, 707, -1103],
 [279, -442, 267, 626, 865, 373, 377, -311, 12, 111, 468, 488],
 [412, -929, 250, -134, 902, -780, 297, -986, 758, 169, -927, 250],
 [403, -85, 809, 143, -99, 709, 1151, -296, 223, 1194, 1292, -260],
 [803, -1344, -269, -713, 1523, -558, -818, -534, -16, -1005, -904, -200],
 [-480, 731, -391, -285, -1014, 324, 17, 158, 621, 135, -183, 280],
 [1588, 52, 187, -950, -443, 1052, 239, 1043, -1073, 603, 1654, -768],
 [565, 459, -400, -711, -673, -167, 223, 593, -918, 698, -2, 57],
 [-461, 303, -223, 789, -270, -363, -959, 689, 90, -1284, -603, 319],
 [-313, 358, -501, -554, -898, -668, -574, 461, -347, -426, -751, -231]]

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[User]
What is the rank of the matrix:
[[10, -308, -37, -96, -338, -131, -152, -24, -336, -428, -82, -158],
 [-12, 216, 326, -192, 252, -278, 80, 336, -160, -152, -260, 36],
 [-2, -104, 311, -312, -98, -443, -80, 336, -540, -632, -370, -134],
 [-9, 57, 437, -354, 84, -506, -10, 462, -505, -569, -440, -78],
 [-12, 210, 337, -204, 246, -295, 76, 348, -182, -178, -274, 30],
 [-10, 92, 433, -336, 122, -481, 8, 456, -456, -508, -422, -58],
 [-8, 34, 419, -348, 58, -497, -20, 444, -510, -578, -430, -86],
 [0, 120, -220, 240, 120, 340, 80, -240, 440, 520, 280, 120],
 [5, -121, -79, 18, -136, 28, -54, -78, -47, -71, 36, -46],
 [20, -382, -503, 276, -442, 401, -148, -516, 186, 158, 382, -82],
 [5, -175, 20, -90, -190, -125, -90, 30, -245, -305, -90, -100],
 [25, -443, -692, 414, -518, 599, -162, -714, 359, 347, 558, -68]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[-236, -140, 196, -268, -470, 766, -308, 324, -214, 570, 334, -420],
 [85, -292, 91, -319, 25, -601, 538, -336, -148, -238, -153, 486],
 [-261, -452, 357, -657, -645, 565, 30, 168, -432, 602, 341, -174],
 [237, 302, -273, 465, 540, -616, 108, -222, 321, -557, -320, 264],
 [-229, -786, 497, -1049, -730, 126, 512, -102, -635, 491, 262, 228],
 [103, -46, -35, -13, 160, -436, 268, -210, 23, -259, -156, 288],
 [-66, -368, 210, -474, -270, -98, 324, -120, -276, 128, 62, 204],
 [5, -436, 203, -527, -175, -433, 554, -288, -284, -54, -49, 438],
 [-9, -212, 105, -261, -105, -167, 246, -120, -144, 2, -7, 186],
 [-156, -174, 168, -276, -345, 429, -102, 162, -195, 369, 213, -198],
 [-164, -46, 112, -124, -305, 581, -278, 258, -115, 401, 237, -342],
 [-206, -620, 406, -838, -620, 196, 352, -36, -514, 450, 244, 120]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-804, -747, 560, 602, 699, -18, 519, 38, 212, -115, 1279, -355],
 [-129, -114, -79, -601, 323, 310, -154, -436, -934, -758, 205, 586],
 [1236, 1062, 340, -408, 546, -96, -834, 480, -556, 350, 38, 54],
 [-285, -438, 2, -254, 218, 256, 298, -536, -527, -682, 236, 402],
 [-37, 38, -111, 36, -258, -152, -135, 517, 686, 429, -148, -194],
 [-831, -624, -348, 528, -710, -64, 600, -216, 757, 88, -344, -272],
 [967, 262, 566, -351, 751, -2, -101, 335, -103, 47, 461, 162],
 [-1088, -827, 241, -16, 601, 100, 118, 331, 217, -314, 1239, 5],
 [247, -98, -31, -283, -100, -39, 25, 403, 601, 166, -135, 102],
 [-423, 57, -623, -254, -719, -28, -368, 277, 382, 164, -631, 65],
 [-153, 732, -513, -539, -317, -94, -1252, 820, -56, 408, -319, 32],
 [-418, -763, -317, -1036, 77, 452, 208, -399, -387, -1072, 71, 965]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-110, -165, 137, 118, -419, 279, 53, 422, -125, 125, -257, 792],
 [-23, 9, 45, -135, 35, -97, -158, -441, 46, 63, -31, -506],
 [-132, 232, 446, -32, 463, 489, 467, -375, -41, 107, 384, -74],
 [18, -740, -854, -344, -875, -718, 137, 539, -743, 489, -986, 422],
 [-31, -50, -505, -267, -103, -881, 650, 961, -124, 289, -769, 721],
 [-611, 153, 507, 400, 482, 212, 48, -283, 398, 643, 109, -228],
 [640, -656, -1022, -630, -831, -380, 255, 361, -1109, -307, -410, 314],
 [700, 512, 180, -1267, 148, -11, 1309, -141, -525, -703, -114, 404],
 [-843, 96, 390, -227, 517, -401, 918, -308, 56, 1321, -666, -174],
 [404, -15, -244, 104, -230, -21, -648, 48, 130, -648, 258, -191],
 [-52, -304, -2, 494, -567, 319, -805, 229, 115, -89, 4, 302],
 [-33, -413, -806, -736, -476, -1162, 938, 762, -688, 655, -1284, 621]]

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[User]
Find the rank of the matrix:
[[-175, -175, -158, -176, -500, 570, 633, -266, -592, -611, 9, -97],
 [520, -225, -708, -312, 13, -642, 319, 275, 167, -337, 498, -500],
 [-151, -12, 909, 184, 124, -371, -746, -333, 251, 284, 171, 348],
 [373, 397, -820, 39, 248, 53, 531, 606, 264, 265, -631, 13],
 [-656, 265, 383, 338, 98, 993, -297, -61, -263, 485, -618, 313],
 [151, 59, -539, 17, 445, -210, -261, 512, 324, 419, 67, -354],
 [-683, 347, 469, 394, 101, 1061, -287, -78, -250, 547, -767, 440],
 [-278, -687, 942, -284, -741, -176, -99, -1013, -585, -975, 996, -52],
 [232, 305, 655, 144, -170, -325, 195, -309, 233, -35, -474, 777],
 [292, 92, -1274, -208, -26, 354, 912, 572, -168, -220, -284, -450],
 [268, 1, -937, -182, 38, 73, 543, 439, -43, -147, -38, -419],
 [588, -25, -548, -154, 277, -848, 27, 407, 491, 55, 294, -296]]

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[User]
Determine the rank of the following matrix:
[[-378, -216, -162, 90, -288, -126, -54, -216, 378, -360, -108, 270],
 [-189, -108, -81, 45, -144, -63, -27, -108, 189, -180, -54, 135],
 [-336, -192, -144, 80, -256, -112, -48, -192, 336, -320, -96, 240],
 [147, 84, 63, -35, 112, 49, 21, 84, -147, 140, 42, -105],
 [189, 108, 81, -45, 144, 63, 27, 108, -189, 180, 54, -135],
 [-336, -192, -144, 80, -256, -112, -48, -192, 336, -320, -96, 240],
 [126, 72, 54, -30, 96, 42, 18, 72, -126, 120, 36, -90],
 [483, 276, 207, -115, 368, 161, 69, 276, -483, 460, 138, -345],
 [-483, -276, -207, 115, -368, -161, -69, -276, 483, -460, -138, 345],
 [-126, -72, -54, 30, -96, -42, -18, -72, 126, -120, -36, 90],
 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
 [420, 240, 180, -100, 320, 140, 60, 240, -420, 400, 120, -300]]

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[User]
Find the rank of the matrix:
[[474, 415, -189, 35, 179, 155, -287, 423, 778, -241, -404, 176],
 [-955, -978, 340, 187, -1127, 549, 261, 765, -114, -329, 258, -231],
 [-203, -103, -373, -458, 413, -256, 394, -681, -441, 221, -119, -524],
 [-96, -345, -347, 125, -124, 317, 148, 806, 431, -395, -432, 49],
 [1166, 1024, -519, 455, 819, 845, -461, 127, 989, -526, -449, -154],
 [-278, -164, -11, -271, -358, 123, 27, 304, 392, -147, -200, -233],
 [893, 764, -250, 41, 855, -477, -309, -205, 270, 181, -294, 565],
 [-635, -370, -199, -324, -30, 472, 524, -870, -661, 9, 251, -1247],
 [-833, -440, 755, -316, -1392, 208, -187, 564, 463, -116, 262, -207],
 [94, -389, 478, 856, -363, -318, -192, 943, -312, 26, 330, 1385],
 [-101, -347, -606, -413, -106, -201, 147, 1268, 1062, -373, -1058, 298],
 [-544, -512, -471, -245, -242, 701, 436, 256, 240, -440, -351, -933]]

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[User]
Find the rank of the matrix:
[[-472, -285, 16, 385, 744, -221, -183, -925, 39, -703, 259, -73],
 [-2, -225, -55, 287, 99, -7, -141, -620, -108, -359, 32, -554],
 [253, 374, 664, -684, -860, 127, 742, 299, -336, 83, 322, 367],
 [751, -299, -115, 148, -222, 644, 106, -420, -528, -29, 244, -763],
 [238, -266, -867, 491, 568, 240, -689, 466, 283, 563, -459, -243],
 [196, -37, -114, 138, -523, -57, -174, -94, -27, 48, -361, -799],
 [277, -88, -491, 83, 536, 397, -211, 655, 107, 576, -29, 458],
 [-734, 377, 540, -319, -318, -741, 205, 1, 293, -317, -103, 435],
 [405, 93, -434, -97, -12, 334, -151, 1022, 137, 834, -277, 312],
 [-248, 272, 589, -531, 112, -20, 613, 134, -111, -157, 583, 1105],
 [-13, -247, 79, 82, 826, 340, 192, -520, -250, -375, 686, 503],
 [-184, 222, 239, -287, -88, -142, 217, 296, 81, 67, 75, 529]]

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[User]
Calculate the rank of matrix A where A =
[[580, -220, -886, -144, 1131, 812, 735, -117, -283, 837, -701, 130],
 [-417, 936, -649, 903, -183, -257, -747, 3, 659, -1166, -283, -260],
 [-237, -414, -168, -19, 546, 440, 33, 311, -264, 482, 71, 448],
 [90, -631, 682, -929, 616, 676, 534, -860, -405, 804, -131, -422],
 [-866, -749, 602, -133, -929, 950, -534, 473, -1082, -67, 77, 1727],
 [-203, 1026, 905, -372, 350, 166, -126, 809, 223, -304, -495, -405],
 [754, 1003, -643, -198, 751, 732, 341, -355, 211, -297, -1653, -714],
 [129, 460, -630, 504, -154, -631, -594, 542, 557, -667, -139, -220],
 [36, 184, -463, 561, -234, -1080, -468, 20, 739, -520, 517, -580],
 [1137, -756, -812, -111, -188, -544, 682, -463, -96, 644, 168, -93],
 [316, -584, -474, 302, -250, -800, 257, -484, 196, 298, 821, -171],
 [616, -336, 902, -1047, -294, -17, 394, -273, -317, 391, -207, -399]]

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[User]
Calculate the rank of matrix A where A =
[[-132, -974, -493, 566, -231, -183, 380, -272, 577, 205, 356, 1006],
 [-258, -635, 465, -1729, -381, 897, -471, 699, -277, -921, 898, 33],
 [-105, 142, 375, -1929, -466, 870, -1391, 896, -1088, -319, 21, -279],
 [-230, -915, 232, -916, -129, 640, -25, 412, 87, -1007, 1186, -84],
 [-72, 868, 782, -58, 274, -138, 359, 152, -303, -41, 720, -498],
 [614, -800, 60, -1479, -1389, 1344, -1001, -365, -473, -631, -202, 439],
 [671, -795, -1117, 1515, -633, -650, 853, -1170, 437, 483, -862, 244],
 [-1137, -266, -121, -607, 696, 82, 816, 836, 960, -305, 33, 679],
 [266, -643, -892, 1105, -144, -273, 264, -814, 811, 405, -1053, 766],
 [471, 540, -170, 282, -634, -480, 99, -466, -420, 910, -997, 220],
 [-627, -683, -450, 820, 381, -590, 1766, -10, 1054, -96, 621, 470],
 [351, 162, 392, -1138, -690, 945, 469, -479, 244, -790, -722, -55]]

