[User]
Compute the rank of the given 12x12 matrix:
[[-25, 25, -54, -50, 15, 0, -49, -55, -43, 42, 97, 69],
 [86, -72, -8, 46, -60, 42, -28, -4, -94, -14, -38, 74],
 [-148, 146, -292, -278, 90, -6, -262, -298, -220, 230, 532, 364],
 [-209, 193, -230, -274, 135, -48, -185, -239, -83, 202, 473, 221],
 [458, -391, 62, 313, -315, 201, -43, 83, -370, -145, -362, 226],
 [82, -89, 274, 227, -45, -21, 259, 277, 262, -203, -466, -382],
 [-319, 263, 86, -134, 225, -168, 161, 71, 419, 14, 55, -365],
 [353, -281, -234, 58, -255, 216, -319, -217, -637, 78, 151, 627],
 [83, -66, -56, 13, -60, 51, -76, -52, -151, 19, 37, 149],
 [-44, 63, -358, -259, 15, 57, -353, -359, -404, 251, 572, 544],
 [-282, 264, -360, -402, 180, -54, -300, -372, -174, 306, 714, 378],
 [-352, 279, 250, -47, 255, -219, 335, 233, 656, -89, -176, -652]]

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[User]
Compute the rank of the given 12x12 matrix:
[[901, 493, 715, -538, 509, -308, 855, 446, 71, -639, -905, 226],
 [-860, 494, -339, 78, -1383, -339, 331, -1210, 296, 1049, 546, -650],
 [-922, -1002, 381, 1165, 7, -774, 721, -568, 177, -267, -931, -180],
 [1533, 17, 202, -354, 951, -10, 110, 573, -299, 513, -57, 512],
 [-232, -320, -1165, -95, 644, -179, -54, -157, 575, -389, 453, 244],
 [1181, 439, 130, -344, -99, 273, -276, 1052, -673, 214, 875, 714],
 [-1523, -1171, -780, 934, 647, -998, 791, -727, 1077, -922, -549, -24],
 [-1512, -834, -874, 420, 246, 593, -1096, -411, 336, -871, -2, -430],
 [1017, 900, 380, -379, -1168, 343, -271, 58, -876, 1433, 887, -22],
 [499, -279, 183, 322, 472, -625, 638, 861, 13, -91, 317, 854],
 [913, 283, -158, 37, -875, 466, -770, 464, -1068, 1104, 1432, 412],
 [481, 601, 933, -363, -197, 137, 91, 142, -86, 1313, 10, -220]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-394, -226, 458, -166, 307, 283, 855, 653, 678, -1080, -734, 1628],
 [141, -250, 662, 193, 7, -870, -534, 522, 559, -1409, 889, 112],
 [881, -788, -92, -682, -651, -137, 1161, 65, -1347, -125, -1023, 151],
 [320, 416, 140, 877, 117, 483, -770, -33, -41, 687, -332, -1197],
 [228, 99, 484, 180, -192, 148, -1070, -261, -238, -560, 738, -302],
 [124, 627, 864, 324, 509, -863, -1507, -326, 1517, -1882, 1255, 479],
 [-1508, 57, 1847, -738, -1554, 64, -1019, 1222, -78, -1176, -236, 713],
 [-1125, 652, -230, 954, 89, -1209, -65, 340, 1509, 450, 49, -544],
 [452, 690, -708, 752, 1644, 1094, -115, -633, 997, 347, 606, 408],
 [25, 1188, -386, 544, 101, 1299, -558, -224, -131, 1114, 596, -358],
 [333, 193, -180, 756, 294, -120, 477, 384, 397, -576, 484, 366],
 [765, -290, 125, -477, 303, 58, 381, -558, 77, -846, -113, 978]]

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[User]
Compute the rank of the given 12x12 matrix:
[[255, -241, 325, 335, -323, 400, -159, 165, 85, 427, 7, 232],
 [-140, -502, 45, -32, -561, -173, 505, -166, 491, 27, 153, 698],
 [222, -591, 514, 264, -417, 378, -173, -61, -47, 464, 15, 402],
 [184, 408, -65, 225, 102, 233, -160, 362, 76, 137, -33, -237],
 [-152, -82, 453, -645, 464, -553, 374, -504, -194, -377, 239, 369],
 [237, 556, -311, 515, -306, 352, 106, 732, 680, 281, 24, -14],
 [440, 323, 179, 552, -94, 631, -388, 577, 96, 515, -58, -174],
 [-199, -124, 29, -282, -313, -488, 887, -122, 747, -223, 326, 849],
 [-337, 685, -728, -248, -163, -687, 1147, 313, 1207, -540, 308, 467],
 [22, -199, 38, 72, 11, 158, -329, -101, -339, 92, -133, -222],
 [350, -322, 185, 635, -356, 785, -738, 260, -310, 639, -251, -281],
 [615, -371, 450, 948, -533, 1167, -931, 489, -259, 1010, -254, -189]]

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[User]
What is the rank of the matrix:
[[-544, 902, 738, 1007, 425, -230, -68, 499, 841, -501, -698, -1348],
 [275, -386, -334, 599, 286, -883, 42, 692, -100, 719, -1435, 418],
 [157, 351, 862, 22, -337, -193, 150, 345, 669, 299, -336, -130],
 [802, -381, -109, -328, 401, -1010, 388, -700, -57, 764, -563, 1084],
 [-230, -155, -604, 454, 408, -109, -240, 331, -208, -323, -596, -424],
 [-245, 313, 1215, 777, -299, -343, 375, 306, 266, -97, -373, -185],
 [444, -781, -320, -975, 237, -707, 692, -112, -41, 706, -162, 1168],
 [-117, -508, -400, -160, 625, -734, 455, 517, 169, 44, -869, 69],
 [-549, -171, -333, 486, 178, 140, -10, 367, -411, -392, -9, -272],
 [703, -126, -164, -308, -1407, 767, -668, 727, -321, 1546, 339, 1048],
 [-645, 172, 172, -227, 334, 131, 237, 490, 635, -847, -34, -1043],
 [-138, 211, 251, 953, -694, 290, -416, 1048, -181, 623, -381, -6]]?

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[User]
Calculate the rank of matrix A where A =
[[2, 677, 921, 802, 333, -315, 1958, 987, 286, -921, -459, 200],
 [-99, -815, 30, 330, -1352, 1506, 573, -103, -641, -151, 656, -107],
 [773, -734, 583, 171, -846, -843, 159, -205, -54, -438, 1280, 83],
 [1456, -428, 954, -1397, -781, -628, -557, -323, 50, -1012, 318, 17],
 [-618, 178, -842, -203, -616, -417, -478, -1115, 878, 870, -371, 1316],
 [359, 348, -143, 286, -740, -106, -229, -202, 188, 288, 613, 1459],
 [439, 304, 1213, -56, -9, -398, -1102, 72, 21, -411, -157, -349],
 [783, -517, 854, 218, -115, 307, 308, 1087, 446, -876, 324, 486],
 [-279, 189, 106, 141, 870, 1200, 868, 1198, -28, -469, -930, -399],
 [152, 77, 1095, -36, -289, -530, 1492, 181, 260, -1097, -493, -353],
 [-66, 13, -466, -375, 1377, -393, -286, 377, 21, 151, -373, -755],
 [1147, -77, -719, -1279, 666, -158, -298, 301, -398, -160, 424, 61]]

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[User]
What is the rank of the matrix:
[[629, 550, 1197, 1475, -2088, 699, -105, -271, -191, -1356, 70, -449],
 [340, -702, -644, -55, 634, 79, -33, 718, -392, -229, 271, 800],
 [-198, -84, 701, -197, 134, -1183, 837, 75, 295, -137, 621, -381],
 [-934, 635, -867, -1097, 46, -24, 644, -501, 740, 751, 693, -132],
 [-537, -904, -395, 1070, -985, 644, -1065, 1139, -323, -97, -139, -397],
 [526, 403, 934, 619, -893, 596, -15, 448, 290, -1045, 38, -293],
 [-369, 1377, 988, -354, 665, -229, 315, -251, -71, -506, -679, -856],
 [1205, -667, -464, -1039, -275, -684, 302, 607, -266, 244, 855, 1364],
 [28, 347, -32, 504, 1116, 759, -23, 744, -793, -1103, -128, 513],
 [762, -224, -73, 265, -127, -581, -1074, -913, -212, 529, -458, 455],
 [-161, 415, -124, 837, -771, 8, -1091, -1709, 752, 345, -425, -620],
 [-323, 370, 678, 1494, -68, 82, -1190, 228, 1386, -537, 781, -224]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[151, 696, 287, 555, -594, -686, -656, 353, 511, -458, -311, 633],
 [-78, 719, -106, -163, -775, -547, -528, 43, 49, -358, 12, 407],
 [81, 401, 492, -517, 111, -219, 101, -794, -239, 361, 811, 272],
 [1153, 1524, 434, -388, -359, -1071, -265, 336, -565, -292, -289, -511],
 [283, 670, 169, 71, -346, -550, -302, 313, -111, -582, -543, 91],
 [-443, -1004, -927, -395, 269, 900, 510, 164, -398, 170, -174, -792],
 [558, 1051, 257, 418, -744, -894, -755, 408, 549, 12, 138, 351],
 [-28, 303, -35, 258, -353, -315, -305, 425, 36, -727, -752, 203],
 [96, 154, 208, 254, 37, -195, -56, 269, -67, -585, -692, 88],
 [-414, -345, 41, -366, 277, 316, 311, -517, -316, -68, 135, 142],
 [332, -526, 5, 577, 453, 339, 171, 343, 476, 672, 178, -390],
 [51, -50, -630, 378, -595, 12, -461, 544, 709, 597, 428, -124]]

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[User]
Find the rank of the matrix:
[[1687, -1316, -470, 911, 1514, -531, -1152, -1351, 1152, 1002, 527, 909],
 [-523, 191, 20, -33, -209, -726, 412, 529, -506, 10, -1666, -400],
 [630, -437, -1183, -28, 443, -320, -308, -597, 94, 871, 168, 77],
 [-502, 205, -19, -149, -1414, -272, 1471, -430, 458, -369, 310, -1399],
 [692, -937, 565, -155, 2173, -11, -588, 365, 551, 1456, 664, 461],
 [-1095, 412, -313, -882, -1439, 881, 1927, -130, -729, -829, 719, -895],
 [-811, 1564, 193, -222, -960, -1189, -554, 670, -759, -374, -1648, -767],
 [189, 638, -912, 274, -728, -97, -463, -276, -560, 921, -400, 7],
 [-1254, 749, 942, -889, -1033, -251, 1284, 457, -360, -641, 176, -1015],
 [40, 592, -241, 210, -349, -16, -512, 296, 236, -802, -164, -537],
 [-336, 112, 499, -4, 81, 820, 686, -206, -815, -671, 11, 241],
 [-1069, -147, 53, -415, -1656, 96, 944, -109, 553, -1199, -621, -479]]

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[User]
Find the rank of the matrix:
[[384, -540, 675, 1623, 659, -382, 651, 546, -413, -539, 367, -629],
 [-1015, -1235, -1445, 1214, 768, -262, -521, -1376, 723, 555, 523, 292],
 [-474, 266, 968, 14, -435, 21, 766, -602, 186, 1600, -372, -620],
 [-210, -643, 557, 288, 971, -775, -738, -17, 138, -1174, 826, -488],
 [-101, 218, -342, 274, -98, 831, -745, -183, -801, -135, -480, 48],
 [377, 385, 1182, 1092, -134, -400, 1329, 312, -534, 678, -239, -383],
 [248, 366, -1162, -614, 266, 693, -683, 282, -803, 215, -667, 166],
 [356, -595, 16, 870, 1165, 98, 49, 1120, -374, -1418, 193, 142],
 [815, -481, -952, 281, -122, 224, -27, 995, 185, -1529, 1069, 436],
 [-435, 995, 66, -53, 741, 734, 148, 973, -841, -545, 11, 2124],
 [297, -196, 404, 774, -247, -1076, 190, -977, 4, 895, -949, -629],
 [526, -565, -651, 551, 232, 439, -676, 421, -378, -901, 341, -199]]

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[User]
Determine the rank of the following matrix:
[[-4, -133, 44, 170, 171, -46, 50, -424, 307, -299, 145, 260],
 [146, -67, 240, -36, 433, -88, -778, -474, -255, -29, 55, -10],
 [-367, -193, -422, -8, -283, -379, -547, -408, -583, 182, 288, 117],
 [89, 230, -264, -177, -629, 284, 665, 727, -195, 75, -34, -98],
 [-441, -343, -258, 290, 35, -421, -135, -722, 223, -140, 278, 359],
 [935, 474, 570, -359, 194, 771, 140, 661, -166, -218, -248, -281],
 [-554, -568, -198, 346, 423, -757, -1097, -1498, -91, -125, 462, 461],
 [-789, -509, -18, 505, 559, -755, -276, -853, 791, 131, -23, 187],
 [209, 352, 106, -258, -248, 349, 497, 1048, -72, 339, -397, -457],
 [-831, -533, -102, 511, 475, -785, -276, -903, 731, 115, 41, 237],
 [-367, -265, -630, 120, -539, -307, -91, -616, -375, -202, 552, 477],
 [-75, -269, 58, 131, 407, -305, -840, -947, -161, -185, 281, 261]]

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[User]
Find the rank of the matrix:
[[156, 677, -400, 20, -442, -121, 761, -319, -916, 357, 524, -563],
 [-1474, 716, 399, -67, -943, 213, 728, 183, -931, -740, 79, -677],
 [666, -659, -226, -1367, -645, -193, -77, 197, 1812, -125, -467, -630],
 [195, -463, 1165, 512, 1725, -1111, -413, 462, -315, 1071, 819, 956],
 [440, -1444, 626, -116, 612, -42, -1176, 418, 1418, -168, -816, 884],
 [194, -654, -55, 955, 1061, 643, -1282, -69, 477, -298, -705, 1349],
 [-200, -505, 419, 515, -683, 382, -69, -42, -881, -409, -571, 204],
 [-382, -127, 430, 422, 727, -30, -435, 209, -5, -53, 15, 594],
 [774, -1061, 623, 333, 1500, -527, -1037, 300, 770, 653, -26, 1171],
 [-912, -376, 1259, -1039, 320, -882, -44, 949, 1178, -134, 228, -246],
 [-907, 1053, -364, -300, -346, 191, 573, -19, -97, -409, 332, -665],
 [546, -1279, 934, -50, 1002, -613, -891, 495, 926, 425, -200, 869]]

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[User]
Determine the rank of the following matrix:
[[409, 413, 777, -684, 406, -929, 142, -46, -5, -241, 506, -828],
 [347, 256, -253, -284, 322, 1186, -373, 421, 173, 976, 131, -150],
 [354, -234, -582, 412, -235, 236, 140, 373, -22, 59, 61, -125],
 [-633, -282, -297, 424, -289, 434, -127, -260, -19, -25, -506, 829],
 [572, 265, -68, -332, 307, 499, -135, 426, 108, 590, 344, -529],
 [-394, 142, 598, -296, 124, -566, -12, -444, -30, -334, -76, 128],
 [698, 349, 282, -508, 369, -225, 51, 330, 54, 212, 540, -871],
 [212, 331, 164, -460, 375, 549, -269, 164, 124, 600, 174, -233],
 [-541, -53, 99, 52, -56, 157, -146, -328, 1, -33, -328, 550],
 [457, 137, -351, -112, 185, 881, -202, 469, 119, 726, 181, -259],
 [763, 14, -301, 36, 22, -32, 185, 523, 5, 126, 413, -694],
 [93, 33, 277, -96, 9, -687, 194, -95, -61, -394, 153, -275]]

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[User]
Compute the rank of the given 12x12 matrix:
[[47, -158, -57, -110, 599, -300, -248, -214, 75, -278, -419, 644],
 [296, 393, 337, -83, -78, -42, -16, 388, 146, -70, 213, -291],
 [519, -16, -4, 51, -131, 96, 207, 443, 414, -508, 327, -183],
 [63, -636, -484, 75, 405, -72, 19, -297, 194, -508, -301, 673],
 [-141, -392, -313, 54, 203, -24, -10, -308, -23, -118, -233, 392],
 [653, -180, -100, 25, 159, -24, 145, 397, 558, -804, 169, 155],
 [-151, -669, -521, 76, 417, -78, -31, -479, 32, -310, -408, 726],
 [-301, 664, 456, -5, -727, 240, 79, 227, -390, 844, 427, -967],
 [63, 206, 279, -270, 823, -516, -484, -154, 7, -150, -551, 692],
 [-85, -491, -379, 52, 323, -66, -25, -337, 44, -258, -300, 546],
 [-280, 829, 576, -8, -892, 294, 115, 353, -411, 952, 565, -1204],
 [451, 212, 183, -10, -149, 48, 122, 472, 309, -310, 323, -296]]

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[User]
Determine the rank of the following matrix:
[[-11, -68, -54, 93, 81, -205, -240, -154, 40, 6, 222, -245],
 [-375, 15, -441, 81, -312, -504, -72, -117, -342, -423, -75, -516],
 [-122, -161, -243, 246, 117, -625, -600, -403, 10, -93, 519, -725],
 [-441, 42, -504, 63, -399, -525, 0, -84, -420, -504, -168, -525],
 [-23, 161, 69, -207, -230, 414, 552, 345, -138, -69, -529, 506],
 [-249, 3, -297, 63, -198, -354, -72, -93, -222, -279, -27, -366],
 [105, 135, 207, -207, -96, 528, 504, 339, -6, 81, -435, 612],
 [-372, 139, -363, -84, -473, -155, 360, 157, -430, -453, -481, -95],
 [-435, 0, -522, 117, -339, -633, -144, -174, -384, -486, -30, -657],
 [-87, 29, -87, -15, -106, -46, 72, 29, -98, -105, -101, -34],
 [390, 25, 483, -138, 271, 637, 216, 211, 326, 429, -55, 673],
 [-526, 202, -510, -126, -676, -204, 528, 234, -612, -642, -698, -116]]

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[User]
What is the rank of the matrix:
[[147, -126, 182, 56, -84, 0, 77, 91, -49, 140, 49, -28],
 [231, -198, 286, 88, -132, 0, 121, 143, -77, 220, 77, -44],
 [-84, 72, -104, -32, 48, 0, -44, -52, 28, -80, -28, 16],
 [420, -360, 520, 160, -240, 0, 220, 260, -140, 400, 140, -80],
 [189, -162, 234, 72, -108, 0, 99, 117, -63, 180, 63, -36],
 [399, -342, 494, 152, -228, 0, 209, 247, -133, 380, 133, -76],
 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
 [273, -234, 338, 104, -156, 0, 143, 169, -91, 260, 91, -52],
 [189, -162, 234, 72, -108, 0, 99, 117, -63, 180, 63, -36],
 [546, -468, 676, 208, -312, 0, 286, 338, -182, 520, 182, -104],
 [-84, 72, -104, -32, 48, 0, -44, -52, 28, -80, -28, 16],
 [147, -126, 182, 56, -84, 0, 77, 91, -49, 140, 49, -28]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[-298, 153, 196, -1258, -122, -417, -798, -218, 600, 744, -37, 589],
 [752, -1240, -941, 1144, 347, -343, 319, -79, -369, -231, -197, -692],
 [1207, 608, 837, -808, 503, -757, -176, -395, -282, 1279, 817, 654],
 [-2057, -578, -859, 132, -200, 980, -563, -815, -32, -1190, -1137, -1219],
 [-870, 205, -242, 349, 452, -217, 122, -783, -639, -493, 20, -71],
 [679, 36, -321, 45, -325, 585, -371, 486, -988, -332, 781, -213],
 [-144, 368, 327, 307, 642, -412, 565, -1970, -125, 1625, 683, 74],
 [583, 728, 506, 557, 500, -296, 755, -619, -517, 773, 930, 341],
 [1063, -331, 73, 776, 885, -1057, 628, -113, 541, 731, -249, 74],
 [-1078, -758, -1499, 1200, 881, -174, -307, -1231, -418, -579, -584, -1039],
 [-913, -74, -126, -296, -137, -74, 17, -1546, -81, 959, 446, 153],
 [-442, 485, -207, 1056, 516, 708, 198, -517, 303, 122, -234, -816]]

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[User]
Calculate the rank of matrix A where A =
[[-252, 822, 466, -627, -162, -684, 1214, -75, -18, 872, 33, -1185],
 [-670, -1057, -63, 836, 621, -849, -543, 516, -586, -132, -174, 891],
 [-570, -582, -911, -227, -651, 1339, -43, 276, -1153, -893, 272, -41],
 [40, -1175, -533, 842, -29, -875, -781, 556, -493, -189, 18, 1148],
 [709, 76, 537, 150, 438, 515, -265, -1031, -44, 360, -258, -861],
 [169, -181, -647, 554, -380, 1455, -280, 556, -169, -881, 478, 1202],
 [-591, 258, -504, -102, -287, 1479, 388, 838, -538, -658, 381, 101],
 [931, -461, -192, 257, 335, 832, -1194, 780, 30, -286, 23, 41],
 [-363, -265, 317, -317, 325, -484, -66, -670, -201, 187, -372, -681],
 [1310, -374, -158, -597, -700, 32, -280, -73, -106, 332, 263, -783],
 [350, 574, 705, 487, 422, -888, 306, -395, 869, 643, -94, 431],
 [-641, 573, -129, -527, -93, 1771, 438, 116, -130, -708, 196, -305]]

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[User]
Determine the rank of the following matrix:
[[-12, 60, 192, 72, -36, 276, -312, 24, 252, 216, 132, 132],
 [22, -110, -352, -132, 66, -506, 572, -44, -462, -396, -242, -242],
 [-16, 80, 256, 96, -48, 368, -416, 32, 336, 288, 176, 176],
 [19, -95, -304, -114, 57, -437, 494, -38, -399, -342, -209, -209],
 [-22, 110, 352, 132, -66, 506, -572, 44, 462, 396, 242, 242],
 [13, -65, -208, -78, 39, -299, 338, -26, -273, -234, -143, -143],
 [-2, 10, 32, 12, -6, 46, -52, 4, 42, 36, 22, 22],
 [-3, 15, 48, 18, -9, 69, -78, 6, 63, 54, 33, 33],
 [-10, 50, 160, 60, -30, 230, -260, 20, 210, 180, 110, 110],
 [23, -115, -368, -138, 69, -529, 598, -46, -483, -414, -253, -253],
 [-8, 40, 128, 48, -24, 184, -208, 16, 168, 144, 88, 88],
 [20, -100, -320, -120, 60, -460, 520, -40, -420, -360, -220, -220]]

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[User]
Calculate the rank of matrix A where A =
[[436, -4, -225, 176, 272, 334, -100, 58, -1073, -114, 343, -462],
 [89, -368, 472, 657, -273, 460, 890, -652, -270, 495, 666, 663],
 [-685, -223, -62, 450, -308, -441, -258, 136, 433, 410, -91, 83],
 [-820, -204, -486, 944, -227, 211, 244, 149, -83, 808, -391, -765],
 [591, 144, 304, -576, 224, -259, -323, -153, 25, -705, 247, 518],
 [194, -197, 173, 705, 7, 503, 710, -654, -440, 159, 296, 170],
 [111, -26, -2, 588, 123, 466, 647, -616, -148, -31, -174, -107],
 [839, 67, 381, -389, 206, 375, 335, -350, -508, -396, 550, 453],
 [-319, -278, 43, 728, -149, -226, -63, -260, -21, 201, 173, 199],
 [26, -181, -407, 860, 248, -122, -557, -33, -1031, -127, 235, -555],
 [-252, 267, -300, 207, 320, -490, -418, -317, 816, -753, -1052, -309],
 [-789, -238, -476, 1259, -209, 534, 684, -152, -180, 907, -448, -827]]