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[User]
Calculate the rank of matrix A where A =
[[-946, -18, 80, 496, 1010, 178, -94, -54, -38, -238, 230, 124],
 [-615, -509, 112, 430, 619, 307, 279, -355, -375, 319, 871, 532],
 [-328, -396, 81, 268, 327, 155, 235, -297, -249, 213, 623, 393],
 [959, 650, -189, -699, -1008, -136, -342, 601, 287, 24, -1037, -680],
 [297, -233, -25, -158, -364, 296, 188, -10, -334, 650, 376, 195],
 [-586, 141, 39, 289, 645, -19, -161, 30, 132, -387, -106, -66],
 [-260, -482, 83, 246, 245, 201, 301, -337, -325, 347, 743, 465],
 [240, -261, 21, -51, -267, -27, 207, -198, -120, 201, 294, 204],
 [89, -302, 44, 47, -103, -35, 219, -256, -118, 131, 366, 255],
 [1076, 397, -151, -673, -1135, -215, -153, 368, 218, 89, -756, -474],
 [1474, 288, -148, -814, -1546, -450, -30, 216, 292, 26, -764, -434],
 [341, 171, -57, -230, -360, -52, -80, 162, 78, 30, -292, -189]]

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[User]
Determine the rank of the following matrix:
[[247, 569, 313, -273, -483, -749, -344, 852, -612, -173, -141, -222],
 [82, -90, 471, 509, 123, -64, -729, -455, -173, 521, 522, 31],
 [-159, -714, -354, 425, -669, -964, 727, -319, -151, 99, -196, -694],
 [-24, 257, -108, 14, 1028, 1631, -854, -247, 299, 608, 300, -156],
 [-43, 1447, 546, -1118, 194, 63, -187, 795, -821, -392, -109, -101],
 [664, 391, -306, -354, 20, 349, -608, 759, 183, -90, -564, -156],
 [-1246, 572, 1521, 202, -240, -912, 17, 690, -1112, -298, 1567, 1128],
 [267, 547, 471, -59, 875, 1034, -1136, -562, -22, 577, 387, 71],
 [-846, 1049, 992, -385, 349, 177, -298, 694, -915, -96, 962, 419],
 [-794, -1419, 248, 1450, -1080, -1515, 574, 351, 50, -129, 955, 868],
 [331, -984, -251, 875, -849, -1002, -48, 259, 332, 10, -80, 174],
 [-613, -306, 636, 569, -253, -690, 159, -235, -359, 71, 844, 474]]

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[User]
Calculate the rank of matrix A where A =
[[744, -595, 814, 1087, -951, -97, 146, -27, 258, -188, 171, -341],
 [-645, 344, -41, -439, -505, 94, -538, 115, -1354, 230, 766, 956],
 [702, -292, 164, 349, -436, -288, 193, 671, 733, 85, -152, -67],
 [-208, -898, 449, -873, 479, -416, -837, -707, -4, -1118, 1803, -1059],
 [332, -35, 720, 1073, -860, -82, -766, -267, -18, -1130, 641, 932],
 [-202, -18, 552, -47, -297, 575, -438, 554, 1460, -1355, 794, 1234],
 [91, 214, -300, 102, -531, 41, -171, -6, 91, -391, 461, 361],
 [-48, 365, -1119, 79, 755, -290, 606, -955, 256, 98, -860, -541],
 [308, -128, 873, 1289, 55, 184, -282, 80, 33, -166, -751, -220],
 [1743, -685, 157, -117, 242, -303, 150, 442, -78, 981, -692, -1221],
 [49, 642, 1262, 331, 278, -254, -599, 1148, -882, -573, 366, -671],
 [-676, -644, 1139, 640, -361, 742, 309, 524, 254, 510, -281, 163]]

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[User]
Find the rank of the matrix:
[[-460, -1161, -915, -152, -522, -662, 313, 883, -1177, 827, 102, 659],
 [-798, -536, 165, -205, -99, 378, -645, 986, -655, 809, 241, -579],
 [238, 1555, 691, 827, 357, 821, 229, -292, 871, -1341, 1037, -17],
 [-1031, 350, 410, 1572, -99, 1431, -490, -279, 234, 297, 160, -821],
 [614, -14, -316, -722, 84, -632, 1102, 271, -146, 512, -867, 1047],
 [-102, 17, -294, 1180, 862, 1188, 63, -1424, -680, 176, 62, -58],
 [1196, 371, -54, 146, 130, 382, 253, -1208, 1605, -265, -468, 929],
 [578, -167, 509, -1029, -102, -1211, 351, 1555, 109, 588, 393, 460],
 [1934, -387, -338, -1557, 164, -1673, 539, -389, 2159, 36, -249, 488],
 [-1152, -127, 74, 1035, -469, 1760, -731, -144, -1694, 59, 940, -813],
 [-492, 346, 1227, 633, -875, 130, 313, 501, 512, 1275, 340, -1109],
 [-732, -56, 45, -485, 359, -15, -1780, 249, 954, -1085, -567, -1070]]

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[User]
Determine the rank of the following matrix:
[[294, 379, 471, 30, -793, 443, 1011, -1339, -211, -940, -1000, 43],
 [1040, -363, 1376, -1320, -776, -229, -717, 387, 151, -52, 406, 132],
 [980, -294, 1476, -960, -1289, -349, -650, 1780, 621, 591, -72, 732],
 [-71, 689, 347, 914, -48, -829, 79, 1266, -494, -272, 268, -1130],
 [-792, 343, -703, 1410, 16, 63, 853, -809, -638, -786, -566, -1283],
 [-1136, -611, -163, 1320, -308, -1450, 153, 779, 248, 310, 123, 128],
 [-869, 553, 681, -859, -1225, -599, -432, 2443, 5, 691, -1271, 1224],
 [311, -1082, 310, -571, 396, -277, -498, -1511, 515, -91, 880, -182],
 [-95, 650, -872, -453, 1081, 599, -1115, -363, -176, 936, 102, 797],
 [-1291, 836, -397, 857, 502, -667, -680, 1618, -383, 647, 141, -791],
 [-88, 556, -801, 728, 300, 1454, 1099, -112, -889, -1085, -76, -2228],
 [-884, -242, -17, -351, -175, -264, -359, 2026, 431, 785, -102, 255]]

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[User]
Determine the rank of the following matrix:
[[401, 593, 146, 379, 716, 584, -149, -160, -241, 781, -726, 440],
 [460, -754, 274, 310, 731, -199, 246, -93, -42, 808, 386, 645],
 [-1196, -113, 1088, 481, 608, 632, 604, 549, -65, -115, 521, -315],
 [383, -128, -623, 1813, -968, 301, 444, 1059, 1143, -650, 191, -1081],
 [999, 158, -598, 241, -662, -85, 553, -92, -197, -176, 573, -484],
 [-227, -60, 536, -185, 1453, -1237, 598, -948, -831, 721, 1200, -98],
 [-1249, -183, -95, -1752, -158, 415, -93, 883, 186, -720, -362, 667],
 [1116, -601, -698, -1305, 433, 35, 929, -489, -907, 542, 839, 225],
 [-158, 171, -415, -264, 88, 765, 359, 1214, 247, -677, 31, 140],
 [-905, 610, 520, 792, -216, 628, -629, 619, 322, -1192, -283, -737],
 [248, -209, 151, 1305, 1262, 574, 1050, -135, -228, 698, 663, -1175],
 [386, 77, -382, -440, -75, 748, 355, -451, -523, 90, -79, -735]]

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[User]
What is the rank of the matrix:
[[-239, -359, 445, -32, 327, -402, 293, -720, -263, 237, -502, 176],
 [589, 267, 211, -390, 491, -496, 72, -214, -205, -287, 207, 481],
 [-547, 55, -55, -404, 23, -184, 602, -244, -543, 235, -661, -243],
 [-859, 163, -709, 10, -781, 704, 224, 698, -69, 265, -337, -879],
 [-135, 161, -203, -144, -129, 94, 125, 192, -111, 5, -70, -176],
 [495, -207, 287, 368, 173, -44, -472, -112, 415, -151, 455, 373],
 [476, -474, 899, 93, 802, -776, -45, -1067, -41, -7, -72, 800],
 [-206, -458, 419, 215, 196, -214, 66, -593, -21, 235, -333, 139],
 [372, -608, 1022, 126, 864, -856, 22, -1266, -90, 82, -224, 824],
 [-329, -303, 288, -1, 163, -234, 266, -521, -216, 246, -472, 26],
 [299, -119, 689, -446, 845, -940, 422, -1006, -519, -17, -373, 657],
 [1077, 27, 389, 176, 479, -308, -592, -112, 421, -445, 821, 751]]?

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[User]
Calculate the rank of matrix A where A =
[[-702, -112, 535, 29, -496, -364, -567, -117, 164, -172, 710, -806],
 [1079, 698, -264, -155, 313, 594, 285, -641, -80, -429, -223, 304],
 [-815, -524, 562, -293, -255, -144, -433, 539, 616, 469, 79, -64],
 [-721, -642, 315, -419, 100, -54, -261, 739, 606, 1031, -198, 386],
 [-344, -973, 320, 175, -697, -487, -1023, 916, 556, 209, -1164, -941],
 [343, 304, 87, -642, 958, -48, 780, -89, -192, 465, 108, 780],
 [-525, -212, -199, 40, 140, 310, 514, 423, 132, 389, 198, 1032],
 [-702, -600, 1288, -84, -281, -1201, -70, 799, 586, -385, 21, -719],
 [-227, -424, 55, 458, -664, 360, -512, 501, 924, 1, -394, 74],
 [1097, 290, 339, -305, 494, -194, 293, -55, 262, -287, -724, -30],
 [596, 508, -738, 203, -294, 1557, -253, -562, 476, -55, -80, 779],
 [107, 683, -637, 361, 358, 282, 471, -848, -570, 123, 1183, 400]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-351, -41, -262, 191, 221, 48, -925, -645, 18, -479, -144, -504],
 [-995, 225, 460, 678, 541, 506, -505, -175, 827, 409, -86, 41],
 [573, -177, -200, -1596, -778, 223, 320, -499, -403, 400, 277, -853],
 [515, 372, -374, -1196, 796, -152, 1855, 861, 45, -116, 180, 1184],
 [-733, -660, 1305, 1068, -623, 1153, 1000, -295, -278, -317, 658, 381],
 [735, 723, 479, -894, -770, 226, -577, -471, -1577, 360, -899, -365],
 [214, -258, -187, -149, 1937, 80, 18, 797, -804, -284, -1170, 1543],
 [-356, -85, 1777, 1351, -49, 715, -752, -325, -298, 605, -587, 52],
 [113, 1153, 795, -695, 380, -970, 584, -708, -93, -279, -9, 1154],
 [-922, 328, -1367, -851, 458, -967, 390, -926, 2317, -825, 1519, -136],
 [863, 1223, 887, -477, 1208, -205, -1181, -145, -1003, 491, -1767, 1055],
 [-616, -692, -147, 494, -1008, -419, 592, -300, 244, -457, 1117, -501]]

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[User]
Calculate the rank of matrix A where A =
[[282, 199, 137, -160, -340, 397, 155, 208, 567, -215, 112, -277],
 [-312, 85, -247, -136, 80, -263, -235, -266, -309, 331, -602, 179],
 [-208, -276, -8, 308, 440, -412, -184, -48, -664, 140, -8, 464],
 [-399, -83, -374, 539, 245, 114, 723, 451, 463, 655, 531, -363],
 [487, 91, 247, -447, -480, 344, 24, -263, 415, -661, 363, -525],
 [370, -49, 205, -571, -325, -27, -315, -718, -182, -719, 142, -318],
 [262, 245, 87, -523, -445, 215, -173, -286, 272, -341, -258, -272],
 [-219, -113, -169, 263, 200, -74, 242, 103, 3, 283, 229, -73],
 [-683, -56, -563, -3, 315, -523, -102, -491, -530, 692, -531, 60],
 [463, -218, 478, -168, -15, -129, -443, -287, -507, -776, 223, 277],
 [-705, 141, -560, 510, 330, -48, 445, 555, 270, 1135, -369, 100],
 [23, -125, 68, -14, 100, -174, -171, -185, -328, -139, 23, 138]]

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[User]
Determine the rank of the following matrix:
[[51, 39, 48, -15, -21, -57, 6, 39, -3, 9, -30, -21],
 [-238, -182, -224, 70, 98, 266, -28, -182, 14, -42, 140, 98],
 [-238, -182, -224, 70, 98, 266, -28, -182, 14, -42, 140, 98],
 [-425, -325, -400, 125, 175, 475, -50, -325, 25, -75, 250, 175],
 [170, 130, 160, -50, -70, -190, 20, 130, -10, 30, -100, -70],
 [374, 286, 352, -110, -154, -418, 44, 286, -22, 66, -220, -154],
 [187, 143, 176, -55, -77, -209, 22, 143, -11, 33, -110, -77],
 [-425, -325, -400, 125, 175, 475, -50, -325, 25, -75, 250, 175],
 [153, 117, 144, -45, -63, -171, 18, 117, -9, 27, -90, -63],
 [-17, -13, -16, 5, 7, 19, -2, -13, 1, -3, 10, 7],
 [-272, -208, -256, 80, 112, 304, -32, -208, 16, -48, 160, 112],
 [-323, -247, -304, 95, 133, 361, -38, -247, 19, -57, 190, 133]]