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[User]
Find the rank of the matrix:
[[694, -546, -119, 808, -216, 503, -644, -998, 31, 232, 328, -959],
 [-899, 293, 29, -403, 354, -334, 229, 1175, 68, 246, 161, -134],
 [181, 1189, -71, -435, -448, 468, 1611, 61, -874, -113, -1142, -511],
 [416, -1543, -509, 58, 852, -118, -1121, 422, 314, 558, 880, 24],
 [259, -76, -777, -175, 36, 136, -633, -1002, -284, -162, 194, -617],
 [669, 79, 193, 35, -474, 669, -187, -1089, 206, 489, -273, 548],
 [-1121, 925, 1153, -954, -474, -196, 202, 1126, 763, 784, -319, 1499],
 [-283, -521, 15, 1095, 860, 262, -12, 733, -13, -14, 380, -930],
 [-28, 408, 380, -21, -826, -319, -493, -1150, 317, -607, -41, 662],
 [-626, 3, 323, -144, -62, -539, -667, 10, 658, -84, 469, 877],
 [217, 401, -96, -859, -10, -124, 1342, 731, -330, 226, -629, 838],
 [-49, 212, 156, 822, 424, 653, 793, 368, -257, 78, -310, -620]]

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[User]
Determine the rank of the following matrix:
[[588, -904, -731, 1658, 88, 607, 1066, 90, -15, 633, 362, 1954],
 [278, -787, -167, 168, -1189, 456, -379, 296, 117, 179, 65, 622],
 [150, -852, -1551, -863, -1106, 1428, -45, 765, -449, -465, -375, -163],
 [-127, 548, -728, 127, 88, -641, 720, 11, 20, 844, -1473, 300],
 [-304, 897, 2086, -793, -903, -364, 269, -1322, -264, -208, -866, 157],
 [-999, 752, 916, -941, 305, -20, 132, -196, 3, -395, -1261, -487],
 [327, 567, 1857, 58, 217, -446, -621, -547, -152, -12, 552, -506],
 [-1740, -44, -233, -1809, -627, -1060, -1071, 119, -455, -1445, -898, -862],
 [203, -1146, 571, 87, 892, 451, 39, 1214, 2466, 1412, 845, 235],
 [-1793, -9, -202, -1539, -542, -675, -1107, -38, -694, -1762, -927, -602],
 [-541, 518, -229, 368, 481, -1067, -620, -1056, -752, -576, 740, -229],
 [-704, 356, -74, -252, -37, -548, 380, -231, -180, -220, -486, -58]]

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[User]
Compute the rank of the given 12x12 matrix:
[[598, 276, 674, -1524, 776, -70, -260, -252, 76, -78, 662, -306],
 [-561, 456, 560, -728, 606, 448, 54, -758, 161, -63, -49, -50],
 [64, 566, 107, -462, 894, -221, -268, -60, 1039, 176, 60, -617],
 [-917, -126, -176, 776, -293, 379, 277, -461, -198, 92, -674, 530],
 [-296, 706, 155, -428, 711, -412, 419, 237, 836, 247, 151, -815],
 [-496, 804, 104, -246, 717, -339, 447, 197, 977, 247, 23, -868],
 [-615, -363, -201, 193, 524, -410, 282, -576, 120, 791, -717, 805],
 [-1, 145, -274, 703, -533, 220, -87, 425, 130, -336, -8, -368],
 [-127, -250, 478, -560, -191, 511, 63, -603, -904, -236, 110, 578],
 [1150, -104, 103, -962, 343, -946, 53, 781, 22, 227, 825, -446],
 [-718, 331, 109, 507, -282, 1014, -258, -582, 57, -508, -384, 12],
 [-429, -56, -470, 858, 43, -121, -29, -49, 488, 310, -606, 165]]

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[User]
Determine the rank of the following matrix:
[[222, 51, 420, 95, 458, 168, 25, 921, -545, 1121, -238, 821],
 [-1063, -1171, -556, -145, 834, -128, 521, -1708, 1353, -710, -1099, 177],
 [137, 579, 407, -472, 382, 515, 656, -1010, 335, -497, 60, 625],
 [682, -50, 324, -818, -1260, 1692, -829, 1490, 509, 251, 807, 998],
 [371, -667, 242, -276, -471, -68, 595, 640, 483, 707, -329, -1064],
 [-1200, -126, 380, -20, 959, 156, -618, 1278, -423, 1062, -1373, 1925],
 [1065, -308, -19, 582, -533, -306, 320, 1079, -327, 702, -190, -1061],
 [617, -489, -173, 290, 1006, -733, 608, -907, -204, -830, 105, -1229],
 [646, -913, -563, 50, 1276, 314, 133, -524, -1003, 103, -82, -765],
 [-631, -1430, -1005, -63, 90, -456, -170, -736, 1325, -735, -574, -924],
 [-417, 1156, 268, -359, 611, -746, -19, -137, 320, -174, -81, 564],
 [1693, 933, -663, 490, -1757, 583, -486, 711, -52, 86, 1369, -243]]

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[User]
Find the rank of the matrix:
[[-121, 2199, -805, 561, -390, 977, 920, 325, 255, -490, -128, -94],
 [-317, -607, 655, -848, 113, -245, -128, -303, -718, 81, -183, -445],
 [506, 177, 28, -19, -680, 56, 1014, 62, 461, 223, -401, -722],
 [879, -1829, -346, 693, -939, -1373, -1209, -449, -285, 980, 763, 605],
 [-323, 305, 110, 239, 869, 457, -241, 51, 101, -248, -237, 1365],
 [805, -716, -597, -148, -454, -717, -751, -718, -220, 656, 245, -71],
 [317, -118, -99, -198, 201, 239, -234, -679, 580, -92, 48, -132],
 [190, -701, 967, -182, 199, 372, 185, -1008, 261, 161, -654, 1177],
 [800, -1489, -409, 595, -1031, -1294, -999, -356, -468, 949, 662, 426],
 [251, -830, 142, 365, -322, -391, -419, -279, 4, 300, 261, 493],
 [-150, -808, -46, 200, 465, -454, -940, 214, 11, -13, 553, 293],
 [503, 624, -372, 411, -197, 385, 723, 121, 861, 13, -302, 44]]

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[User]
Determine the rank of the following matrix:
[[-1254, -953, -25, 888, 400, -499, -418, 556, -244, -652, -45, -938],
 [590, 170, -381, -144, 309, 562, -734, -351, 1376, 37, 359, 634],
 [99, -276, -931, -95, 0, -845, -832, 1186, 577, -482, 228, -151],
 [481, 392, -24, -579, -370, 1080, -392, -718, -310, -65, 920, 20],
 [-222, -1189, -929, 487, 603, -1221, 412, 1718, 253, -795, -1064, -279],
 [-617, -378, 849, 1154, 1044, 1015, 176, -1068, 714, -449, -443, -102],
 [1088, 626, -1510, -1773, -718, -724, -1380, 1503, 254, 345, 1446, 44],
 [357, 390, -562, -314, -229, 397, -1195, -2, 441, -993, 1074, -264],
 [955, -635, -752, 214, 682, 433, 738, 920, 506, -597, -1016, 868],
 [-432, 1333, 846, 324, 707, -1034, -175, 327, 934, -518, -203, -637],
 [417, 130, -151, -860, -1523, 109, 552, -726, -1557, 544, 331, 209],
 [-557, -49, 68, -191, 66, 154, -437, 821, -1161, -200, 803, -946]]

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[User]
Determine the rank of the following matrix:
[[-749, 971, -27, 285, -1448, 776, -488, -292, 607, 20, 42, 516],
 [1009, -74, 13, -459, 1748, 721, 744, 1046, -1165, 1055, -1059, -1381],
 [-88, -672, 1731, 637, -2108, -1435, -933, -259, 787, -768, 413, 1656],
 [-659, 1185, 1196, -211, -1218, 464, 359, -386, 656, 153, -70, 517],
 [-1649, 1226, -2007, 909, -1046, 923, -1069, -498, 325, 861, -384, 376],
 [40, -1185, 866, -55, -12, -995, -490, -618, -521, -798, -184, 774],
 [947, -1079, -1458, 240, 1022, -652, 264, 1342, -1054, 407, 156, -1672],
 [253, 848, -707, -57, -642, 1990, -554, -68, -254, 237, -846, -537],
 [-691, 183, 108, 266, -1745, 546, -218, -820, 201, -371, -422, 826],
 [247, -826, 544, -762, 1433, 42, 1137, 618, 347, -516, 810, -49],
 [657, -773, 843, -1818, 723, 358, -789, -760, -286, -1818, 328, 134],
 [-96, 1133, 335, -197, 58, 246, 140, -202, 285, 251, -164, 508]]

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[User]
Determine the rank of the following matrix:
[[152, 286, 974, 166, 300, -132, -214, -272, 408, 248, 112, -296],
 [-359, -163, -279, 365, -721, -92, -170, -270, 319, 71, 743, 40],
 [-305, 782, 381, 551, 257, -881, -551, -411, 25, 545, -460, -467],
 [-146, 1080, 1881, 701, 228, -737, 34, -1121, 1066, 400, 189, -1251],
 [266, 91, -679, -537, 340, -274, -224, 560, -218, 79, -501, 1],
 [-297, 279, 393, 531, -231, -372, -327, -458, 313, 304, 308, -233],
 [-2, -480, -578, -213, -384, 400, 251, 219, -78, -295, 339, 323],
 [458, -31, 1124, 45, 512, -25, -1067, 126, 430, 630, 391, 201],
 [964, -338, 237, -811, 754, -5, -1421, 1017, 332, 655, 264, 486],
 [-613, -368, -587, 352, -853, 589, 1247, -464, -363, -781, 194, 125],
 [-266, 283, -1051, -92, 142, -368, 255, 213, -790, -136, -1016, -24],
 [470, -452, 34, -594, 42, 546, 256, 378, 266, -280, 378, 156]]

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[User]
Find the rank of the matrix:
[[-12, -336, 504, 672, 660, 48, 480, -36, 696, 552, 672, -156],
 [-293, -482, -222, -8, -31, -718, 488, -339, 362, -76, 370, -29],
 [-18, -75, 60, 96, 93, -33, 96, -24, 120, 75, 117, -24],
 [-234, -260, -380, -272, -286, -604, 208, -262, 20, -280, 36, 38],
 [126, -47, 508, 544, 545, 371, 160, 128, 392, 479, 369, -112],
 [-306, -274, -604, -496, -512, -806, 176, -338, -116, -482, -90, 82],
 [295, 395, 370, 200, 220, 745, -360, 335, -170, 235, -185, -15],
 [-198, -539, 196, 448, 425, -433, 640, -244, 704, 323, 693, -124],
 [187, 88, 498, 472, 479, 512, 8, 201, 242, 434, 220, -89],
 [-180, -321, -96, 48, 33, -435, 336, -210, 276, -3, 279, -30],
 [135, 205, 130, 40, 50, 335, -200, 155, -130, 65, -135, 5],
 [-78, -182, 28, 112, 104, -178, 208, -94, 212, 74, 210, -34]]