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[User]
Calculate the rank of matrix A where A =
[[-75, -450, 200, 600, -175, 250, 375, -250, 500, 100, -475, -300],
 [33, 198, -88, -264, 77, -110, -165, 110, -220, -44, 209, 132],
 [-57, -342, 152, 456, -133, 190, 285, -190, 380, 76, -361, -228],
 [-48, -288, 128, 384, -112, 160, 240, -160, 320, 64, -304, -192],
 [60, 360, -160, -480, 140, -200, -300, 200, -400, -80, 380, 240],
 [33, 198, -88, -264, 77, -110, -165, 110, -220, -44, 209, 132],
 [-54, -324, 144, 432, -126, 180, 270, -180, 360, 72, -342, -216],
 [-60, -360, 160, 480, -140, 200, 300, -200, 400, 80, -380, -240],
 [-63, -378, 168, 504, -147, 210, 315, -210, 420, 84, -399, -252],
 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
 [-78, -468, 208, 624, -182, 260, 390, -260, 520, 104, -494, -312],
 [12, 72, -32, -96, 28, -40, -60, 40, -80, -16, 76, 48]]

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[User]
Calculate the rank of matrix A where A =
[[51, 638, -146, -530, -389, -883, -780, 695, -769, 503, -906, -48],
 [-259, 69, -159, 243, 440, 7, -242, 163, -1152, 976, -99, 434],
 [1019, 286, -42, 439, -735, 178, -10, 679, -93, 432, -20, 376],
 [-791, 794, 250, -663, -6, -789, -1070, 847, -543, 250, -973, -123],
 [-676, 162, 277, -16, 1606, 366, -392, -585, -553, 301, 681, -472],
 [437, 703, -417, 547, 638, 446, -45, 361, -1020, 1261, 621, 407],
 [343, 319, 282, 173, 319, 100, -314, -92, -805, 585, 161, -286],
 [-134, -316, -299, 450, 235, 257, -14, 337, -543, 703, 22, 841],
 [209, -242, -328, 424, 133, 488, 423, 29, 293, 92, 498, 477],
 [580, -681, -259, 85, -1482, -202, 729, 66, 805, -612, -474, 409],
 [-601, 113, 366, -867, 289, -978, -1436, 440, -535, 15, -1063, -371],
 [140, 98, 680, 226, 231, 286, -113, -406, -450, 149, 235, -516]]

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[User]
Determine the rank of the following matrix:
[[-648, -268, -228, -276, -18, -378, 594, 4, 388, -132, 318, -454],
 [366, -2, -468, 288, -270, -258, -438, -22, 80, 234, 588, 160],
 [-612, -298, -390, -222, -99, -495, 531, -2, 454, -78, 525, -457],
 [-440, -172, -116, -196, 6, -226, 410, 4, 244, -100, 166, -302],
 [289, 79, -56, 158, -66, 44, -292, -7, -94, 101, 61, 177],
 [-217, -139, -268, -50, -96, -278, 166, -5, 226, 7, 353, -183],
 [864, 290, 42, 426, -99, 297, -837, -14, -386, 246, -87, 563],
 [-753, -231, 48, -390, 126, -192, 744, 15, 294, -237, -33, -477],
 [-1016, -298, 118, -538, 195, -217, 1013, 22, 370, -334, -113, -635],
 [-293, 59, 598, -280, 321, 383, 389, 25, -176, -247, -758, -92],
 [554, 178, -4, 280, -78, 166, -542, -10, -232, 166, -16, 356],
 [-348, -114, -6, -174, 45, -111, 339, 6, 150, -102, 21, -225]]

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[User]
Calculate the rank of matrix A where A =
[[-338, 288, -832, 197, -342, -81, 200, 220, -955, 312, -329, -297],
 [87, 409, 143, -18, 243, -219, 224, -86, 231, -187, 224, 296],
 [466, 296, -1189, 1111, 188, 807, -1044, 207, -593, -539, -2622, -344],
 [-596, -1613, -62, -608, 185, -184, 1677, 1271, 724, -852, 1693, 510],
 [-970, -572, -656, -1073, -172, 794, 355, 39, -520, 1101, 178, 422],
 [-277, 866, -1392, -105, 890, -878, 128, 1569, -369, 467, -613, -66],
 [-35, -593, 583, -195, -535, 1001, 87, -559, -886, 345, 143, 145],
 [1184, 1162, 2431, 1063, -566, -824, -1562, -1093, 1898, -1019, -1138, -176],
 [796, -211, 189, 308, -64, 976, -1575, -562, -129, 421, -2130, -1368],
 [1778, 488, 512, 1427, 1299, -371, -810, 98, 877, -857, -1222, -35],
 [52, -146, 194, -477, 418, -999, 477, 1223, -138, 1290, 486, -573],
 [-599, 953, 610, 169, -1293, 668, -574, -1195, -337, -501, -694, 1017]]

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[User]
What is the rank of the matrix:
[[236, 32, 543, -380, 457, 742, -675, 707, -92, -144, 237, -139],
 [281, -525, -113, -549, 207, 385, 110, -115, -547, -284, -269, -371],
 [-734, 24, -696, 99, 242, 179, 360, -656, 343, 166, -122, 178],
 [50, 314, -118, 518, -432, -786, 146, -234, 154, 212, -16, 236],
 [304, -820, 963, -692, -271, 542, 297, 943, -300, -544, 197, -539],
 [-822, 638, -485, 164, 885, 758, -597, -221, 656, 364, 193, 421],
 [1257, -49, 32, -21, -318, -809, -279, -142, -955, -116, -398, -244],
 [168, 188, -195, 633, -790, -1235, 488, -427, 41, 192, -138, 202],
 [-726, 6, -284, 75, 131, 273, 311, -228, 471, 104, 83, 155],
 [610, 590, 300, 281, 69, -317, -827, 332, -123, 168, 117, 165],
 [14, -60, 93, -418, 588, 794, -460, 253, -118, -110, 52, -132],
 [-154, 100, -693, 257, -53, -437, 285, -769, -27, 178, -293, 143]]?

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[User]
What is the rank of the matrix:
[[189, 117, 197, 426, 433, -312, -758, -226, -119, -257, 288, 786],
 [-10, 556, 405, -662, 88, 337, 377, -307, 1373, 826, 768, 317],
 [-901, 850, -471, -179, -146, -357, 769, -152, -1129, -847, 248, -164],
 [-255, 210, 392, -1354, 912, 588, -164, 570, 639, -874, 101, -780],
 [298, -238, 1083, -106, 1761, 94, -783, 104, 365, -511, -228, -223],
 [-333, -226, 218, 486, 260, 538, 783, 136, -248, 14, 194, -552],
 [150, 889, -712, -1016, -965, -1511, 1234, -830, -976, -422, 530, 1062],
 [-280, -331, -258, 1065, -140, 70, -1061, 273, -426, 233, -1172, -574],
 [40, 197, -149, 1624, -423, -862, -144, -858, -748, 845, -133, 982],
 [120, -612, -463, -44, -340, 1, -622, 587, -526, -492, -993, -667],
 [-935, 772, -561, -1013, -481, 440, 140, 411, 270, -288, -119, -842],
 [-244, 176, -381, -333, -749, 460, 214, 177, 579, 458, 208, -172]]?

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[User]
Calculate the rank of matrix A where A =
[[-425, 453, 35, 322, -164, 593, -134, -137, 144, -295, 551, -561],
 [525, -522, -150, -322, -42, -246, 80, 45, -174, 243, -451, 630],
 [-787, 741, 297, 394, 372, -139, 18, 55, 212, -303, 359, -917],
 [-850, 783, 455, 400, 442, -429, -22, 144, 310, -136, 400, -883],
 [767, -732, -227, -400, -328, -14, -28, -10, -174, 382, -362, 942],
 [382, -357, -607, -236, 190, 395, 418, -182, -546, -586, -790, 21],
 [168, -180, 72, -120, 0, -300, -24, 84, 24, 252, -108, 300],
 [329, -231, -639, -38, -420, 1265, 90, -377, -364, -591, -73, -17],
 [-259, 180, 434, 18, 406, -972, 4, 279, 214, 353, -57, -52],
 [-26, 12, 446, 32, -248, -424, -352, 172, 396, 668, 492, 360],
 [14, -18, 251, 10, -182, -216, -220, 93, 232, 407, 301, 248],
 [663, -582, -563, -268, -424, 788, 72, -248, -362, -188, -312, 524]]

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[User]
Determine the rank of the following matrix:
[[66, -246, -75, 110, -290, 377, 280, 210, 38, 150, -110, 171],
 [-231, 182, 629, 191, 446, -276, -309, -466, -266, 168, -178, 239],
 [217, -148, -448, -184, -359, 337, 260, 323, 189, -70, 77, -110],
 [77, -320, -146, 149, -386, 435, 363, 310, 70, 154, -102, 170],
 [-46, 178, -251, -111, 129, -491, -187, 55, 101, -326, 293, -403],
 [510, 770, -295, -1250, 450, 65, -560, -610, 90, -330, 150, -385],
 [-77, -512, -590, 443, -622, -19, 517, 826, 266, -154, 246, -234],
 [244, -160, -712, -232, -452, 220, 296, 500, 300, -232, 236, -320],
 [-292, 522, 369, -32, 738, -993, -666, -522, -166, -278, 206, -305],
 [-348, -310, -115, 651, -179, -521, 179, 467, 65, -138, 217, -187],
 [109, -506, 73, 280, -525, 880, 554, 289, -17, 452, -365, 537],
 [-384, -700, -298, 987, -593, -290, 569, 905, 155, -48, 199, -100]]

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[User]
Compute the rank of the given 12x12 matrix:
[[325, 406, 968, 699, 121, 422, -440, -1655, 1004, 140, -26, 1139],
 [-829, 690, -724, 988, -864, 928, 78, -571, 266, 1158, 1083, 890],
 [-1046, 1027, 163, -578, 29, 196, -968, 823, -894, -759, -46, -752],
 [261, 1476, -81, -88, -895, 803, -715, 177, 282, 132, -608, -131],
 [803, -1255, 17, 107, 318, -1320, 1298, -173, 1257, -134, -346, 88],
 [-234, -829, 1458, -553, 316, 232, -12, -286, -1057, -578, -337, 982],
 [-196, -284, -229, 657, 3, -380, 871, 195, 924, 235, 754, -171],
 [-522, -838, -822, 321, 592, -1203, -54, 449, 196, -101, 201, -726],
 [516, -310, 539, 456, -95, 522, 304, -1170, 500, 364, 305, 1028],
 [-204, -64, 416, -1302, 114, -119, 454, 1022, -1267, -790, -339, -434],
 [-106, -739, -1207, 1703, -710, 768, 188, -535, 666, 1583, 1389, 579],
 [273, -101, 192, -760, -133, 637, 215, 248, -1158, -61, -37, 97]]

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[User]
Compute the rank of the given 12x12 matrix:
[[247, 49, 459, 58, -406, 264, 614, 160, 214, 1125, 85, 1226],
 [1240, 702, -562, -366, -614, 32, 426, -508, -906, 608, 258, -378],
 [474, 692, 637, -752, -1251, 317, 152, -481, -886, 657, -422, -12],
 [699, 184, -646, 579, -3, 390, 882, 39, -445, 655, 145, 448],
 [-463, -146, 481, 143, -110, -70, 568, 699, -274, -184, -332, 190],
 [291, 180, -200, -227, -91, 247, -694, -806, 250, 233, 112, -96],
 [632, -12, -3, -162, -3, -181, 129, -124, 810, 1137, 745, 1021],
 [-251, 125, 48, 298, -245, 1279, -892, -1193, 182, 350, -641, 372],
 [551, -575, -1206, 706, 1391, -760, 413, 577, 1151, 192, 1335, 477],
 [173, 37, -339, -252, 212, -2, -957, -767, 500, -97, 274, -353],
 [438, -447, -419, -59, 863, -1064, 92, 517, 1303, 368, 1312, 534],
 [223, 222, -344, -93, -73, -205, 207, 85, -742, -503, -83, -835]]

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[User]
Compute the rank of the given 12x12 matrix:
[[1249, -454, -351, 73, 275, 857, 229, -352, -655, -250, 529, -31],
 [269, 293, 645, -314, 166, -462, -189, -562, -219, 678, 11, 199],
 [-431, -382, -291, 75, 35, 194, 219, 405, 547, -26, 573, 242],
 [-124, 328, -619, 485, -203, 479, -935, -230, -587, -744, -67, 118],
 [1308, 72, -240, -321, 377, 1227, -692, -741, -1082, -631, 635, 436],
 [692, -429, 14, 500, -169, -563, 771, -383, -514, 1313, -384, -513],
 [-896, -245, -192, -699, -539, 197, -458, 794, 770, 388, 12, 554],
 [1547, -178, -487, 321, -163, 709, -98, -547, -1332, -254, -481, -517],
 [398, -240, 348, -727, -1140, -585, 178, 669, 99, 915, -1994, -866],
 [171, 530, 670, 28, 1156, -103, 465, -592, 1, -802, 846, 122],
 [671, 587, 121, -684, 855, 1132, -245, -446, -730, -1318, 494, 375],
 [475, -189, 839, -151, 17, -863, 190, -350, 352, 943, 110, -67]]

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[User]
Calculate the rank of matrix A where A =
[[-4, 229, -361, -304, -1139, 1152, -790, 206, 811, 709, -317, -1079],
 [83, 223, -2, -167, 538, -140, 64, 507, -689, -12, 432, 483],
 [48, -251, 389, 871, 1073, -741, 979, -405, -582, -133, 231, 1090],
 [349, 1378, 101, -338, -697, 673, 18, 984, 457, 412, -410, -78],
 [59, 636, -186, -1087, -1, -502, 660, 635, 177, -1119, 283, -500],
 [-534, 6, -672, 532, -132, -98, 157, -40, 150, -407, -153, 557],
 [-352, -341, -485, -195, -305, -319, 578, -471, 764, -916, -18, -763],
 [303, -250, 59, -26, 1203, -451, 457, 406, -1389, -517, 603, 1103],
 [-433, -668, -693, -738, 166, -537, -21, -111, -153, -1172, 524, -534],
 [-1018, 603, -769, 543, -2157, 649, -1350, -287, 1838, 420, -1430, -401],
 [1028, -975, 757, -596, 1260, -77, 402, -101, -1306, -96, 798, -183],
 [323, 553, 332, -1176, -397, 329, -753, 649, 58, 429, 191, -963]]

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[User]
Determine the rank of the following matrix:
[[20, 111, -528, -608, -267, 108, 106, -495, 18, -148, -287, -204],
 [45, -37, 92, -99, 46, 53, -22, -15, 347, 135, -251, -10],
 [-99, 125, 1168, 969, 704, 137, -500, 997, 737, 219, -61, 90],
 [-72, 19, 426, 450, 222, 4, -171, 391, 115, 36, 69, 107],
 [297, -481, -126, -465, -156, -169, 351, -358, 350, 537, -255, 160],
 [-53, 107, -360, -189, -187, 5, 64, -228, -361, -237, 109, -87],
 [236, -454, 734, 670, 409, -304, 93, 600, 71, 608, 542, 305],
 [-331, 711, 226, 203, 268, 459, -569, 318, 402, -539, -391, -380],
 [-47, 443, 88, 21, 280, 257, -268, 197, 197, -213, 21, -424],
 [318, -344, -1162, -988, -628, -308, 705, -983, -887, 64, 440, -98],
 [332, -712, 400, 364, 128, -460, 368, 244, -148, 716, 552, 444],
 [-23, 200, 54, -197, 94, 221, -165, -26, 518, -25, -432, -199]]

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[User]
What is the rank of the matrix:
[[1559, -642, 241, 519, 668, 851, 239, -384, 965, 651, 863, -461],
 [561, 402, -186, -496, -1073, -1, 88, 4, 678, 1267, -520, 74],
 [1576, -364, 240, -357, 113, 189, -527, 689, 30, 148, 175, -78],
 [-521, 232, -526, 33, 69, -98, -166, 130, -230, -6, -152, 326],
 [601, -320, -402, 827, 276, 666, 128, 487, -242, -140, 147, 57],
 [-1321, 369, -394, 377, -163, 8, 608, 772, -852, -996, -273, 62],
 [1195, -162, 384, -783, 1083, -1179, -683, 689, -1037, 587, 592, -634],
 [-881, 976, -228, -781, -288, -582, -232, 568, -716, -140, -378, 771],
 [-87, 961, -146, 426, -816, 378, 659, -195, 81, 448, -395, 937],
 [-96, 336, -56, -61, 607, -19, -665, 258, -774, -669, 142, 1043],
 [-243, -227, 1076, 402, 660, -788, 444, -1866, 307, 61, 554, -630],
 [133, 108, -1360, -759, 215, -259, -1306, 1666, -943, 364, -385, 507]]?

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[User]
Find the rank of the matrix:
[[130, -101, -411, 460, -447, -50, 534, -457, -311, -125, -445, 289],
 [-410, 352, -243, 490, -531, 325, 792, -31, 412, 160, 65, 427],
 [-470, 397, 21, 184, -231, 340, 426, 251, 583, 229, 335, 229],
 [300, -245, -400, 370, -340, -175, 350, -530, -515, -205, -550, 190],
 [180, -162, 450, -648, 666, -180, -900, 342, -54, -18, 270, -486],
 [500, -426, 146, -408, 458, -380, -724, -106, -558, -218, -210, -390],
 [610, -507, -407, 240, -179, -400, 58, -689, -897, -355, -765, 33],
 [80, -56, -536, 640, -632, 0, 784, -552, -296, -120, -520, 424],
 [-490, 410, 201, -34, -15, 335, 156, 433, 674, 266, 505, 83],
 [400, -340, 80, -280, 320, -300, -520, -120, -460, -180, -200, -280],
 [520, -442, 104, -364, 416, -390, -676, -156, -598, -234, -260, -364],
 [110, -99, 275, -396, 407, -110, -550, 209, -33, -11, 165, -297]]

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[User]
Determine the rank of the following matrix:
[[215, -115, 281, 133, 69, -17, 533, 478, -302, -502, 95, -328],
 [-142, 118, 32, -50, 110, 212, 80, 48, -36, -214, 158, 142],
 [404, -316, 11, 160, -240, -509, -25, 34, -8, 353, -346, -439],
 [-181, 129, -70, -83, 61, 168, -118, -124, 74, 5, 89, 219],
 [-60, 100, 273, 24, 232, 329, 549, 454, -296, -741, 330, -29],
 [-43, 87, 275, 31, 223, 309, 551, 458, -298, -730, 317, -48],
 [-441, 309, -198, -207, 129, 384, -342, -348, 210, 81, 189, 543],
 [-204, 156, -24, -84, 108, 240, -24, -48, 24, -132, 156, 228],
 [314, -186, 317, 178, 34, -111, 593, 542, -340, -499, 44, -447],
 [-337, 213, -271, -179, 13, 183, -499, -466, 290, 362, 23, 456],
 [172, -188, -272, 20, -300, -472, -560, -448, 296, 844, -428, -92],
 [140, -140, -154, 28, -196, -322, -322, -252, 168, 518, -280, -98]]

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[User]
Determine the rank of the following matrix:
[[1144, 292, 342, -321, -162, -209, -851, 720, 49, -67, 1055, -1100],
 [-870, -53, -387, 833, 206, -344, 27, -1348, 334, 1366, -1045, 733],
 [13, 220, -789, 762, -91, 426, 547, -392, 289, 286, 519, 143],
 [1064, -2130, 68, 7, 594, 768, 714, -1554, 653, 1069, 764, -600],
 [237, 6, -608, -373, -300, 221, 185, 21, 211, 461, -952, 455],
 [275, 1036, -339, -390, 197, 582, 3, 1605, -1442, -1435, 43, 501],
 [-949, 525, -161, 356, -191, -160, 1146, 455, 252, -1468, -447, 265],
 [-53, 537, -386, -254, -149, -630, -672, 226, 543, 724, -1137, 745],
 [33, -1550, -248, -801, 1501, 1269, 1304, -692, 514, 50, 751, 314],
 [-167, 1867, -670, 733, -1649, -195, -1085, 1528, -918, -1674, -758, -713],
 [404, 394, -1125, -353, 329, 32, -147, 510, 207, 117, -1720, 1187],
 [-1048, 1977, -897, 1848, -685, -412, -138, 477, -474, -960, -738, -295]]

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[User]
What is the rank of the matrix:
[[-401, -1285, -874, 2221, -844, 539, 446, -156, 402, -170, -49, -250],
 [-58, 56, -135, -74, -917, -665, -361, -314, 1493, 701, -265, -708],
 [-389, 1468, 714, -932, 721, 317, -192, 66, -1133, 659, 625, 870],
 [659, 330, 690, 889, 1322, 1208, 637, 1003, 383, 130, 858, -174],
 [-755, -119, -582, -170, -1794, -828, -1041, -1046, -221, 303, -1023, 939],
 [362, -543, -65, 719, 369, 810, 912, 110, -449, -940, 237, -309],
 [-1242, 82, -892, 1071, -765, 953, -847, 1004, 1039, -380, -627, -876],
 [401, 1220, 1518, -1540, 615, -1037, -108, -144, -186, 422, 169, 575],
 [279, -979, -1530, 378, -227, -187, -544, -154, -252, 316, 602, -107],
 [886, -1020, -312, -514, -117, -1176, 330, -719, 304, -45, -99, -384],
 [1804, 953, 598, 372, 890, 213, -20, -527, -955, 638, 1305, 1274],
 [-888, 464, 812, -1858, -591, -357, -883, 598, 332, 541, -1480, 338]]?

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[User]
Find the rank of the matrix:
[[-283, 106, 424, -640, 846, 1527, 382, 714, -87, -800, 296, 870],
 [184, 584, -1459, 373, -428, 180, -970, 1006, 732, -800, 1080, 405],
 [944, 167, -157, 350, -1257, -1255, -756, -1440, 693, 110, 62, -1703],
 [348, 397, 340, 560, 133, -684, -1259, -602, -223, -2372, -219, 1274],
 [19, 672, -182, 318, -1143, 310, -1395, -44, 83, -1414, -249, 101],
 [353, -1338, 495, -41, 1386, -187, 295, 138, -730, -419, -627, 1200],
 [-229, -42, 199, 197, -219, -1497, -651, -668, -690, 799, -1128, -679],
 [-43, -874, 885, 465, -944, -957, -960, 111, -270, 386, -1960, -611],
 [-852, 1134, 140, -14, -281, -1206, 135, -1619, -949, 1035, -78, -1117],
 [-355, 475, -405, -375, -569, 897, 213, 876, 581, 926, 187, -600],
 [746, -606, -390, -630, -628, 188, -216, -388, -239, 1132, -918, -271],
 [253, -310, 116, 425, -1043, -833, -108, 371, 963, 1196, -750, -1076]]

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[User]
What is the rank of the matrix:
[[305, 679, 802, 738, 703, -323, -586, 232, -33, 91, -94, -14],
 [97, -291, -775, -801, 107, 457, 623, 209, 439, 12, -61, 88],
 [938, 177, -565, 363, 748, 193, 430, -2, 389, 224, -151, -543],
 [-118, -270, -399, 251, -1658, -217, -327, -396, 130, 331, 204, 15],
 [-348, 485, -97, -1006, 808, 291, 437, 831, 575, -685, -385, 1088],
 [1007, -851, -22, 974, 1043, 1056, 1592, -1215, 637, -31, -247, -729],
 [-936, -203, -718, -1925, -397, -121, -402, 931, -624, 165, 340, 166],
 [-866, -483, -225, -1631, -230, -526, 339, 586, -733, -1257, -6, 406],
 [-311, -90, 567, -670, 242, -276, -123, 528, -113, -499, -29, 358],
 [-394, -78, -384, -968, 327, -143, 478, 396, -339, -853, -141, 283],
 [-212, 620, -173, 512, -1015, -82, -187, -106, 673, -180, -235, 965],
 [-822, 357, 41, -1295, 612, 252, 116, 859, 115, -506, -184, 1040]]?

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[User]
What is the rank of the matrix:
[[-327, -687, -115, 361, 490, -1580, 185, 864, -67, 300, -781, -812],
 [134, 1871, 117, -1576, -160, 1255, 1168, -303, -480, 309, 323, -352],
 [-742, 205, -474, -886, 133, 190, 494, 230, -1028, 116, -844, -102],
 [103, -168, 748, 472, 646, 65, -244, 1076, -375, 398, 43, 866],
 [478, 866, 246, 528, 255, 335, 722, 675, -557, 147, 692, -518],
 [559, -345, -653, -129, -206, -33, -47, 582, -717, -528, -751, -872],
 [75, 912, 336, -567, -401, 1729, 330, -887, -561, 320, -399, 860],
 [98, 641, -119, -4, 108, 242, 32, 28, 115, 508, 199, -550],
 [-312, 651, 70, 361, -42, 1551, -233, -660, -286, 399, 731, 863],
 [525, -18, -454, 154, -65, -739, 18, 293, 286, -187, -423, -1024],
 [338, -1724, -1369, -64, 695, -379, -808, 1709, -1537, 122, -2273, -1261],
 [-175, 1511, 809, -368, -80, 1375, 830, 285, -1124, 310, 404, 785]]?