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[User]
Calculate the rank of matrix A where A =
[[-76, -453, -558, 160, 262, -454, 301, -631, -295, -320, -688, 370],
 [197, 444, 281, -394, -249, 385, -117, 779, 278, 198, 738, -139],
 [-173, -609, 120, 473, 344, -143, -172, -512, -395, 134, -461, -196],
 [-70, 57, -148, 68, -36, -140, 105, -259, 47, -156, -228, 116],
 [-218, 36, 1094, 516, -38, 486, -722, 94, 40, 628, 332, -882],
 [60, 630, 51, -273, -363, 156, 60, 324, 420, -84, 357, 51],
 [-138, -300, -385, 241, 169, -382, 208, -656, -186, -272, -645, 247],
 [-229, -318, 711, 574, 169, 203, -521, -241, -196, 442, -70, -629],
 [55, 1161, -73, -444, -671, 141, 220, 352, 781, -302, 428, 219],
 [-229, -36, 562, 465, 6, 147, -381, -269, -4, 270, -85, -474],
 [224, -192, 45, -287, 123, 188, -54, 570, -154, 204, 427, -35],
 [211, -120, -821, -434, 85, -337, 529, 33, -98, -422, -182, 655]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-127, -1061, 1047, 1357, -1354, 1299, -162, -187, 337, 1251, -312, 562],
 [679, 1649, -171, -1090, 696, 568, -348, 704, 520, 77, 672, 1388],
 [1274, -195, 289, 516, 532, -553, 39, -911, 319, 736, 552, -379],
 [-414, -156, -1689, -1265, 47, -411, 1244, -484, -1448, -196, 1026, -13],
 [789, 710, -1169, -615, 401, -1321, 584, -1086, -630, 478, 1172, -642],
 [460, 204, -270, -570, 1246, 3, 520, -598, 13, -314, 571, -78],
 [-299, -1051, 986, 1262, 365, -631, 12, 728, -1181, -224, -710, -1716],
 [-347, -1502, 1228, 1659, 67, 253, 42, -286, 629, 40, -1343, -1138],
 [109, -506, 80, 262, -1076, -781, -591, -113, -458, 116, 387, 463],
 [-497, 475, -376, -908, -542, 169, -409, 1046, -418, -1014, -12, 797],
 [1318, 1043, 520, 110, -145, 771, -154, 88, 544, 85, 345, 657],
 [190, 2022, -217, -547, -248, 344, 203, 907, -73, 169, 405, 1621]]

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[User]
What is the rank of the matrix:
[[-33, -485, 390, -753, 1088, 258, -79, -1011, -82, 236, -183, -155],
 [588, -94, 290, 420, -494, 222, 154, -846, 112, -128, -90, 68],
 [-445, -343, 104, -519, 355, 731, -496, 197, -64, 499, -564, -820],
 [123, -31, 75, -51, -292, 451, -282, 524, -128, 342, -328, -337],
 [-464, -522, -198, -134, -27, 1017, -434, -220, -40, 363, -752, -1046],
 [-42, 745, 323, 330, 19, -1459, 552, -41, 518, -756, 1060, 1075],
 [-535, -171, -450, -407, 680, -96, -32, 187, -188, 46, 14, -80],
 [368, 49, -685, 64, 73, -369, 303, 469, -528, -78, 257, 638],
 [195, 286, 738, -69, -158, -109, -129, 175, 284, 93, 97, 49],
 [235, -4, -35, -239, 138, 56, -75, 456, -288, 245, -49, 114],
 [519, 253, 212, 587, -960, 98, 29, 187, 122, -62, -23, 75],
 [431, -269, 806, -719, 755, 277, -163, -621, -90, 407, -173, -13]]?

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[User]
What is the rank of the matrix:
[[72, -87, -228, 313, -208, -180, 261, 361, 75, 260, -227, 65],
 [9, -59, 10, -163, 51, 93, -285, -311, -135, -314, 193, -194],
 [-180, 405, 420, 5, 220, 0, 585, 485, 375, 700, -295, 625],
 [18, -93, 0, -221, 62, 126, -405, -437, -195, -448, 271, -283],
 [54, -149, -104, -117, -22, 66, -357, -349, -195, -408, 215, -303],
 [144, -249, -396, 311, -296, -180, 27, 167, -75, -20, -109, -185],
 [-423, 763, 1138, -781, 819, 453, 129, -257, 315, 286, 175, 676],
 [-99, 264, 198, 176, 55, -99, 594, 572, 330, 682, -352, 517],
 [-18, -27, 96, -283, 130, 162, -387, -451, -165, -416, 281, -221],
 [-18, 83, 8, 179, -46, -102, 339, 363, 165, 376, -225, 241],
 [-135, 190, 406, -474, 347, 273, -312, -478, -60, -294, 302, -9],
 [-306, 581, 800, -443, 546, 258, 285, 29, 315, 416, -7, 611]]?

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[User]
What is the rank of the matrix:
[[813, 267, 960, 197, -1154, 442, 109, -730, 147, 51, -178, -142],
 [80, 562, 1063, 249, -408, 539, 802, -1223, 103, -28, 302, -498],
 [546, -478, -95, 269, 106, -866, -224, -187, -69, -166, 134, 373],
 [273, 574, 329, 796, 128, -619, -274, -650, 207, -584, -401, -232],
 [151, -289, 136, -486, -476, 497, 254, 46, -159, 424, 313, 113],
 [-176, -590, -600, -444, 102, 97, -196, 926, -64, 276, 4, 347],
 [299, -257, 213, 449, 244, -672, 166, -529, 64, -262, 217, 129],
 [198, 612, 740, 852, 252, -570, 338, -1354, 144, -558, 96, -386],
 [-352, -222, -1324, -296, 858, -793, -896, 1058, -328, -56, -168, 361],
 [-430, -988, -1345, -1318, 280, 225, -329, 1571, -563, 789, 445, 634],
 [-303, -859, -1152, -187, 880, -791, -483, 1144, -105, -13, 26, 575],
 [1147, -68, 215, 558, -566, -898, -748, -368, 45, -342, -425, 301]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[266, 271, -23, 961, 373, 650, 455, -245, -500, -1436, -160, -416],
 [48, -578, -73, 329, -711, 128, 438, -966, -98, -526, -1150, 431],
 [-175, 796, 440, 626, 287, 45, 798, 39, -650, -433, -1, -271],
 [738, -746, 267, 106, 676, -71, 283, 121, -72, 335, 1074, -308],
 [314, -1040, 101, -755, -892, -1018, -1605, 487, 485, 1332, -2, 694],
 [237, -597, 467, -380, -70, -716, 119, 116, 25, 1236, 497, 235],
 [717, -902, 41, -264, 210, -336, -936, 539, 273, 580, 909, -42],
 [266, -432, 572, 392, -57, -296, 1029, -519, -465, 232, -84, 125],
 [536, -654, 264, 435, -409, -311, -471, -27, -258, -207, -234, 219],
 [-137, -55, -570, -89, -246, 462, -406, -261, 340, -616, -553, 79],
 [-305, -379, -1118, -999, -115, 622, -703, -268, 1119, 36, -231, 132],
 [137, 724, 1190, 1056, 141, -639, 794, 363, -1230, -73, 195, -177]]

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[User]
What is the rank of the matrix:
[[640, 1677, -170, 512, 229, -1581, -76, 1622, 372, -1142, 1555, 1757],
 [24, -520, -427, -343, -492, 316, 303, 133, -249, 872, -218, 295],
 [778, 1307, 278, 252, -1523, 533, -827, -88, -574, -418, -431, 455],
 [-746, -1066, -266, -1172, -702, 466, 428, 1026, 252, 1264, -384, 48],
 [-215, 363, -316, 211, -490, -520, -668, 600, 21, -687, 711, 356],
 [803, 1681, 1057, 438, -199, -402, -76, 14, -411, -138, -506, 135],
 [-538, 20, -21, 592, -176, 515, -1161, -1017, -229, -851, 291, -246],
 [654, 58, -930, -187, -1527, 739, -169, -275, -125, 42, -666, 503],
 [-202, -289, -488, 84, -33, 256, 161, 183, 475, 719, -123, 827],
 [2154, 136, -501, -863, 1002, -611, 1706, 848, 450, -1662, 890, 6],
 [-262, 212, 268, -73, -429, -33, -102, 945, -169, 995, 152, 764],
 [294, 282, 248, 433, -386, 176, -114, -215, -659, 976, -349, 283]]?

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[User]
Find the rank of the matrix:
[[480, -505, 526, 20, 484, 508, -57, -227, -818, 21, 181, 628],
 [1133, 1798, 982, 1056, 1103, -237, 862, 7, 1070, -1352, 1302, -827],
 [1008, 822, 1067, 365, 802, 408, 673, 90, -86, -1153, 641, 31],
 [317, -1039, 909, 254, 80, 292, -1119, -572, -1572, 403, -418, 757],
 [-1065, -1698, -1157, 406, -281, -1063, -448, -1209, 1764, 400, 687, -1221],
 [-432, 157, -294, -63, 656, 314, 143, 88, 352, 382, 208, -289],
 [-258, -129, -919, -969, -1123, 281, -393, -616, 372, -118, 41, 25],
 [838, 227, 829, 13, 372, 525, 1173, 313, -664, 106, 293, 950],
 [-1106, -1052, -1028, -264, -107, -367, -786, 366, -2, 378, -814, -344],
 [14, -197, -665, 126, 656, -76, 161, -205, 662, 151, 774, -221],
 [256, 737, -25, -151, -14, 3, 777, 783, 42, -298, -129, 181],
 [-281, 273, 121, 935, 1111, -249, 527, -909, 1748, 392, 1463, -1210]]

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[User]
Find the rank of the matrix:
[[1353, -320, 346, 788, -1090, -184, -866, 1423, 294, -1094, -904, 965],
 [774, 228, 1066, -960, -280, -641, 166, 268, -1176, -804, 260, -860],
 [453, 126, -756, 95, -1624, -534, -425, 1250, -1311, -2107, -561, 964],
 [-1243, -326, -2049, 47, 873, -48, 811, -984, -218, 240, 42, -206],
 [-247, 1632, -160, -836, -312, 233, -407, 16, -641, 384, 419, 851],
 [786, -1074, 238, 411, -449, -95, 103, 639, -2266, 272, 419, -217],
 [-286, -562, 968, -1305, 1445, -10, 790, -525, 549, 667, 542, -1873],
 [-250, 130, 1174, -398, -106, 266, -111, 737, -497, -810, 899, 168],
 [206, -355, 1187, -207, 1406, 629, 506, -512, 191, 242, -402, -311],
 [572, 104, -679, -618, -897, -53, -1139, -221, 66, -383, -724, -156],
 [535, -157, -347, -392, -1664, -1011, 111, 1130, -1550, 107, 367, -585],
 [-388, 5, -192, 63, -346, 1045, -485, -62, -402, 321, -479, 909]]

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[User]
Calculate the rank of matrix A where A =
[[-43, 109, -57, 97, 18, -293, 67, 232, 512, 412, 398, 465],
 [631, -799, -587, 547, 676, -74, -562, -453, -1017, -660, 567, -1165],
 [1543, 52, 1198, -335, -722, 964, -189, -321, 957, 1194, 124, 1374],
 [923, 269, 249, -3, -93, -740, -459, -470, 888, 1002, 742, -207],
 [-17, -218, -34, -322, 571, -296, -76, 602, -100, 295, 1075, 22],
 [-1260, 593, 260, -435, -592, -769, 1140, 901, 338, 288, 134, 1274],
 [137, -207, 7, -581, 808, -250, -408, 405, -285, 292, 1115, -663],
 [-25, -221, -471, 1078, -310, -1015, 659, 434, 634, 319, 946, 1547],
 [-298, -203, -509, 688, 63, 822, -44, -47, 29, -634, -970, 255],
 [-290, 223, 139, 198, -534, -758, 751, 554, 642, 422, 373, 1313],
 [-242, 415, -92, 615, -779, 98, 378, -367, 832, 308, -606, 1136],
 [304, -702, -561, 210, 760, 152, -606, -552, -1427, -897, 294, -1641]]

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[User]
Calculate the rank of matrix A where A =
[[-174, 197, -1134, 1138, 9, 473, -729, 266, 1336, -302, 384, -86],
 [-9, -757, 731, 1226, 273, 51, 953, -824, -539, 1250, 724, -816],
 [312, 1251, 292, 1016, 1061, -77, 1134, -110, -122, -328, 426, 83],
 [-196, 728, 327, 829, -523, 8, 740, 286, -951, 26, -361, 678],
 [850, 688, 631, 454, 141, -478, 326, 144, -312, 685, 840, -22],
 [-429, -528, 278, -388, -655, -158, -196, -380, -863, 101, -520, -54],
 [-1223, -296, 218, 89, 312, 951, 1165, -319, -797, -1272, -1660, 1192],
 [201, 541, -333, -431, 1776, 939, 112, -7, 1376, -1114, 558, 42],
 [240, 751, -482, -368, -97, -288, 63, 740, 65, -263, 162, 774],
 [-344, -391, -1672, -231, -1722, -1821, -552, 179, -1105, 443, -524, -650],
 [-608, 222, -525, 408, -846, -1648, 1000, 0, -653, 1087, -152, -1447],
 [909, 664, -81, -680, 97, -1349, -551, 291, 604, 376, 505, -920]]

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[User]
Find the rank of the matrix:
[[441, -399, -462, -210, -84, -525, 0, -126, -420, 546, 231, -21],
 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
 [546, -494, -572, -260, -104, -650, 0, -156, -520, 676, 286, -26],
 [252, -228, -264, -120, -48, -300, 0, -72, -240, 312, 132, -12],
 [-84, 76, 88, 40, 16, 100, 0, 24, 80, -104, -44, 4],
 [231, -209, -242, -110, -44, -275, 0, -66, -220, 286, 121, -11],
 [-336, 304, 352, 160, 64, 400, 0, 96, 320, -416, -176, 16],
 [-252, 228, 264, 120, 48, 300, 0, 72, 240, -312, -132, 12],
 [-21, 19, 22, 10, 4, 25, 0, 6, 20, -26, -11, 1],
 [-336, 304, 352, 160, 64, 400, 0, 96, 320, -416, -176, 16],
 [-420, 380, 440, 200, 80, 500, 0, 120, 400, -520, -220, 20],
 [420, -380, -440, -200, -80, -500, 0, -120, -400, 520, 220, -20]]

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[User]
Compute the rank of the given 12x12 matrix:
[[490, -311, -678, 52, 1022, 43, 48, 333, -209, -27, 266, 4],
 [396, -434, -737, -266, 697, 134, -19, 506, -27, -186, -11, 115],
 [-222, -441, -456, 231, 317, -52, 337, -160, -171, -135, -72, -9],
 [186, -158, -338, 235, 609, 13, 69, 43, -210, 54, 244, -59],
 [-409, -134, -27, 675, 149, -89, 306, -533, -317, 121, 188, -173],
 [260, -285, -516, 103, 763, -80, 209, 96, -183, -61, 138, -3],
 [-122, 62, 212, -437, -581, -51, -13, 67, 288, -170, -382, 131],
 [495, 257, 55, -171, 239, 194, -432, 420, 40, 158, 276, -1],
 [169, 386, 384, 132, 137, -354, 194, -300, -52, 137, 163, -79],
 [764, 92, -356, 286, 1298, -118, 18, 182, -332, 220, 624, -118],
 [132, -67, -99, -311, 134, -342, 356, -34, 116, -215, -263, 110],
 [156, 383, 478, -420, -240, -603, 404, -257, 253, -139, -312, 98]]

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[User]
Find the rank of the matrix:
[[-772, 499, 21, -676, -1908, -172, 407, -1042, 611, 923, 1552, 170],
 [-303, 597, -112, 635, -508, 887, 1042, 1096, 195, 767, 242, 484],
 [-1044, 251, -639, 391, 226, 957, -1477, 487, -82, -152, -342, -1251],
 [244, -542, 653, -53, 464, -1275, 1208, 420, 481, 712, 183, 1470],
 [470, -74, -711, -1064, -363, 551, 922, -322, 638, 582, -63, 850],
 [-202, 433, 735, -1483, -1174, -449, 1841, -323, 1292, 1472, 494, 1435],
 [241, 398, 1348, -571, -162, -1188, 1044, -565, -185, -492, 241, 289],
 [-2152, 444, 389, -781, -1217, -1068, 314, -798, 765, 1653, 1503, 381],
 [-1001, 630, -698, 2198, -652, -27, -220, 911, -1118, -329, -7, 272],
 [-134, -849, -247, -1419, 10, -1171, -841, -1163, 976, -118, -26, 757],
 [-2002, -333, -1311, -754, -426, 35, -316, -327, 1206, 1482, 1512, 658],
 [-813, -737, -1270, -1027, 100, -17, 271, 449, 1729, 1199, 349, 1610]]

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[User]
Calculate the rank of matrix A where A =
[[849, -286, 349, -73, -165, -337, 1471, -395, 655, 569, 1025, 955],
 [34, 811, 872, -1324, 798, 123, 745, 443, 515, 2255, 409, -281],
 [575, 432, -791, 950, 28, -319, 616, 479, 652, 522, 369, -501],
 [384, 205, -48, -1014, -1363, -371, 564, -1605, 679, -1007, 536, 994],
 [856, 1106, 74, -469, -968, 654, 439, -849, 84, -587, 605, 347],
 [136, -1237, 172, -426, 414, -265, 940, 950, 520, 1039, 865, 425],
 [-451, -54, 357, -1208, 1284, 7, -195, 507, 56, -27, 73, 256],
 [-717, 545, 435, 763, -488, -657, 48, 48, -1609, -665, -649, -377],
 [-1018, 437, -268, 1094, -490, -214, -1074, 689, -739, 787, -1220, -1363],
 [87, 284, -627, 688, -203, -856, 401, 1110, -152, 1040, 354, -534],
 [-76, -905, 516, -866, -629, 481, 438, -891, 962, 101, 25, 200],
 [1188, 288, 1140, -1154, -56, -12, 744, -693, 530, -785, 809, 743]]

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[User]
Find the rank of the matrix:
[[566, -586, 164, -280, 171, 478, -365, 760, -349, -93, 166, 1512],
 [926, -279, -91, 507, -1079, 566, 520, 51, 814, -136, 348, 0],
 [89, 79, -377, -103, -284, -139, -19, -107, 475, 85, 506, -347],
 [82, -852, 997, -169, -838, -109, -236, -769, 73, -697, 331, 97],
 [2184, 692, -866, 1591, 588, -663, 52, 1634, 784, 871, -134, 581],
 [150, -979, -675, -1265, -285, 686, 1543, -275, 643, 703, -915, 512],
 [235, 714, -854, 787, 724, -139, 169, 965, -244, 380, -510, 53],
 [291, 873, 317, 1347, 352, -1281, -279, 125, 813, -261, 1050, -1100],
 [1281, -708, 236, 1865, -1185, -297, -1146, 1039, -743, -956, 456, 1491],
 [1661, -333, -802, 693, 25, -409, 811, 682, 1444, 285, -50, -28],
 [-769, -43, 146, -400, 87, 337, 1171, -318, 533, -501, 391, -550],
 [-128, 353, 305, -667, -889, -299, 453, -868, -742, 154, -608, 66]]

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[User]
What is the rank of the matrix:
[[114, 478, 155, 322, 4, 0, -110, -115, -800, 337, 655, -764],
 [341, 727, 225, 567, -195, 351, -321, 290, -580, 738, 165, -601],
 [-279, -905, -167, -673, 189, -453, 293, -284, 718, -852, -237, 673],
 [242, 534, 175, 410, -124, 216, -226, 165, -500, 521, 215, -512],
 [-78, -986, 50, -698, 178, -666, 166, -340, 520, -884, 10, 358],
 [-55, -609, -59, -409, 29, -189, 89, 12, 706, -460, -469, 613],
 [97, 289, 230, 169, 105, -303, -62, -360, -1005, 96, 1035, -1002],
 [-770, 604, -641, 236, 218, 432, 503, -292, -411, 140, 314, 87],
 [27, -541, -55, -329, -63, -15, 10, 215, 905, -309, -780, 788],
 [51, -125, -67, -41, -119, 225, -50, 311, 613, 43, -692, 568],
 [-417, -335, -266, -331, 225, -237, 347, -377, 94, -501, 204, 229],
 [-423, 609, -455, 341, 7, 615, 230, 115, -45, 391, -230, 288]]?

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[User]
What is the rank of the matrix:
[[-33, 249, 764, 1017, -157, -904, -1271, -444, -1538, 843, 1280, -960],
 [772, -314, -1189, 26, -1166, 1644, -2046, -929, -1350, 918, 460, 802],
 [-57, 571, 1262, 457, 97, -1007, 109, 709, 280, 476, -361, -1244],
 [-724, -412, -25, 1286, 152, 1135, -760, -1163, -574, 479, -637, 620],
 [724, -390, 224, -267, 414, -399, 932, 336, 675, -515, 568, -65],
 [-84, -102, 541, 336, 901, -193, 678, 165, 369, -774, -83, -21],
 [870, -338, 489, 1003, 240, 589, -1280, -581, -405, 593, -595, -260],
 [-417, -103, 1115, 883, 66, -39, -951, -89, 147, 339, -1091, -1009],
 [366, -469, 708, 874, 1259, 389, -224, -52, 404, -809, -150, 228],
 [658, -537, 140, -20, -114, -352, 740, -140, 289, 217, 662, -208],
 [-933, -46, -388, 62, -694, 23, 191, -491, -879, 220, 1153, 213],
 [1133, 108, 396, 712, 1262, -69, 141, 326, 25, -308, 994, 600]]?

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[User]
Determine the rank of the following matrix:
[[1169, 833, -157, -324, 627, -261, 441, 674, -583, -219, 908, -175],
 [519, 155, -120, 469, -256, -962, 1137, 503, -1298, -42, 598, -168],
 [-866, 277, 454, -460, 278, -1269, 109, 466, 70, -76, -633, 572],
 [278, 709, -518, -231, 218, 440, -141, 218, 128, 268, 506, -591],
 [-313, -526, 523, 86, 31, -192, -222, -326, 253, -241, -491, 535],
 [1241, 550, -540, 859, 92, 293, 496, -101, -854, 164, 1503, -1002],
 [155, 753, -71, -852, 759, 399, -653, 274, 753, -27, 65, -11],
 [970, 57, 250, -265, 798, 1066, -841, -426, 728, -392, 378, 135],
 [-98, 81, -202, 265, -306, -404, 487, 190, -516, 168, 158, -231],
 [198, 453, -26, -110, 208, -611, 399, 450, -428, -30, 286, -36],
 [245, 629, -430, -121, 282, 566, -329, 3, 296, 252, 496, -584],
 [271, 1010, 227, -384, 1017, -610, -204, 354, 163, -131, 460, 11]]

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[User]
What is the rank of the matrix:
[[-965, -343, -1559, 2569, 1661, 931, -351, 148, -152, -834, 1078, 876],
 [808, 321, 594, -565, -536, -993, 1308, 185, -983, 21, -194, -1167],
 [440, 330, -716, 309, 263, -127, -322, -654, 327, 822, 376, 653],
 [639, -450, -1001, 943, -130, 1046, -51, -196, -569, -23, -377, -648],
 [-1478, -459, -1143, 493, 930, -1080, 369, -1453, -1329, -976, 59, 458],
 [601, 676, 293, -1560, -738, -779, 151, -958, -75, 36, -339, -417],
 [-301, -94, -187, -997, -684, -898, -823, 605, 832, 366, 552, 870],
 [-1124, -285, 360, -84, 559, -1316, 1120, -174, -187, 752, -582, 333],
 [314, 1079, 193, 630, 350, 207, 1158, 725, -244, -1525, 835, -617],
 [-83, -265, -152, -163, -259, -429, 370, -529, -1190, -937, -371, -589],
 [1061, 599, 702, -1883, -1126, -1322, -28, -1072, -50, 876, -513, 72],
 [147, 492, 565, 488, 275, 908, 334, 1332, 491, -792, 532, -706]]?