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[User]
Calculate the rank of matrix A where A =
[[-1450, -990, 1638, 344, 2316, -1441, -257, 1488, -786, -608, 1022, 199],
 [482, -258, -766, 1208, -26, -149, -209, 381, -370, -1071, 495, -213],
 [-1386, -17, 1399, -539, 340, 312, 21, -54, -219, 863, 940, 1090],
 [890, -22, -1178, 79, -2079, 1321, 476, -1086, -143, 650, -1270, -69],
 [1840, 1050, -1418, 1048, -1538, 539, 1019, 230, -738, -1224, -1087, -620],
 [155, 115, -243, 394, -69, -388, -1280, -546, -566, 92, -1575, 1268],
 [-1224, -568, -388, 1093, -683, 1318, 1115, -598, -1335, -764, 682, -80],
 [178, 5, 251, -119, 395, -379, -799, 71, 365, -95, 390, 408],
 [-1297, 187, 258, 919, 855, 29, 933, 792, -483, -855, 2047, -386],
 [1655, 1480, 59, -892, -753, 60, 965, 575, 232, -505, -796, -521],
 [-975, -814, 731, -947, 430, -10, -887, -210, 699, 1042, 1006, 743],
 [-1807, -552, 443, 716, 1256, -442, 635, 965, -1276, -988, 847, -19]]

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[User]
Find the rank of the matrix:
[[23, 878, -1219, -705, 59, -582, 722, 530, 230, 19, 732, 1175],
 [678, -1218, 1380, 615, -716, -502, -512, 282, 709, 525, -691, -160],
 [-1082, -141, 1311, 271, -209, -335, -746, -782, 399, -465, -189, -1745],
 [-527, -69, -999, -1341, 697, -423, 1308, 106, 170, -288, 1288, -1029],
 [-166, 48, 502, 596, -702, 617, -499, 151, 303, 145, -363, 221],
 [-274, 501, 544, 1348, 17, 509, -1574, -533, -558, 238, -723, 441],
 [-226, 66, -559, -1152, 1203, -1043, 1748, -387, -124, -158, 1574, -444],
 [926, -814, -1069, -643, 228, 197, 682, 823, -555, -474, 531, 78],
 [-724, 220, 921, 635, -1276, 767, -1162, 721, 710, -292, -722, -77],
 [-529, 699, -1454, -1435, 403, -597, 627, 454, 234, -420, 526, -325],
 [151, 1056, -565, 1584, 473, 1436, -1551, -1468, -2184, -628, -570, 819],
 [330, -997, 1070, 165, 622, -638, 622, -802, 110, 685, 219, -739]]

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[User]
Find the rank of the matrix:
[[-121, 1355, 1237, -672, -825, 669, 1129, -103, -330, -259, 1370, 803],
 [1014, 210, 1661, 775, -1089, 576, 833, -730, 729, -94, -359, -1158],
 [392, 376, -323, -1026, 224, -1187, -607, 229, -148, 1111, 710, -814],
 [291, -46, -1021, -447, 75, -350, 467, 1435, -949, 26, -460, -798],
 [1190, -110, 647, -423, -498, 921, 972, 1556, -1155, 649, 557, -729],
 [-874, 125, -424, -806, 334, 507, 787, 900, -827, 785, 1460, 67],
 [-160, 1310, 1287, 971, 810, -593, -55, -607, -1396, -1108, 1018, 258],
 [-123, 40, 541, 231, 155, -1059, 822, 275, -1508, -1951, 337, 310],
 [-105, 274, 366, 61, -1170, -565, 882, -2017, 1521, -494, -498, 141],
 [-511, -293, 949, 418, -403, 315, -203, -1345, 764, -835, 280, 1060],
 [936, -675, -1163, -64, 931, -1552, 12, 1534, -974, 23, -1152, -1053],
 [-694, -956, -704, 160, 1337, -486, -446, 362, -34, 362, 85, 517]]

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[User]
Compute the rank of the given 12x12 matrix:
[[1096, -408, 500, 840, -500, 709, 317, 1380, 1042, 27, -204, 1455],
 [-649, -379, 1686, -16, 1430, 223, -1077, -242, 186, 1191, -1202, -285],
 [548, -246, -221, -873, 632, -746, 74, 0, 439, -524, -1004, 289],
 [578, -223, 140, 767, -711, -178, 275, -312, -635, 480, -631, 125],
 [-215, -88, 228, -614, 732, -359, -1076, -700, -279, 414, 189, 302],
 [91, 669, -625, -887, -608, 284, -198, -302, -497, -573, 1491, 16],
 [1644, -352, 451, 786, -887, 446, -423, -155, 69, 111, -1230, 1733],
 [81, -552, 678, 580, -279, -169, -2474, -674, -1218, 606, -122, 1682],
 [130, 889, 566, 775, -1341, 1144, -722, 500, -1511, 508, 695, -269],
 [466, 205, -40, 652, -600, 414, -896, 1096, 12, -249, 773, 1496],
 [-444, -37, 996, 1592, -65, 1255, -577, 520, 452, 500, -524, 329],
 [2181, -154, 166, 686, -851, -893, -770, -414, 19, 790, -752, 3125]]

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[User]
Calculate the rank of matrix A where A =
[[-428, 287, 312, 109, 572, 17, 139, 392, -339, 466, 287, -462],
 [113, -155, 243, -650, 46, 284, 434, -212, -517, -406, -814, -698],
 [29, 516, -259, -35, 344, 531, -73, 98, 84, 1010, -511, 108],
 [786, -566, -152, -482, -622, 322, -306, -358, 198, -1206, -1132, 0],
 [-69, -754, -177, 257, -604, -187, 487, -748, -288, -806, 301, 80],
 [525, -429, -289, 224, -498, 120, -632, -90, 495, -774, -308, 442],
 [-586, 476, 52, 120, 754, 502, 562, 76, -644, 1218, -96, -544],
 [184, -398, -123, 357, -109, 345, -356, -7, 25, -537, -303, -56],
 [-20, 96, -189, 561, -83, -284, -511, 250, 539, 199, 696, 638],
 [94, 80, 160, -1078, -206, -126, 889, -554, -421, -42, -575, -354],
 [-785, 14, 544, -106, 527, -181, 975, -34, -1008, 211, 496, -964],
 [-664, -87, -96, 485, 68, -183, 766, -424, -498, 518, 844, -16]]

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[User]
Calculate the rank of matrix A where A =
[[-104, 120, -64, -176, 48, -184, -128, -72, -168, 80, -40, -112],
 [-441, 291, -168, -518, 110, -683, -480, -181, -233, 298, -297, -350],
 [-17, -171, 80, 171, -74, 55, 34, 97, 392, -23, -118, 91],
 [-49, 111, -56, -140, 46, -111, -76, -65, -199, 48, 13, -84],
 [58, 396, -184, -387, 172, -104, -62, -224, -925, 43, 293, -203],
 [-158, 264, -136, -353, 108, -316, -218, -156, -435, 137, -13, -217],
 [258, 138, -48, -20, 68, 262, 192, -70, -542, -116, 354, 28],
 [231, 33, 0, 77, 22, 275, 198, -11, -286, -121, 264, 77],
 [-76, 6, -8, -43, 0, -98, -70, -6, 57, 43, -77, -35],
 [517, -297, 176, 561, -110, 781, 550, 187, 176, -341, 374, 385],
 [-29, 333, -160, -363, 142, -185, -122, -191, -706, 79, 164, -203],
 [335, -87, 64, 253, -26, 459, 326, 61, -118, -201, 304, 189]]

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[User]
Determine the rank of the following matrix:
[[910, 625, 122, 1045, 1302, 175, 307, -571, 338, 359, -228, -321],
 [-499, -125, -1074, 379, 404, -299, -274, -84, 71, -542, 526, -200],
 [-327, -320, 27, -201, -577, 184, -173, -523, 185, -409, -349, -291],
 [-429, 127, 1091, -363, -71, -91, 1159, -154, 276, 109, -957, -71],
 [-171, -989, 24, -684, -1053, -763, 413, 733, -110, 208, -208, 306],
 [-358, -479, -273, 2, -443, 290, -209, -326, 583, -473, 367, 421],
 [-496, -828, 712, -695, -904, -509, 1035, 131, 438, -2, -758, 339],
 [118, -725, 482, -203, -380, -975, 1371, 453, 162, 540, -960, -147],
 [42, 294, 910, -817, -193, 192, -465, -417, -263, -187, -442, 326],
 [-1164, -175, 758, -553, -570, 121, 899, -455, 514, -512, -784, -89],
 [29, -1152, 484, -585, -747, -779, 914, 523, 623, 243, -166, 1167],
 [-533, -532, -807, -267, -629, -322, -187, 915, -255, -69, 789, 293]]

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[User]
Find the rank of the matrix:
[[-299, 113, -113, 23, -546, 0, 373, -59, -240, 634, -238, -26],
 [-460, -162, 479, 127, -875, -343, 567, -589, -85, -1371, 1447, -747],
 [-609, 205, 1299, 318, -229, -50, -728, 123, -90, 377, 745, -893],
 [409, -439, -319, -889, 464, -404, 89, 556, 326, -549, -372, 301],
 [592, 144, -605, 791, -942, -681, 1416, -102, -558, 4, 573, -619],
 [26, -146, -166, 103, -1068, -346, 1543, -608, -190, -1050, 945, -704],
 [-267, -142, 702, -825, -42, 219, 566, -128, 527, -694, 273, -722],
 [495, -1129, 191, 354, -187, 782, 513, 253, -981, 112, -203, 361],
 [-988, 982, 1241, -413, -150, 95, -104, 94, 752, 816, 219, -1367],
 [-170, 53, 51, 1265, -283, -20, -157, 1434, -957, 947, 500, 45],
 [-1930, 395, 1361, -917, -431, 607, -1222, -1365, 651, 143, 44, -223],
 [-252, 401, -162, -576, -6, 1110, 334, -1591, 489, 856, -1391, 277]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-686, -95, -341, 104, 841, 451, -245, 161, 39, -234, 666, -136],
 [-373, 416, -323, 238, -626, -107, -336, -401, 153, 401, -337, 399],
 [-422, -674, 500, -412, 692, -121, 495, -325, -246, 286, -158, 270],
 [-949, -458, 11, -198, 1176, 475, 249, -388, -593, 513, 473, 336],
 [-204, -140, -70, 408, 454, 94, -316, 102, 470, -20, -382, -332],
 [753, 215, 151, -6, -628, -130, 181, -9, -257, 203, -278, -10],
 [170, 272, 133, -408, -951, -286, 386, -545, -619, 566, -91, 733],
 [250, -674, 742, -1064, 414, -169, 1056, -22, -868, -162, 666, 303],
 [315, -713, 797, -1050, 368, -272, 1031, 43, -699, -279, 544, 226],
 [-569, 213, -418, 602, 259, 354, -481, -318, 110, 613, -345, 61],
 [-883, -28, -207, 290, 354, 200, -217, -600, -57, 791, -373, 403],
 [519, 323, -73, -110, -346, 272, 256, -74, -801, 365, 388, 155]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-132, -396, -124, 206, -96, 58, -382, -286, 68, 346, -124, 28],
 [-290, -358, -344, 346, 635, 549, -167, 287, -80, 248, -59, -446],
 [316, 922, -294, -474, -542, 14, -66, 100, -62, -432, -408, 322],
 [-108, -259, 193, 148, 401, 12, 256, 157, -19, 29, 280, -227],
 [-264, 112, -728, 232, 868, 964, -140, 724, -216, 8, -284, -624],
 [50, 500, -646, -136, -175, 455, -421, 151, -86, -80, -559, 36],
 [12, 345, -683, -68, -279, 440, -596, -11, -47, 65, -620, 89],
 [-310, -214, -532, 338, 785, 767, -181, 481, -140, 184, -157, -558],
 [252, 376, 66, -309, -719, -358, -126, -336, 74, -141, -183, 460],
 [-60, 453, -583, -28, 465, 676, -40, 605, -187, -203, -304, -347],
 [-70, 409, -741, -6, 250, 713, -327, 422, -153, -69, -495, -239],
 [-358, -942, 174, 519, 606, 111, -21, -61, 46, 477, 336, -378]]