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[User]
What is the rank of the matrix:
[[-2, -6, -1271, -205, -160, 698, -1519, -125, 1216, -927, -671, 290],
 [-1237, 628, 843, -307, -275, 959, 146, -2082, -125, -748, 396, -588],
 [-486, -399, -703, -51, 511, -1075, -1117, -375, 449, 707, 503, -1060],
 [-296, -995, -1198, -1030, 1018, -658, -527, 182, 507, -1361, 914, -208],
 [884, 720, -994, 841, 491, 136, -800, 640, -186, -243, 639, 288],
 [893, 1738, 526, 1087, -194, 848, 94, 258, 299, -566, -472, -664],
 [-1389, 886, 803, 134, -933, 417, -570, -1292, 100, 831, -396, -1466],
 [811, -1347, -1255, -757, 1187, -931, 97, 1845, 291, -894, 1211, -440],
 [-464, -533, 71, -418, -539, 727, 430, -1095, 452, -419, -929, 188],
 [-170, 1184, 208, 478, -676, 719, -464, -132, 743, 67, -1125, 848],
 [-889, 557, 251, 592, -598, -410, -371, -16, -1593, 1867, 545, -763],
 [654, -1202, 380, -873, 414, -120, 1856, 153, -152, -1171, -97, 1304]]?

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[User]
What is the rank of the matrix:
[[-630, 126, -336, -102, 270, 372, 594, -186, -144, -684, 126, 168],
 [340, 84, 213, -11, -67, -170, -345, 142, 170, 380, -106, 55],
 [690, 294, 458, -76, -72, -320, -720, 322, 420, 780, -246, 230],
 [555, -399, 236, 215, -387, -386, -477, 85, -48, 582, -39, -424],
 [485, -777, 117, 374, -560, -424, -348, -43, -302, 478, 73, -781],
 [-40, -672, -163, 289, -335, -114, 147, -198, -422, -92, 178, -641],
 [590, -294, 278, 172, -344, -384, -528, 126, 28, 628, -74, -326],
 [-905, 189, -481, -150, 392, 536, 852, -265, -202, -982, 179, 249],
 [-135, -525, -187, 218, -228, -32, 216, -191, -366, -186, 165, -493],
 [-265, 189, -113, -102, 184, 184, 228, -41, 22, -278, 19, 201],
 [440, -672, 113, 325, -491, -378, -321, -30, -254, 436, 58, -677],
 [-630, 294, -301, -175, 357, 406, 567, -140, -42, -672, 84, 329]]?

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[User]
What is the rank of the matrix:
[[206, 306, 542, 405, -809, -352, 707, 1005, -424, 1351, -852, -340],
 [428, 216, -352, -93, 1222, -426, 497, -1090, -260, 153, 929, -18],
 [-23, 499, -730, 115, -858, 533, 203, -348, 801, 73, 271, -293],
 [13, 29, -339, 17, -1175, -26, 957, 215, 286, -568, -266, -343],
 [332, 592, -223, -320, 1075, -377, 1310, -933, -387, 43, 863, -54],
 [-267, -76, 644, 71, -406, 71, 666, 490, -324, 457, -180, -87],
 [-744, -482, 868, -639, 422, 236, 1019, 6, -549, -1197, 419, 339],
 [733, 1057, -1123, 344, -652, -94, -578, 104, 724, 803, -604, -343],
 [115, 362, 638, -307, 942, -541, 1808, -226, -984, 393, 446, -21],
 [-310, 1326, -90, -540, 113, 808, -410, 403, 389, 60, -381, 331],
 [120, -423, 723, -32, 425, -681, 223, 595, -841, 31, -528, 127],
 [500, 53, -147, -64, 764, -765, 1047, -604, -521, -13, 455, -143]]?

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[User]
Calculate the rank of matrix A where A =
[[362, 641, 484, 197, 310, 448, 882, -575, 537, -583, 209, 824],
 [-783, -1241, -245, -343, 117, 55, -868, -292, 253, -307, -651, -213],
 [688, 75, -554, -315, -394, 84, -109, 225, -214, -92, 138, -186],
 [-794, -1400, -531, 73, 333, 109, -750, -137, 397, -134, -436, -267],
 [-573, -220, -67, -425, 87, 557, 161, 448, 327, -756, -58, 618],
 [526, 119, 28, 112, -651, -464, -392, -324, -681, 502, 93, -751],
 [-472, -365, 1060, 896, -323, -322, -255, -1588, -236, 167, -66, -455],
 [1255, 1439, 46, -434, -859, 18, 613, 517, -719, -28, 611, 94],
 [-351, 328, -82, -527, -414, 570, 394, 1058, -165, -686, 352, 578],
 [-500, 29, 344, 624, -270, -690, -314, 270, -735, 1028, 204, -791],
 [-200, -641, -536, 659, -125, 218, -84, 153, -5, 37, 414, -290],
 [-158, 534, 775, 517, -634, 749, 940, -429, -69, -952, 769, 707]]

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[User]
Find the rank of the matrix:
[[-1134, -819, -636, -1322, 1462, 551, 868, -628, 324, -539, 347, -985],
 [-949, -863, -952, -363, -720, -648, 395, -740, 60, 575, -924, -68],
 [-262, -402, -869, 74, -1234, 237, -661, -565, 3, 364, -259, -1272],
 [271, -551, 12, -727, 207, -1492, -12, 255, 47, -447, 622, -45],
 [-126, 446, -479, -942, -1067, 269, -550, -899, -745, -740, 747, -740],
 [782, 917, 1069, 354, 327, -222, -37, 755, -213, -202, 657, 1228],
 [14, -661, -323, -1117, 511, 200, 1199, -401, 308, -278, -724, -573],
 [510, 424, 641, -1516, -285, 202, 543, -630, 278, 49, -799, 122],
 [512, -753, 0, 1064, 1010, 1060, -629, 1905, 181, -508, 611, 257],
 [-1, -317, 131, 392, 2185, -483, 745, -76, 984, -74, 101, -113],
 [-508, -34, -929, 115, 650, -546, -1163, -719, -530, -1341, 1556, -866],
 [-230, -820, -287, 1289, -92, -1390, -41, 1150, -506, -258, 260, 853]]

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[User]
Calculate the rank of matrix A where A =
[[-154, -284, -414, -78, -67, 100, 380, 52, 276, 266, -268, -149],
 [68, 202, 69, 483, 434, 43, -94, -500, -495, -244, -169, 607],
 [142, 260, 253, -161, 133, 111, -452, 24, -65, -316, 421, -208],
 [-88, -199, -299, -457, -160, 198, 93, 312, 497, 147, 133, -640],
 [80, 98, 414, -38, -304, -304, -150, 224, -74, 14, 166, 44],
 [-56, -84, -138, 154, 52, -6, 188, -120, -50, 88, -222, 186],
 [80, 184, 322, 526, 128, -262, -40, -328, -542, -108, -202, 742],
 [240, 460, 529, 71, 252, 5, -644, -148, -391, -494, 467, 127],
 [74, 141, 460, 516, -109, -461, 25, -176, -522, 15, -228, 780],
 [334, 693, 529, 191, 709, 268, -943, -476, -625, -847, 615, 225],
 [-72, -92, -598, -378, 396, 630, -44, -72, 402, -136, 158, -650],
 [-132, -251, -414, -230, -54, 187, 265, 124, 370, 201, -112, -359]]

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[User]
What is the rank of the matrix:
[[191, 1440, 237, -286, 1795, -1351, -383, 1329, 362, 1101, -608, -862],
 [-289, -814, -52, 164, -839, 350, -483, -559, -268, -577, -138, 318],
 [248, 401, 273, -269, 224, 330, 272, -349, -273, 393, 283, -460],
 [-219, 929, -872, 1010, -447, -330, 600, -350, 160, 97, -241, -213],
 [289, 99, 801, -1288, 1057, -598, -695, 1600, 924, -488, 68, -392],
 [628, 583, 826, -1377, 817, 21, 204, 1062, 923, -450, 675, -777],
 [323, -107, 469, -275, 371, 443, -58, -416, -649, 731, -58, -265],
 [-858, -875, 76, -552, 293, -267, -1330, 378, -468, -346, 258, 919],
 [517, -1738, 643, 81, -372, -224, -164, 551, 677, -459, -703, 602],
 [-90, 883, 703, 229, 502, -1213, -117, -575, -173, 1032, -58, -1085],
 [-512, 497, -586, 10, 122, -306, -211, 454, 182, -366, 202, 241],
 [-426, -635, -307, 1119, -1172, 24, 84, -1411, -613, 111, -233, 352]]?

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[User]
What is the rank of the matrix:
[[-959, -71, -955, -699, 269, 867, -692, 513, -1123, 426, -65, -270],
 [-253, 277, 167, -713, -191, 379, -988, 1421, -1061, -870, 361, -978],
 [-289, 357, -318, -240, -155, 446, -205, 109, -350, 62, -308, -303],
 [596, 275, 94, 583, -309, -274, 667, -836, 803, 51, -519, 359],
 [108, 698, -1092, 30, -522, 1250, -432, -450, -500, -320, -958, 222],
 [732, 961, 112, -20, -885, 1002, -987, 428, -521, -1751, -290, -306],
 [-187, 1207, 325, -303, -677, 665, -316, 195, -187, -446, -497, -918],
 [700, 115, 512, 453, -265, -654, 535, -246, 695, -279, -125, 45],
 [-879, 509, -816, -865, -139, 1207, -1012, 838, -1369, -105, -269, -766],
 [539, 182, 1025, 108, -254, -259, -259, 389, 240, -993, 508, -225],
 [78, -347, -1696, 414, 149, 601, 308, -1141, -68, 756, -892, 1184],
 [-1131, -352, -533, -760, 528, 451, -555, 659, -954, 647, 348, -351]]?

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[User]
Find the rank of the matrix:
[[482, -9, 1331, -242, -9, -576, -1263, -742, 107, -104, 315, 154],
 [357, -615, 850, 948, -1287, -362, -409, 1649, 473, 620, 161, 111],
 [-85, 673, 23, -80, 912, 114, 208, 82, -53, 1353, -487, 11],
 [-146, 86, 824, 743, 959, -697, 42, -524, 538, 38, 1088, -623],
 [134, -589, -506, -391, -655, 85, -525, 140, -726, -538, -414, 1026],
 [-588, 65, -238, -243, 966, -920, 524, 138, -735, 493, 389, -163],
 [-215, 537, 1098, 3, 1772, -623, -982, -1515, -350, -6, 595, 368],
 [28, -447, -13, -453, 490, -1499, 627, -143, -284, -7, 1098, -1055],
 [-1425, 134, -968, -203, 948, 371, 1034, -968, -753, -527, 120, 400],
 [549, -854, -606, -1138, -1137, -588, 925, -87, 42, -316, 377, -1160],
 [184, 276, 827, 134, 568, -249, -814, -180, -72, 724, -93, 466],
 [355, 1005, 889, 95, 792, 188, -1211, -247, 149, 314, -448, 276]]

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[User]
Find the rank of the matrix:
[[447, -248, -802, -990, -650, -902, 1365, 1218, -791, 1414, 226, 1],
 [288, 90, -1096, -258, -331, -498, 1139, 1500, -594, 711, 111, 725],
 [306, -965, 186, -454, 205, -354, 448, 24, 51, 507, 77, -625],
 [-193, 405, 820, 781, 617, -606, 198, 863, -355, 633, -129, -1037],
 [610, -151, -897, -1151, -676, -190, 1092, 427, -200, 919, 90, 448],
 [936, -696, 417, 39, -91, -854, 165, -659, -137, 499, -145, -493],
 [267, -484, 73, 1044, 23, -1043, -637, 98, -930, -779, -123, 342],
 [-275, -305, -1143, -225, -405, 67, 335, 625, -68, -119, 429, 943],
 [-476, -350, -449, -470, -212, -136, 611, 359, 312, 527, 340, -27],
 [440, -757, -174, -473, -458, -1263, 866, -372, 39, 487, -386, 154],
 [125, 892, 288, -816, -421, -57, 679, -369, 308, 901, -431, -329],
 [242, 1266, 714, -310, -85, -105, -278, -207, -745, -531, -1127, 90]]

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[User]
Calculate the rank of matrix A where A =
[[-1076, -765, -1012, 494, -477, 1162, -892, -171, 470, -123, -421, -443],
 [-517, 52, -714, -538, 166, 80, -412, 869, 374, 345, -170, -412],
 [-312, 51, -195, -155, 168, 74, -161, 1161, 30, 66, 323, -449],
 [-721, -641, -196, 1196, -1131, 1189, -535, -738, -83, 421, -464, -300],
 [1066, 321, 947, -123, 102, -693, 858, -38, -523, -265, 273, 651],
 [-285, -675, -380, 112, -149, 431, -323, -402, -203, -179, -454, 360],
 [1171, -570, 348, -556, -50, -403, 728, -341, -756, -708, -627, 1646],
 [-274, -1145, -565, 319, -942, 1021, -323, 48, -362, -113, -927, 598],
 [-253, -294, 4, 390, 300, 80, -285, -1497, -59, -291, -36, 165],
 [446, 231, 101, -195, -236, -76, 381, 622, 224, -198, 62, 60],
 [-346, -249, -9, 531, 446, 120, -351, -1745, 138, -536, 169, 3],
 [107, 235, 210, 100, 37, -118, 124, -54, 80, -10, 221, -143]]

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[User]
Find the rank of the matrix:
[[-123, -410, -960, -907, -339, 571, -284, 526, -116, 486, 367, 128],
 [851, 905, 302, -793, -49, 648, 96, 532, 410, 237, -436, -992],
 [-37, -132, 125, 1918, 82, 490, 47, 460, 16, -1117, 99, -374],
 [145, 320, -180, -509, -219, 276, -393, 1056, -95, -983, -608, -1101],
 [-753, -519, -61, -729, -726, -57, -661, -444, -470, -548, -147, 671],
 [-1017, -1166, -1608, -1063, 317, -562, -1398, 342, -579, -39, 146, 34],
 [542, 566, 331, 141, -15, 479, 204, 396, 272, -159, -236, -653],
 [1002, 990, 237, -1055, -9, 1015, -170, 484, 542, 513, -428, -1151],
 [-663, -396, 265, 118, -316, -466, -335, -576, -378, -691, -163, 586],
 [-351, -428, -891, 284, -124, -342, 211, 1416, -422, -1007, 15, -430],
 [-198, -96, -92, -1261, -358, -452, 162, -326, -186, 558, 13, 627],
 [-459, -153, 787, -285, 148, -1165, 59, -1736, -126, 602, -25, 1229]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-533, 1343, 320, 34, 347, -845, -1166, 992, -1152, 86, 1277, -323],
 [-56, -387, 634, -199, 424, 300, -273, 486, -448, 798, -724, 119],
 [60, 795, 875, 1348, -428, -1501, -1822, 640, -897, -77, 416, 0],
 [-20, -481, 150, 750, -343, 340, -321, 16, 388, 191, -211, -30],
 [-404, 1000, -280, 53, 722, 177, 63, 259, -956, -348, 322, -143],
 [209, 716, 109, -1030, 1019, 766, 18, -461, 109, 214, 264, -687],
 [121, 187, 695, 570, -467, 634, 675, -386, 96, 295, -1536, 1177],
 [-361, 429, -676, 146, 718, -435, -824, 523, -729, -528, 1396, -1091],
 [-222, 839, 411, -179, 661, -294, -815, 596, -926, 263, 473, -337],
 [-207, -862, -366, -201, 140, -1202, -838, 988, -600, -4, 883, -634],
 [193, 152, 13, 335, -1528, -1032, 6, -327, 937, -391, 627, 560],
 [-436, 1047, 319, -816, 222, 542, 279, 261, -120, 517, 421, 252]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-64, 128, -208, 184, -200, -48, 168, -8, 136, -72, -176, 8],
 [-64, 128, -208, 184, -200, -48, 168, -8, 136, -72, -176, 8],
 [-120, 240, -390, 345, -375, -90, 315, -15, 255, -135, -330, 15],
 [-144, 288, -468, 414, -450, -108, 378, -18, 306, -162, -396, 18],
 [112, -224, 364, -322, 350, 84, -294, 14, -238, 126, 308, -14],
 [16, -32, 52, -46, 50, 12, -42, 2, -34, 18, 44, -2],
 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
 [-176, 352, -572, 506, -550, -132, 462, -22, 374, -198, -484, 22],
 [-8, 16, -26, 23, -25, -6, 21, -1, 17, -9, -22, 1],
 [24, -48, 78, -69, 75, 18, -63, 3, -51, 27, 66, -3],
 [-104, 208, -338, 299, -325, -78, 273, -13, 221, -117, -286, 13],
 [48, -96, 156, -138, 150, 36, -126, 6, -102, 54, 132, -6]]

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[User]
What is the rank of the matrix:
[[1032, -451, -1313, -468, -386, 548, -401, 472, -686, 212, -152, -525],
 [354, 643, -422, -330, 364, 1008, -945, 1329, 352, 241, -113, -628],
 [412, 6, 19, -80, 187, 278, -63, 110, -502, 322, 4, -125],
 [2, 102, -106, -185, -93, 676, -288, 343, -387, -563, 403, -338],
 [323, 151, -550, -174, -123, 899, 166, 578, -894, 521, 164, -443],
 [-8, -375, 337, 631, -652, 550, 377, -218, -968, -114, 670, -416],
 [545, -530, -468, -34, -378, -733, 11, -381, 582, 446, -121, -49],
 [-162, 299, -481, 256, 334, -796, -277, -282, 310, 164, -946, 209],
 [143, 459, -981, 926, -311, -977, -1702, -59, 1734, -214, -527, -1118],
 [1075, -917, -431, -901, -713, 1357, -135, 573, -983, -564, 1121, -560],
 [82, -503, -213, 1427, -1275, -344, 162, -666, -81, 378, 486, -939],
 [950, -244, -533, -365, -451, 1190, -662, 739, -532, -153, 805, -1014]]?

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[User]
Determine the rank of the following matrix:
[[-66, -114, -66, -96, -156, -30, -54, 54, -96, -42, -102, 126],
 [-253, -437, -253, -368, -598, -115, -207, 207, -368, -161, -391, 483],
 [88, 152, 88, 128, 208, 40, 72, -72, 128, 56, 136, -168],
 [-286, -494, -286, -416, -676, -130, -234, 234, -416, -182, -442, 546],
 [187, 323, 187, 272, 442, 85, 153, -153, 272, 119, 289, -357],
 [22, 38, 22, 32, 52, 10, 18, -18, 32, 14, 34, -42],
 [-110, -190, -110, -160, -260, -50, -90, 90, -160, -70, -170, 210],
 [154, 266, 154, 224, 364, 70, 126, -126, 224, 98, 238, -294],
 [231, 399, 231, 336, 546, 105, 189, -189, 336, 147, 357, -441],
 [-33, -57, -33, -48, -78, -15, -27, 27, -48, -21, -51, 63],
 [44, 76, 44, 64, 104, 20, 36, -36, 64, 28, 68, -84],
 [-99, -171, -99, -144, -234, -45, -81, 81, -144, -63, -153, 189]]

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[User]
Calculate the rank of matrix A where A =
[[621, 662, -866, -299, 1376, -21, 172, -434, 1014, 1663, -1192, 554],
 [-47, 424, -477, -61, -218, 936, -514, -75, -13, 225, -90, -298],
 [-593, -892, -429, 438, 1204, -329, -630, -239, -131, -852, 462, 1235],
 [-744, 1022, -455, -197, -859, 122, 506, -105, -605, 1297, 255, -7],
 [447, -464, 773, -323, -714, -893, 21, 294, -45, -1533, 201, -628],
 [-122, 79, 102, -401, -906, 96, 32, 167, 108, 51, 285, 554],
 [-1164, -1172, 116, 717, -936, 89, -510, 352, -182, -1141, 599, -9],
 [630, 349, 598, -289, -588, 334, 612, 609, 452, 491, -441, -344],
 [-959, 1466, -603, -496, 881, -1295, 846, 220, 944, 274, -606, -469],
 [-908, 1319, -1335, -606, 316, -101, 24, -440, 1429, 1412, -737, 400],
 [1054, -742, 188, 124, 260, -302, -111, -192, -127, 20, -422, 13],
 [386, -864, -337, 787, 937, 669, 5, 217, 820, 1307, -1095, 669]]

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[User]
What is the rank of the matrix:
[[-357, -348, -121, 462, -635, -226, 813, -156, -461, 834, -184, -1012],
 [-1196, -597, 55, 663, 54, -53, 781, -890, -714, -925, -414, -622],
 [-1707, -1250, 134, -785, -954, -473, -92, -461, 1045, -660, -635, -1237],
 [-90, 10, 642, -314, -732, -571, 680, -323, -148, 177, 191, -290],
 [-1316, -904, 791, -307, -161, -74, 59, -494, -5, 69, 237, -1272],
 [323, -299, 151, -122, -134, -338, -898, 753, 388, 156, 890, -39],
 [336, 22, 715, 526, 1426, 1324, -314, 30, -540, -1311, 28, 906],
 [593, 155, 797, -208, 653, 675, -717, 918, 155, -308, 465, 615],
 [58, -830, -1051, 1259, -683, 1420, -573, 642, 159, 363, 966, 749],
 [-223, -383, -579, 1276, 381, 666, -219, -219, -688, -609, 770, 607],
 [-571, -1083, 213, 531, -57, 14, -272, -629, -213, -305, 530, -131],
 [186, 574, -319, -374, 234, 971, -268, 330, 338, 935, 41, 354]]?

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[User]
What is the rank of the matrix:
[[-1247, -1391, 507, 951, -247, 362, -374, 1068, 27, -885, 1369, -291],
 [-132, 24, 333, -170, -2015, 841, -265, 163, -1323, -1607, 893, -618],
 [567, -287, 531, -607, 222, -309, 1557, 801, -652, 260, -1777, 502],
 [-638, 1324, 177, 144, -1222, 935, -313, -159, -1009, -346, 740, 670],
 [-172, -336, 967, 1396, 709, -321, -997, -115, 234, -1039, 359, -114],
 [-669, 624, -322, -414, -664, 449, 649, 171, 10, 526, -695, 1040],
 [488, 836, 1402, -9, 613, -724, -243, -1627, 120, -186, -1210, 26],
 [1210, 1037, -230, -843, -935, 299, -761, -465, -325, 777, -698, 173],
 [-1117, 707, -168, 786, 198, 493, -389, -306, 64, -71, 937, 1321],
 [-478, -27, 791, -443, -700, -632, 285, -746, 117, 432, -243, -339],
 [726, 956, 727, 319, 117, -475, -187, -645, -427, 191, -618, 1042],
 [-329, -341, -121, -551, -1630, 220, 1597, 54, -1307, -1762, 421, -68]]?