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[User]
Calculate the rank of matrix A where A =
[[-287, -320, -503, -237, 346, -328, -31, -109, -452, -182, -363, 355],
 [73, -214, 300, -194, -222, 21, 419, -21, -51, -7, 776, -541],
 [-79, -470, 84, -394, -78, -171, 523, -93, -339, -119, 784, -485],
 [83, -44, 225, -49, -162, 66, 199, 9, 54, 28, 421, -311],
 [46, 394, -119, 333, 100, 125, -472, 74, 265, 91, -735, 466],
 [-151, 52, -393, 65, 282, -126, -323, -21, -114, -56, -701, 523],
 [74, 94, 123, 71, -84, 87, -8, 30, 123, 49, 67, -74],
 [307, 272, 579, 193, -402, 336, 131, 105, 444, 182, 551, -487],
 [83, 150, 112, 118, -74, 107, -71, 41, 163, 63, -28, -15],
 [-316, -522, -455, -407, 304, -397, 202, -148, -593, -231, -7, 132],
 [417, 590, 658, 452, -446, 503, -129, 179, 727, 287, 238, -325],
 [-259, -232, -487, -165, 338, -284, -107, -89, -376, -154, -459, 407]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-165, -1426, 567, -422, -309, -231, 44, 395, 446, -1276, -8, -1511],
 [-458, -733, -402, -204, -1368, 1475, 469, 401, 210, 57, -571, -309],
 [-436, -518, -70, 238, -816, 1758, 837, 1086, 130, -539, 216, -281],
 [1052, -926, -338, 625, -106, -369, -298, -1281, 945, -949, -219, 889],
 [27, -1634, 308, -211, -754, 226, 577, 556, 621, -1453, 544, -1936],
 [-1398, -402, 938, -1085, 647, -1086, -1045, 604, -513, -1100, -672, -1092],
 [-390, 151, 546, -744, 941, -1637, -411, -20, -194, -816, 879, -1301],
 [804, -347, 601, 160, 208, 495, 460, 15, 460, -150, -28, -207],
 [-519, 173, 365, -849, 962, -903, -165, 591, -802, 392, -486, 17],
 [325, -61, 292, 30, 831, -1224, -794, -1127, 104, -18, -260, 115],
 [759, -436, -432, 627, 141, 933, -271, -628, -334, 390, -303, 1061],
 [219, -124, 431, -208, 856, 806, 44, 445, -782, 86, -621, 421]]

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[User]
Determine the rank of the following matrix:
[[274, -772, 1448, -434, 725, -198, 538, -1389, -750, -889, 1635, -321],
 [-1072, 778, -1100, -634, -220, 575, -599, 1, -737, -754, 939, 19],
 [1001, -435, 250, -198, 202, 155, -652, -971, 2001, -506, 389, -1878],
 [-401, 353, -1308, 402, 659, -328, -838, 219, 7, -116, -91, 620],
 [625, -677, 456, 1411, 879, -1344, 365, -1128, -154, -216, 1514, 860],
 [897, 355, -109, -699, -1526, 109, 659, -1232, -564, 1283, -783, 29],
 [-360, -764, 603, -459, -308, 243, 659, 400, -399, -50, -68, -625],
 [-1053, -406, -1291, 580, 181, -315, -620, 930, 235, 246, -738, 39],
 [-70, -326, 750, 1542, -197, -1615, 279, -84, -158, 1248, -740, 422],
 [-342, 97, 671, 543, 337, -1387, -552, -556, -173, 92, -111, -234],
 [478, 313, 936, 309, 608, -864, 270, -327, -716, 31, 628, -51],
 [756, 693, 1511, -1535, -30, 656, -140, -1203, 57, -763, 547, -1142]]

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[User]
Calculate the rank of matrix A where A =
[[508, 1062, -78, 286, 708, -32, 368, -350, -62, -368, -694, -452],
 [-735, -845, 172, -251, -916, 279, -225, 538, -214, 670, 868, 259],
 [-71, 351, 104, 81, -76, 127, 111, 14, -306, 110, 0, -245],
 [-373, -127, -45, -67, -244, 386, 207, 468, 58, 528, 377, 31],
 [557, 48, 252, 80, 126, -802, -605, -931, -397, -976, -530, -55],
 [44, 671, -225, 143, 446, 434, 606, 303, 247, 300, -181, -248],
 [-315, -650, 217, -164, -622, -129, -423, 25, -283, 94, 433, 199],
 [58, 257, -347, 41, 486, 358, 516, 367, 595, 268, -115, 30],
 [-362, 687, -222, 109, 162, 871, 854, 775, 169, 874, 200, -320],
 [-88, 223, 237, 59, -266, -28, -106, -137, -525, -8, 45, -240],
 [56, -416, 123, -82, -200, -343, -406, -266, -108, -290, 33, 174],
 [294, 1021, -102, 255, 574, 201, 502, -79, -41, -58, -484, -452]]

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[User]
Compute the rank of the given 12x12 matrix:
[[68, 51, 615, -432, 361, -43, -656, 533, 179, -75, -344, 102],
 [-86, 317, -561, 359, -234, -50, 548, -573, 193, -117, 104, 74],
 [-202, 594, -248, 212, 10, 106, 82, -280, 652, -40, -290, 110],
 [384, -394, 1166, -933, 565, -359, -1014, 992, -344, -296, -246, 186],
 [-279, 551, -40, 147, 112, 292, -207, -22, 748, 154, -429, 15],
 [26, 20, 854, -543, 485, 81, -956, 796, 264, 52, -488, 48],
 [410, -90, 544, -616, 298, -614, -314, 296, -284, -616, -38, 362],
 [26, -769, -31, 111, -220, 228, 124, 169, -741, 433, 448, -378],
 [157, -1044, 737, -413, 143, 215, -631, 901, -871, 469, 227, -383],
 [-226, -541, 201, 119, -40, 632, -344, 481, -229, 777, 52, -502],
 [115, -209, 986, -655, 502, 26, -1021, 932, 14, 52, -391, 17],
 [426, -162, 832, -793, 441, -571, -624, 582, -274, -562, -156, 344]]

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[User]
Find the rank of the matrix:
[[1034, 828, 491, 689, 575, 590, -183, 513, -845, 82, 144, -1054],
 [1880, -162, 469, 735, -27, 889, 935, 794, 128, -403, -781, -536],
 [-312, 26, -104, -657, -167, -288, 2441, -952, -574, -732, 466, -853],
 [176, -217, 222, 192, -147, 436, -1334, 184, 682, -270, -424, 684],
 [-1337, -256, -197, -778, -510, -407, 892, 28, 303, 146, 1310, 12],
 [-204, -332, 14, -888, -776, -593, -849, 668, -480, 839, -313, -152],
 [-831, 129, 206, 256, -28, -9, -200, 274, 549, 187, 629, 968],
 [-277, 35, 268, -472, -655, 101, 2363, 260, -137, -574, 1434, -582],
 [-274, -693, -392, -258, 341, 139, -2641, -422, 854, 157, -1323, 544],
 [469, 501, 833, -113, 6, 645, 880, 1257, -916, -202, 608, -679],
 [-1203, -373, -524, -361, 417, -335, 563, -728, 521, 151, 214, 131],
 [1143, 1056, 829, 1087, 586, 625, -581, -445, -734, -903, -860, 402]]

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[User]
Calculate the rank of matrix A where A =
[[35, 295, -817, -542, -1223, -695, 653, 729, -1185, -422, -1096, 356],
 [-663, 540, 129, 513, 235, -755, -167, 879, 634, 1124, -730, -269],
 [1087, -496, 1036, 1146, 989, 172, -1334, -846, 1388, -942, -155, 434],
 [277, 953, 543, 1546, 975, 1066, -975, -878, 612, 124, -86, 69],
 [581, -24, -702, 586, -141, 879, 1384, -1671, -1546, -572, -199, -491],
 [-1220, 480, 1290, -490, 1144, -842, 106, 592, 608, -344, 448, -418],
 [30, -56, -279, -415, 44, -1391, -154, 164, 180, 2021, 699, -817],
 [-146, 46, 1194, -14, 1032, -734, -1053, 311, 1311, -29, 507, 11],
 [155, -432, 711, 524, 673, -585, 620, 365, 982, -1708, -587, 388],
 [137, 136, 812, -449, 179, -1390, -1110, 1116, 897, -151, -185, 183],
 [-1038, 809, -664, -350, -714, 624, 502, 218, -857, -998, -403, 1567],
 [-142, -255, -34, 413, -164, -110, 80, 155, -116, 709, -1006, -728]]

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[User]
Find the rank of the matrix:
[[183, -194, 606, 3, 163, 350, 1644, 361, 566, 220, 509, -535],
 [-191, 36, -247, 27, -1210, 110, 814, -1164, 1414, -676, -526, 191],
 [525, -596, 631, 480, 19, 570, 59, -171, -247, -520, 282, 1095],
 [-177, 265, -1316, -323, -427, -10, 5, -753, 352, -642, -263, 939],
 [-253, -118, 389, 532, -766, 201, -552, 509, -312, -533, -182, -640],
 [337, -403, 371, 149, -460, -214, 283, 261, -454, 305, 561, 1144],
 [-751, -413, -527, 722, -577, -476, -322, 214, 12, -703, -819, 322],
 [-550, -160, -456, 385, 62, -58, -416, -559, 390, -9, -743, -341],
 [279, -125, 660, -53, 579, -719, -549, 746, -869, 639, 237, 432],
 [721, 328, 323, -458, -572, 230, -462, -126, -457, -334, 582, 805],
 [-519, 212, 359, -42, 137, -147, 1157, 556, 855, 447, -202, -2060],
 [813, 719, 415, -854, -1072, 400, 491, -34, 193, -804, 742, 283]]

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[User]
Calculate the rank of matrix A where A =
[[-96, -234, 72, 65, 406, 247, 104, 250, -260, -361, -305, -41],
 [-192, -180, -144, 106, 188, -58, 256, -124, -136, -170, -154, -202],
 [288, 102, 384, -145, 82, 409, -412, 550, -20, -67, -35, 373],
 [-16, 31, -58, 5, -84, -93, 29, -110, 50, 74, 60, -36],
 [208, -67, 418, -93, 364, 565, -321, 702, -202, -318, -248, 328],
 [192, 180, 144, -106, -188, 58, -256, 124, 136, 170, 154, 202],
 [48, -249, 330, -2, 590, 578, -113, 668, -358, -521, -427, 173],
 [-336, -513, -54, 202, 758, 278, 415, 212, -502, -677, -583, -271],
 [-144, -393, 150, 101, 700, 451, 149, 466, -446, -622, -524, -44],
 [48, 327, -246, -50, -658, -526, -17, -580, 410, 583, 485, -67],
 [-160, -170, -100, 90, 200, -10, 210, -60, -140, -180, -160, -160],
 [-48, 81, -162, 16, -226, -256, 85, -304, 134, 199, 161, -103]]

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[User]
Determine the rank of the following matrix:
[[-633, 1203, -707, -296, 1000, 844, -1172, -1022, 222, -849, 833, 343],
 [-261, -332, -258, -145, 33, -340, 51, 536, -395, -117, -370, -158],
 [986, -316, 402, -271, -1040, -687, 725, 450, 407, 248, -1364, 435],
 [282, -139, 723, 67, -243, 98, 457, -30, -57, 742, 409, -329],
 [-258, 187, 207, -631, -51, -158, 89, -6, -1107, 266, 47, -721],
 [-2, 830, 460, -326, 582, 898, -312, -640, 630, 386, 1158, 202],
 [376, 5, 72, 27, -426, -206, 162, -126, 89, -56, -465, 140],
 [-26, -557, -34, 207, -157, -333, 271, 529, -132, 90, -298, -113],
 [934, -786, 1135, -240, -700, -385, 1190, 1163, 833, 1266, -519, 282],
 [-504, 1020, -1053, -15, 771, 583, -1208, -988, 379, -1262, 288, 602],
 [-478, 967, -93, -498, 639, 639, -650, -826, -382, -168, 885, -240],
 [739, -156, 381, -370, -561, -340, 512, 501, 695, 309, -859, 553]]

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[User]
Determine the rank of the following matrix:
[[170, -306, 272, -51, -136, -238, -187, 85, -442, -272, -357, -408],
 [110, -198, 176, -33, -88, -154, -121, 55, -286, -176, -231, -264],
 [200, -360, 320, -60, -160, -280, -220, 100, -520, -320, -420, -480],
 [230, -414, 368, -69, -184, -322, -253, 115, -598, -368, -483, -552],
 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
 [-250, 450, -400, 75, 200, 350, 275, -125, 650, 400, 525, 600],
 [20, -36, 32, -6, -16, -28, -22, 10, -52, -32, -42, -48],
 [-40, 72, -64, 12, 32, 56, 44, -20, 104, 64, 84, 96],
 [160, -288, 256, -48, -128, -224, -176, 80, -416, -256, -336, -384],
 [-210, 378, -336, 63, 168, 294, 231, -105, 546, 336, 441, 504],
 [70, -126, 112, -21, -56, -98, -77, 35, -182, -112, -147, -168],
 [-90, 162, -144, 27, 72, 126, 99, -45, 234, 144, 189, 216]]

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[User]
Find the rank of the matrix:
[[-918, -89, 388, -1013, -281, -776, 1111, 436, 5, -90, -144, 627],
 [-187, -785, -51, 402, -876, 174, 174, 1073, 59, -624, 120, 1241],
 [-283, -416, -343, 887, -721, 460, -1094, 258, -916, 921, -477, 116],
 [-624, 440, 943, -474, 176, 413, 54, -1415, -169, 443, -1253, 888],
 [-1122, -817, -133, -343, -325, 398, 164, -210, -808, 851, -1017, 1135],
 [672, 251, 258, -910, 1019, -1295, -1067, -886, 900, -315, -1108, -703],
 [719, 242, -268, -752, 1418, -522, 270, -709, 653, -375, -795, 361],
 [-1072, -806, -162, -1343, -247, -219, 1418, 7, 304, -279, 485, 168],
 [241, -1009, -600, -953, 1244, -389, 984, 624, 461, -593, 402, -189],
 [-546, -354, -13, -803, 1497, 364, 549, -503, -22, 1049, -768, -1370],
 [610, -416, 117, 1088, -1414, 715, -210, 723, -27, -993, 996, 1313],
 [766, 16, -177, -1032, 1689, -1004, 547, 19, 1700, -1323, -146, -612]]

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[User]
What is the rank of the matrix:
[[112, -24, -216, 14, -28, 270, 64, -566, -318, 438, 442, -444],
 [-154, -396, 132, 0, -308, 528, 440, -792, -396, 836, 286, -858],
 [331, 450, -438, 18, 338, -294, -452, 234, 72, -452, 221, 471],
 [-318, -528, 384, -13, -402, 483, 552, -575, -255, 755, -13, -780],
 [127, -30, -246, 16, -34, 312, 76, -652, -366, 506, 507, -513],
 [134, -12, -252, 16, -20, 288, 56, -616, -348, 468, 494, -474],
 [44, -132, -132, 11, -110, 363, 176, -671, -363, 583, 429, -594],
 [-59, -18, 102, -6, -10, -78, 4, 186, 108, -128, -169, 129],
 [700, 708, -1020, 49, 518, -111, -656, -397, -321, -139, 975, 162],
 [-114, -48, 192, -11, -30, -123, 24, 311, 183, -203, -299, 204],
 [-174, -180, 252, -12, -132, 36, 168, 84, 72, 48, -234, -54],
 [335, 282, -510, 26, 202, 66, -244, -398, -264, 124, 585, -117]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[-74, -26, 108, -313, -38, 91, -193, 81, 242, 51, 8, -93],
 [-16, -40, 105, -506, -193, 458, -89, 357, 250, 372, 49, -510],
 [176, 64, -262, 772, 102, -244, 462, -214, -588, -144, -22, 252],
 [250, 90, -370, 1085, 140, -335, 655, -295, -830, -195, -30, 345],
 [18, -30, 60, -387, -186, 441, -3, 339, 150, 369, 48, -495],
 [36, 20, -70, 246, 58, -138, 104, -112, -160, -102, -14, 150],
 [10, -30, 65, -385, -175, 415, -20, 320, 160, 345, 45, -465],
 [-28, 20, -30, 262, 146, -346, -32, -264, -80, -294, -38, 390],
 [50, 2, -36, 13, -58, 137, 109, 99, -74, 129, 16, -159],
 [46, -10, -5, -139, -117, 277, 84, 208, 0, 243, 31, -315],
 [-112, 8, 51, 130, 197, -466, -227, -345, 94, -420, -53, 534],
 [160, 16, -138, 164, -134, 316, 362, 222, -292, 312, 38, -372]]

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[User]
Determine the rank of the following matrix:
[[236, -107, -248, 3, -567, 40, -393, 210, -22, 259, 484, 464],
 [-240, -122, -86, 142, 706, -336, -144, -290, -66, -662, -462, -690],
 [-646, 506, 73, 513, -182, -135, 400, 22, 545, 84, -224, 128],
 [88, -115, -125, -7, -33, -56, -224, 9, -71, -69, 95, 1],
 [-230, -179, -326, 284, 443, -451, -480, -211, -20, -671, -247, -521],
 [-370, 450, 330, 155, -100, 145, 675, 35, 350, 300, -215, 155],
 [-282, 336, 221, 137, -108, 95, 472, 36, 273, 226, -138, 138],
 [-212, 402, -17, 296, -872, 132, 191, 307, 439, 614, 371, 769],
 [-268, 115, 25, 177, 213, -134, 114, -99, 131, -191, -245, -211],
 [494, -543, -83, -438, 581, -31, -415, -184, -565, -427, -56, -508],
 [318, -139, -48, -198, -277, 151, -160, 125, -150, 229, 309, 267],
 [-124, 489, 91, 207, -1129, 314, 362, 419, 473, 923, 517, 1043]]

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[User]
What is the rank of the matrix:
[[-641, -127, 689, 1154, -786, 85, -326, 335, -458, 178, -495, -1047],
 [-1898, 1228, -402, -354, 507, -310, -74, 1483, -845, -250, -172, -143],
 [-395, -259, 809, -1471, -944, -9, -670, -98, -390, 28, -421, -210],
 [-1175, -138, 1222, 1656, 295, 153, -979, -700, 742, -948, 1635, 417],
 [7, 214, 148, -108, -717, 1193, -900, 903, -1279, -653, -822, -528],
 [-1981, -82, 365, -769, -369, -1200, -40, 128, 778, -361, -27, 836],
 [276, 227, -250, 568, -272, -696, 695, -237, 319, -184, -338, 4],
 [-1794, 1764, -293, -114, 403, -239, 739, 854, -868, -279, -1052, -169],
 [1382, -310, -291, -284, -948, -208, 736, -459, 369, -623, -854, 115],
 [691, -88, 1060, -650, -610, -582, 511, -1500, 241, -423, -158, -168],
 [-1047, -263, 838, 199, -389, 403, -886, -34, 510, -886, 975, 500],
 [432, 1110, -188, -820, 689, 3, 92, -167, -797, -345, -363, -685]]?

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[User]
Determine the rank of the following matrix:
[[-435, 518, 183, -121, -507, -162, 516, 723, -571, 1415, 588, -377],
 [-159, 262, 1157, 680, 542, -139, 248, -554, -273, 1038, 1164, -262],
 [-1435, -368, -73, 846, -736, 179, -19, 79, 30, 655, 171, -522],
 [1025, 431, -535, -1076, -258, -332, 159, 233, -29, -325, -358, 380],
 [346, 154, 868, -1227, -1311, -17, 444, -337, -468, 2089, 412, -763],
 [-1469, 396, -431, -263, -1135, 1021, 163, 758, -400, 817, -745, -66],
 [427, -1071, 239, -1183, -356, 534, -377, 101, -619, -320, -1179, 62],
 [-173, 488, -434, -770, -893, -968, 848, -102, -155, 1263, -135, 749],
 [199, -1008, -340, 68, -440, 132, -589, -178, 580, -907, -113, -903],
 [131, -90, -1003, -104, -483, -771, -23, 414, 28, -546, -690, 650],
 [-41, 922, -187, 591, 640, -678, 628, 344, 233, 362, 1393, -145],
 [74, -62, -175, 1108, 379, -235, -259, 783, 233, -524, 1384, -1313]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-294, 137, 49, -470, 643, 37, -9, 678, -1016, -763, -415, 90],
 [-10, -130, -141, 190, 430, 301, -1032, -181, -1, -903, 556, 425],
 [-46, 184, -10, 400, 137, 308, -504, -386, 84, -405, 274, 437],
 [-239, -836, 356, -501, 659, 377, -174, 323, -257, -490, -476, -533],
 [-33, 830, 129, 453, -99, 44, 372, -308, -202, 17, -250, 380],
 [-368, -1122, -697, -874, 129, 43, -986, 915, -269, -120, 796, 196],
 [175, 6, 208, 231, -12, 39, 66, -347, 329, 5, -86, -200],
 [170, 235, 345, 52, 559, -5, -20, -48, -279, -817, -364, -227],
 [212, -420, 110, -156, -402, -242, 514, -46, 552, 784, -158, -646],
 [276, -424, -385, -1318, 389, -1017, 126, 1505, -825, -478, -16, -746],
 [-484, 319, -73, 76, -136, 319, 224, 82, -431, 318, -190, 554],
 [479, 63, -703, 205, -577, -540, -688, -151, 666, 188, 1240, 349]]

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[User]
What is the rank of the matrix:
[[1809, -360, 743, -228, 156, -373, -654, -10, 534, -674, -1096, 782],
 [-895, -356, -607, 156, 225, 176, 376, 47, -388, 699, 740, -56],
 [-706, -381, 377, -1728, -566, -1008, 168, 1215, 70, -163, -458, -443],
 [114, 638, 784, -398, -583, -739, 1450, -408, -935, -41, 306, 1329],
 [-505, -1210, -419, 365, 669, 576, 69, 1497, -168, 224, 237, -36],
 [529, 1338, 281, 58, -21, -662, 1598, -714, -825, 467, 202, 963],
 [-1603, 754, -257, 478, -367, -166, -62, 877, -152, -186, 102, -490],
 [-150, 303, -554, -117, -419, -734, 27, 278, -789, 61, 345, 933],
 [-5, -307, 764, -79, 764, 865, 689, 445, -319, -214, 671, -313],
 [-309, -467, 405, -540, 44, -241, 1252, 1323, -1003, -112, 593, 889],
 [1185, -813, 582, 551, 285, 1581, -603, -349, -864, -1212, 1366, 938],
 [-908, 689, -546, -697, -539, -245, 2051, -803, -962, 1352, 852, -300]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[609, 6, 315, 737, 418, -582, -129, 396, 729, -1225, 117, 1137],
 [167, 16, -79, 191, 542, -454, -247, 158, 151, -983, -83, 827],
 [73, 147, 271, 398, -958, 60, 213, 121, 585, 863, 881, -246],
 [-628, 338, -1076, -349, 467, -649, -261, -229, -384, -357, 438, 839],
 [100, -206, 334, -134, 347, -157, -643, 265, -68, -993, -403, 332],
 [63, 302, -609, 405, 379, -497, 424, -123, 263, -194, 408, 823],
 [96, 332, -194, 607, -526, -330, 416, 36, 676, 518, 1033, 417],
 [383, -163, 451, 239, 128, 74, -9, 179, 219, -393, -318, 41],
 [451, 128, -131, 623, 318, -134, 733, -74, 419, -27, 29, 403],
 [-231, -305, 691, -514, -268, -146, -1485, 519, -135, -1007, -77, 94],
 [-225, 319, -779, 121, 591, -911, -300, 24, 99, -954, 523, 1381],
 [-448, -136, 240, -569, -119, -423, -1495, 419, -212, -1075, 182, 459]]

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[User]
Calculate the rank of matrix A where A =
[[182, 135, 266, -616, 430, 341, -83, -240, -158, 225, -23, 182],
 [685, -785, -290, 521, 56, -170, 416, 253, -767, 443, -305, 681],
 [-512, 325, 29, 261, -472, -327, -70, 368, 624, -599, 149, -888],
 [-186, 460, 322, -858, 204, 624, -280, -290, 364, -38, 342, -228],
 [-38, 100, 246, -387, -406, 403, 108, 730, 557, -453, 465, -1075],
 [382, -205, 241, 189, 164, -605, 350, 662, -372, -107, -507, -412],
 [-53, -435, -599, 1166, -286, -694, 121, -151, -337, 135, -313, 683],
 [-329, -115, -497, 895, -292, -523, -77, -335, -24, 4, -138, 492],
 [582, -275, 246, -214, 414, -95, 275, 300, -556, 245, -367, 96],
 [61, 80, 218, -252, 8, 62, 63, 307, 110, -153, 37, -446],
 [247, -465, -289, 241, -364, 329, 201, 269, -50, 104, 294, 138],
 [105, 190, 340, -301, 378, -223, 15, 71, -155, -20, -312, -199]]

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[User]
Calculate the rank of matrix A where A =
[[-821, -1167, -734, -446, 1241, 769, -670, 1172, 84, 466, 502, -112],
 [134, 213, 319, 269, -213, -775, 938, -1447, -1264, -268, -1715, 1514],
 [545, 1419, 742, 1246, -715, -348, -733, 384, -242, -225, 597, -511],
 [-387, -820, 276, -235, -265, -145, 562, 329, 441, 362, 258, -133],
 [-477, 200, -651, -826, 574, -1025, 1312, -1159, 572, 398, -629, 1076],
 [-115, -129, 171, -368, 162, 1211, -711, 148, -16, -159, -585, -57],
 [-354, -538, 831, 314, -505, 1, -172, 768, 67, 536, -249, -29],
 [-582, 174, 79, 146, 544, -455, 237, -383, -631, 340, -1111, 1303],
 [1014, 886, -98, 394, -328, 619, -771, -276, -439, -947, 392, -746],
 [354, -423, 572, 318, -557, 1092, 68, -48, -779, -1077, 649, -648],
 [-60, -533, -803, -375, 208, -893, -179, 1010, 1334, 1058, 901, -732],
 [747, 301, -473, -170, 96, 631, -843, -308, -328, -455, -541, -233]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-236, -345, 839, 1095, 385, 702, -311, 971, 70, 224, -615, 244],
 [1815, 452, -1042, -667, -266, 526, -885, -926, 140, -89, -98, -506],
 [493, -409, 193, 481, -267, -619, 1344, -43, 11, -1107, 711, 403],
 [-805, -892, 1220, 1312, 154, 85, 935, 271, 547, 280, 244, 705],
 [-120, -81, -538, -460, -277, -643, -265, 118, -1097, -642, 298, 174],
 [-701, -1097, 309, 508, 183, -157, 434, 12, -293, -58, -652, 859],
 [777, -182, -536, -166, 152, 404, -265, -1204, 566, 827, -1033, 185],
 [-242, 594, -205, 617, -245, -935, 349, 139, -240, 679, -346, 560],
 [0, 1108, -317, 643, -956, -746, 952, 598, 590, -17, 366, 30],
 [890, 834, -627, 173, -633, -184, 179, -451, 639, 387, 109, -107],
 [1643, 1061, 57, 570, -211, 218, 116, 183, 598, -191, 669, -537],
 [1172, -34, 1091, 543, 658, 762, 996, -165, 1306, -404, 548, -521]]

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[User]
Find the rank of the matrix:
[[118, 394, -127, -163, 60, 507, -391, -138, 916, 753, 226, -211],
 [-324, -774, 379, 200, -85, -313, 277, 573, -657, -257, -311, -246],
 [331, 762, 1168, -502, -776, -93, 1617, -357, -88, -621, 435, 361],
 [38, -197, -303, 256, 625, 170, -94, -338, -592, 70, -161, 707],
 [-277, -522, 219, 187, 272, 226, 607, -546, -257, 306, -230, 915],
 [-511, -958, -633, -125, -294, -428, -693, 290, -498, -865, -667, -675],
 [-768, -260, -1046, -10, -123, -50, -798, 1019, -596, -153, 158, -119],
 [-549, 778, -505, -37, 241, -48, -84, 1319, -402, 699, 932, -214],
 [627, 1038, -283, 656, 496, -38, -702, 557, 548, 762, 761, 136],
 [-453, 622, -817, -277, 821, 1838, -409, -618, 1075, 2299, 665, 1223],
 [-219, -639, -1190, 767, 961, 74, -1489, 309, -176, 619, -301, 215],
 [751, 282, 1317, -168, -133, 104, 965, -841, 681, 109, -114, -160]]

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[User]
Determine the rank of the following matrix:
[[-612, 120, -194, 362, 664, 626, 652, 990, 46, -318, -38, 180],
 [222, 308, -73, 489, 612, -483, -432, -33, -27, -493, 439, -156],
 [-99, 848, -429, 1805, 927, -1313, 797, 141, -431, -112, -540, 14],
 [110, -764, 328, -1234, -542, 630, -477, -98, 821, -92, 853, 305],
 [737, -40, 121, 183, -273, -1427, -511, -1067, 385, 53, 488, 110],
 [-302, 336, -207, 625, 464, 9, 483, 443, -290, -75, -362, -29],
 [-472, -304, -54, -38, -652, 110, 1318, 160, 210, 785, -794, 542],
 [476, 280, -6, 390, 144, -854, -532, -572, -164, -131, 168, -232],
 [103, 316, -47, 181, 569, 159, -624, 173, -332, -500, 267, -401],
 [-80, 800, -384, 1584, 688, -1128, 720, 44, -580, 50, -724, -88],
 [-492, -356, 41, -565, -290, 1007, 520, 555, 151, 214, -225, 222],
 [-373, 460, -219, 537, 917, 543, 36, 823, -458, -527, -71, -293]]

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[User]
Calculate the rank of matrix A where A =
[[-330, 647, -165, -257, -455, 83, 138, -456, -182, -331, 669, 84],
 [-60, 142, -45, -67, -100, 13, 18, -81, -22, -56, 144, 9],
 [22, -61, 22, 32, 43, -4, -4, 29, 4, 19, -61, -1],
 [-382, -159, 368, 458, 117, 174, 424, -599, -624, -539, -59, 331],
 [328, 260, -392, -496, -188, -160, -400, 524, 592, 484, 164, -316],
 [-290, 195, 85, 85, -135, 105, 230, -430, -330, -355, 245, 170],
 [28, 166, -122, -162, -118, -26, -76, 56, 116, 66, 146, -64],
 [4, 598, -371, -501, -424, -53, -178, 53, 278, 108, 548, -157],
 [-224, 548, -179, -265, -386, 47, 62, -301, -74, -206, 554, 29],
 [-496, -184, 464, 576, 136, 224, 544, -776, -800, -696, -56, 424],
 [-42, -517, 348, 466, 367, 62, 192, -105, -296, -145, -465, 165],
 [-120, -252, 240, 312, 180, 72, 192, -204, -288, -204, -204, 156]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-147, -56, 182, 175, 168, -133, -91, -119, -168, 77, 14, -84],
 [-147, -56, 182, 175, 168, -133, -91, -119, -168, 77, 14, -84],
 [42, 16, -52, -50, -48, 38, 26, 34, 48, -22, -4, 24],
 [483, 184, -598, -575, -552, 437, 299, 391, 552, -253, -46, 276],
 [-525, -200, 650, 625, 600, -475, -325, -425, -600, 275, 50, -300],
 [21, 8, -26, -25, -24, 19, 13, 17, 24, -11, -2, 12],
 [231, 88, -286, -275, -264, 209, 143, 187, 264, -121, -22, 132],
 [357, 136, -442, -425, -408, 323, 221, 289, 408, -187, -34, 204],
 [-378, -144, 468, 450, 432, -342, -234, -306, -432, 198, 36, -216],
 [525, 200, -650, -625, -600, 475, 325, 425, 600, -275, -50, 300],
 [-168, -64, 208, 200, 192, -152, -104, -136, -192, 88, 16, -96],
 [168, 64, -208, -200, -192, 152, 104, 136, 192, -88, -16, 96]]

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[User]
Determine the rank of the following matrix:
[[591, 565, -636, -529, 460, -235, -225, -760, 128, -478, 434, 457],
 [78, 454, 602, -185, 118, 431, 1609, 1129, 67, -867, 964, 542],
 [517, 873, -235, -418, 441, -263, 444, 72, -217, -428, 656, 299],
 [-209, 495, -434, 122, -872, -640, 346, 1518, 1013, -421, 1208, 867],
 [160, -671, 396, 478, -43, 775, -748, -659, 425, 779, -308, 398],
 [-851, -332, 120, -565, 88, -344, 335, 661, -29, -310, 645, -351],
 [16, 83, 438, 230, -284, -59, 581, 327, -11, -265, -420, -837],
 [-230, -200, 637, -280, -384, 154, 45, 787, 348, 109, 442, -151],
 [739, -233, 515, 342, 606, 693, -797, -1293, 197, 681, -137, 218],
 [-718, -1089, -129, 3, 200, 144, -770, -764, -874, 137, -1256, -419],
 [-559, 164, -1520, -644, -167, -1201, -655, 18, -188, -553, 135, 260],
 [887, 405, 236, 1543, 298, 134, 138, -629, -190, 195, -717, 104]]

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[User]
Determine the rank of the following matrix:
[[-760, 128, -1104, -161, 471, 1128, 1290, 492, 306, -94, 1001, -613],
 [-284, -61, -255, 615, 1068, -783, -799, 862, 1047, 896, 1496, -1509],
 [195, -865, -309, 523, 307, -880, -883, -422, -766, -98, -1185, 180],
 [536, 364, 706, 386, 80, -763, -765, 356, 403, 780, 41, -1160],
 [-123, 1086, -127, -542, 213, -386, -233, 423, -379, -633, 28, 1256],
 [1046, -705, -408, 1061, -182, -718, -771, -209, -596, -725, 227, -501],
 [625, 15, -1389, -123, 294, 61, -90, 148, 64, -818, 287, -93],
 [585, 959, 340, -433, 467, -117, -638, -330, 674, -791, -141, 898],
 [-616, -727, -164, 391, -156, -535, -335, -79, -748, 435, 598, 249],
 [-1299, -162, 234, 18, 659, 877, 678, -625, 49, 649, -49, -34],
 [272, 794, 703, -2, -543, -320, 29, 336, 651, 1326, 915, -1554],
 [174, 691, -519, 344, 540, 194, -266, -116, -469, -711, 1110, 129]]

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[User]
Find the rank of the matrix:
[[114, -209, 38, -76, -57, 133, -380, 209, 190, -437, 133, 285],
 [-30, 55, -10, 20, 15, -35, 100, -55, -50, 115, -35, -75],
 [-24, 44, -8, 16, 12, -28, 80, -44, -40, 92, -28, -60],
 [78, -143, 26, -52, -39, 91, -260, 143, 130, -299, 91, 195],
 [108, -198, 36, -72, -54, 126, -360, 198, 180, -414, 126, 270],
 [144, -264, 48, -96, -72, 168, -480, 264, 240, -552, 168, 360],
 [-30, 55, -10, 20, 15, -35, 100, -55, -50, 115, -35, -75],
 [-132, 242, -44, 88, 66, -154, 440, -242, -220, 506, -154, -330],
 [24, -44, 8, -16, -12, 28, -80, 44, 40, -92, 28, 60],
 [-84, 154, -28, 56, 42, -98, 280, -154, -140, 322, -98, -210],
 [6, -11, 2, -4, -3, 7, -20, 11, 10, -23, 7, 15],
 [-42, 77, -14, 28, 21, -49, 140, -77, -70, 161, -49, -105]]

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[User]
Find the rank of the matrix:
[[-1350, -154, -51, 1082, 269, 386, -605, -440, -67, -3, 667, 1093],
 [957, -735, -1762, -663, -961, 1435, -1201, -953, -547, 495, 1052, -37],
 [437, -553, -924, -559, 444, -402, -434, 172, -542, 716, 31, -66],
 [825, -1189, 278, 359, -10, 472, 1097, -58, -849, -296, -152, 1204],
 [1044, -354, 301, -846, 129, -115, -729, 334, 417, 516, 60, -370],
 [299, 241, 1369, -350, 500, -747, -142, 715, 704, 605, 971, 337],
 [-128, 26, -821, 653, 674, 839, -34, -125, -562, -966, 33, -66],
 [-667, -1337, -557, -412, 662, 64, 763, -63, -1469, 132, -115, 964],
 [-819, 1170, 1382, 1475, 988, -740, 388, 1190, 720, -697, -1307, -49],
 [1050, 862, 209, 136, -1854, 178, 581, -1212, 764, -145, 375, -353],
 [-216, 298, 792, -90, 1837, -1004, -239, 1636, 859, -175, -405, 121],
 [561, 379, -132, -255, -654, -604, -334, -104, 975, -5, -373, -1093]]

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[User]
Find the rank of the matrix:
[[677, 294, -467, 856, 389, 122, -17, 500, 83, 319, -688, -306],
 [-150, 467, -55, 372, 302, -217, -293, 475, 463, 301, -366, -579],
 [-153, -962, -161, -599, 13, 271, 533, -473, -34, -551, 814, 82],
 [-629, -180, 478, -729, -399, -95, -48, -441, -96, -233, 556, 316],
 [438, -279, -183, -311, -24, -222, 327, -220, -378, -289, 208, 331],
 [-1113, 685, 1112, -346, -817, 43, -764, -279, -60, 336, -6, 479],
 [7, 843, 269, 122, -101, -569, -451, 283, -44, 338, -488, 33],
 [-611, -338, -22, 67, 211, 431, -4, 73, 596, -13, 272, -574],
 [-237, 301, 360, 258, -333, 367, -324, -43, -92, 284, -262, 255],
 [740, 660, -81, 154, -20, -688, -121, 218, -452, 172, -554, 324],
 [-137, -440, -169, 324, 127, 716, 137, -10, 251, 3, 88, -236],
 [-406, 1021, 724, -19, -496, -420, -710, 84, -156, 443, -454, 343]]

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[User]
Calculate the rank of matrix A where A =
[[126, -28, -98, 7, 70, -49, 126, -168, 98, 154, -98, 98],
 [432, -96, -336, 24, 240, -168, 432, -576, 336, 528, -336, 336],
 [-180, 40, 140, -10, -100, 70, -180, 240, -140, -220, 140, -140],
 [18, -4, -14, 1, 10, -7, 18, -24, 14, 22, -14, 14],
 [216, -48, -168, 12, 120, -84, 216, -288, 168, 264, -168, 168],
 [-432, 96, 336, -24, -240, 168, -432, 576, -336, -528, 336, -336],
 [-378, 84, 294, -21, -210, 147, -378, 504, -294, -462, 294, -294],
 [342, -76, -266, 19, 190, -133, 342, -456, 266, 418, -266, 266],
 [252, -56, -196, 14, 140, -98, 252, -336, 196, 308, -196, 196],
 [-378, 84, 294, -21, -210, 147, -378, 504, -294, -462, 294, -294],
 [432, -96, -336, 24, 240, -168, 432, -576, 336, 528, -336, 336],
 [468, -104, -364, 26, 260, -182, 468, -624, 364, 572, -364, 364]]

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