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[User]
Determine the rank of the following matrix:
[[8, -18, -12, -24, 8, -34, -42, -6, 12, 2, 2, -34],
 [-72, 162, 108, 216, -72, 306, 378, 54, -108, -18, -18, 306],
 [-28, 63, 42, 84, -28, 119, 147, 21, -42, -7, -7, 119],
 [92, -207, -138, -276, 92, -391, -483, -69, 138, 23, 23, -391],
 [-64, 144, 96, 192, -64, 272, 336, 48, -96, -16, -16, 272],
 [-32, 72, 48, 96, -32, 136, 168, 24, -48, -8, -8, 136],
 [48, -108, -72, -144, 48, -204, -252, -36, 72, 12, 12, -204],
 [-68, 153, 102, 204, -68, 289, 357, 51, -102, -17, -17, 289],
 [-88, 198, 132, 264, -88, 374, 462, 66, -132, -22, -22, 374],
 [48, -108, -72, -144, 48, -204, -252, -36, 72, 12, 12, -204],
 [-16, 36, 24, 48, -16, 68, 84, 12, -24, -4, -4, 68],
 [-84, 189, 126, 252, -84, 357, 441, 63, -126, -21, -21, 357]]

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[User]
Compute the rank of the given 12x12 matrix:
[[406, -915, 709, -284, 557, -489, 303, 243, 66, -194, 966, 214],
 [-193, 1403, -857, 401, -297, 423, -99, -744, 498, -575, -455, -818],
 [527, 83, 252, -859, 1099, -186, 1395, -63, -738, 202, 445, 159],
 [880, 635, 463, -164, 251, 249, 587, 321, -432, 414, 196, -150],
 [48, 503, -169, -198, 334, -177, 659, -339, -276, -163, -107, -341],
 [-723, -866, -112, 601, -561, -476, -1076, -211, 930, -784, 178, -143],
 [465, -831, 918, 124, -350, 22, -508, 986, -243, 742, 218, 564],
 [706, 1001, 302, -49, -216, 508, 422, 551, -921, 1033, -645, -34],
 [-1010, 560, -1235, 186, -482, 551, -558, -593, 288, -103, -988, 39],
 [871, -103, 938, -264, -87, 332, 264, 1156, -1095, 1439, -211, 637],
 [-591, 678, -764, 267, -680, 570, -508, -123, -126, 393, -1131, 48],
 [-739, -810, -481, -445, 515, -279, 148, -462, 180, -403, 198, 432]]

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[User]
Calculate the rank of matrix A where A =
[[34, 1, 291, 188, -307, 287, -272, -272, 239, 329, -277, 183],
 [161, 69, 469, -74, 541, -217, -168, -720, 399, -251, -700, -445],
 [233, -418, -484, 18, 186, -392, 124, -174, 54, -312, -419, -154],
 [-200, 355, 221, -182, 175, 56, 102, 275, -191, -50, 485, -85],
 [47, 188, 474, -98, 424, -98, -124, -466, 256, -158, -371, -336],
 [-51, -204, -306, 294, -840, 420, -96, 372, -120, 528, 267, 612],
 [-454, 779, 713, -162, -129, 532, -50, 495, -255, 354, 955, 155],
 [-218, 298, -302, -486, 714, -469, 554, 669, -558, -633, 854, -416],
 [97, -22, -32, -184, 566, -399, 134, -217, 46, -439, -237, -412],
 [311, -411, -239, 58, 277, -385, -24, -528, 279, -299, -778, -253],
 [-526, 786, 162, -522, 450, -7, 470, 1027, -718, -267, 1502, -188],
 [-45, 35, -213, -176, 283, -238, 234, 241, -211, -284, 266, -169]]

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[User]
What is the rank of the matrix:
[[1244, 535, 54, 781, -461, 44, 983, 864, 572, 243, -749, -75],
 [-232, 458, -978, 801, 209, 93, -524, 750, 64, 1863, -202, -109],
 [829, 708, -645, 481, 252, 499, 222, 387, 178, 584, -180, -450],
 [221, -145, -613, 553, 906, 255, -101, 989, 324, 560, -170, -329],
 [508, -742, 807, -526, -154, -190, 690, -307, -411, -1879, 746, 377],
 [205, 55, -389, 741, -944, -695, 983, -603, -464, -719, 1095, -183],
 [-362, 315, 423, -965, 405, 821, -69, -153, -657, -321, -1065, 473],
 [413, 438, 487, -636, -631, 442, 1242, -1373, -1612, -1464, 337, 637],
 [668, -110, 435, -342, -981, -325, 818, -282, -663, -1772, 936, 361],
 [77, -592, 221, 425, 944, 137, 1014, 135, 192, -685, -651, -208],
 [1180, 465, 1230, -1012, -646, 577, 243, -80, -192, -460, -571, 840],
 [-225, -143, -52, -841, 447, 197, -1711, 199, 499, 513, 490, -177]]?

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[User]
Find the rank of the matrix:
[[100, 69, 26, 35, 19, -208, 90, -7, -21, 2, 82, 215],
 [-520, -159, 109, -293, -454, 571, -357, 325, 420, -77, -271, -563],
 [240, 162, 58, 86, 52, -490, 214, -22, -56, 6, 194, 506],
 [480, 261, 39, 207, 216, -819, 393, -135, -210, 33, 339, 837],
 [80, 192, 188, -48, -228, -516, 148, 192, 196, -44, 172, 552],
 [500, 210, -35, 250, 335, -695, 375, -230, -315, 55, 305, 700],
 [460, 60, -195, 304, 545, -299, 271, -404, -497, 95, 177, 274],
 [160, 222, 178, -6, -168, -618, 206, 150, 140, -34, 218, 654],
 [340, 6, -191, 246, 471, -123, 179, -354, -427, 83, 101, 96],
 [-520, -267, -23, -233, -262, 847, -417, 169, 252, -41, -355, -863],
 [520, 222, -32, 258, 342, -732, 392, -234, -322, 56, 320, 738],
 [220, 258, 187, 18, -147, -729, 257, 138, 119, -31, 263, 768]]

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[User]
Compute the rank of the given 12x12 matrix:
[[284, 193, 797, -23, 526, -388, 452, -109, 745, 271, 335, 982],
 [52, -616, 427, 552, -222, 267, -580, -526, 796, -495, 870, -349],
 [-666, -278, 1282, -1240, 1398, -432, 304, 647, -660, 680, -1077, 889],
 [626, 1078, -718, -45, -131, 158, 83, -507, -563, -441, 117, -613],
 [-172, -769, 1204, -877, 98, -887, 589, -398, -93, 422, -569, 625],
 [-131, 737, -411, 567, 891, 148, 578, 1363, -450, -256, -402, -313],
 [167, 385, -275, 452, 393, 371, -582, -234, -1097, -728, 176, -1195],
 [-63, -552, -646, -423, -129, 428, -625, 325, -1227, 753, -305, -1047],
 [518, 967, -952, 77, 200, 100, 1332, 719, 712, -457, -766, 603],
 [177, 2205, -1602, 15, -232, 479, 625, 758, -111, 530, -63, 153],
 [-172, 403, 443, 749, 711, 515, -948, 594, 123, 249, 1301, -723],
 [959, -512, 1047, 630, -293, -1200, -161, -1315, 451, -1055, -261, 340]]

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[User]
Determine the rank of the following matrix:
[[-392, -211, -352, -863, -507, 44, -814, 564, -108, -31, 565, 630],
 [-579, -662, 167, -933, -1231, -345, -346, 182, -68, 611, 435, 668],
 [216, 131, -88, 545, 313, 241, 362, -167, 102, -15, -174, -324],
 [184, 238, 282, -29, 166, -700, 585, -284, 155, -51, -233, -35],
 [-113, -97, 589, -354, -136, -461, -200, -152, -216, -2, -196, 58],
 [333, 672, -1305, -39, 423, -201, 738, 438, 708, -351, 561, 384],
 [-167, 53, -737, -624, -316, -107, -158, 520, 246, -44, 626, 616],
 [-519, -945, 893, -103, -1006, 335, -559, -278, -489, 755, -179, -89],
 [-2, 116, 484, -563, -176, -1127, 421, -229, 97, 23, -132, 271],
 [389, 386, 433, 642, 867, 14, 187, -371, -143, -404, -599, -617],
 [444, 311, 150, 1228, 1087, 914, -57, -290, -233, -418, -606, -949],
 [524, 796, -484, 246, 826, -565, 908, -49, 486, -490, -59, -58]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-315, -332, -165, -137, -187, -222, -788, 463, 280, 320, -232, 580],
 [-207, 180, 463, -527, 603, -140, 462, -417, -376, -478, -82, 398],
 [216, 436, 371, -440, -83, 414, -107, 699, -81, -88, -325, -617],
 [-30, 88, 121, -203, 46, 6, -50, 89, -5, -16, -161, 31],
 [-144, -552, -422, 227, -125, -451, -501, -136, 322, 277, 137, 691],
 [-262, 802, 308, 339, -5, 676, 1076, -400, -436, -34, -238, -932],
 [680, -420, 176, -643, 373, -284, -473, 544, -76, -648, 556, 264],
 [9, 140, 450, -333, 362, 352, 203, 502, -557, -636, 331, -233],
 [239, -10, -207, -153, -319, -291, -459, -37, 582, 509, -511, 93],
 [52, 1114, 655, -420, -95, 795, 582, 353, -247, 7, -802, -1206],
 [53, -206, -533, 296, -546, -351, -550, -187, 730, 801, -431, 209],
 [624, 24, -403, 251, -538, -106, -264, -75, 629, 544, -223, -479]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-16, -34, -36, -28, 36, -2, -42, 26, 34, -50, 4, 42],
 [176, 374, 396, 308, -396, 22, 462, -286, -374, 550, -44, -462],
 [-152, -323, -342, -266, 342, -19, -399, 247, 323, -475, 38, 399],
 [-96, -204, -216, -168, 216, -12, -252, 156, 204, -300, 24, 252],
 [80, 170, 180, 140, -180, 10, 210, -130, -170, 250, -20, -210],
 [-16, -34, -36, -28, 36, -2, -42, 26, 34, -50, 4, 42],
 [128, 272, 288, 224, -288, 16, 336, -208, -272, 400, -32, -336],
 [40, 85, 90, 70, -90, 5, 105, -65, -85, 125, -10, -105],
 [-32, -68, -72, -56, 72, -4, -84, 52, 68, -100, 8, 84],
 [-96, -204, -216, -168, 216, -12, -252, 156, 204, -300, 24, 252],
 [208, 442, 468, 364, -468, 26, 546, -338, -442, 650, -52, -546],
 [96, 204, 216, 168, -216, 12, 252, -156, -204, 300, -24, -252]]

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[User]
Find the rank of the matrix:
[[-660, -203, -520, 129, -271, 178, -1384, 830, -1458, 236, 1899, 1522],
 [782, 1298, -562, 1227, 640, 983, 675, -905, 952, 799, -585, -343],
 [-792, -178, -592, -352, -212, -96, -299, -295, -888, 217, 944, 1001],
 [-242, 406, -1132, 821, -383, 494, 507, -727, 312, 1063, 61, 328],
 [1507, 159, 1069, 520, 418, 406, 852, 38, 1985, 14, -1876, -1617],
 [-313, -754, 154, 188, -728, -984, 280, 154, 710, -200, -827, -785],
 [85, -983, 493, -479, -75, -74, 372, -788, 373, 608, -439, -8],
 [-1223, -33, -781, 23, -163, -436, -1250, 326, -1121, -194, 1817, 1798],
 [8, -797, 650, -787, -23, -494, 804, -806, 1120, -97, -1075, -346],
 [-394, -1794, 668, -520, -726, -870, -258, 46, -172, 280, -122, -112],
 [-897, -624, 73, -918, -578, -940, -580, 894, -1205, -961, 662, 202],
 [225, 1021, -168, 469, 777, 198, -110, -306, 82, -273, 84, 65]]

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[User]
Find the rank of the matrix:
[[-347, 883, -125, -597, 649, -1388, -692, 658, -194, -561, -953, -116],
 [-500, 393, 77, -302, 127, -450, -153, -310, -534, 291, -743, -54],
 [-571, 409, 27, -369, 201, -548, -152, -250, -544, 289, -897, 50],
 [512, 199, -90, 38, -146, -488, -668, 730, 303, -439, 82, 21],
 [-808, 670, 102, -518, 374, -764, -188, -396, -758, 276, -1096, -170],
 [-419, -107, -214, -253, 90, -238, 99, -14, -231, 417, -898, 713],
 [497, -868, 210, 702, -1044, 1398, 412, -768, 39, 821, 893, 131],
 [457, 150, -56, 62, -298, -406, -662, 548, 163, -201, -33, 95],
 [-785, -58, -37, -287, 121, 4, 402, -644, -595, 746, -955, 453],
 [-764, 52, -510, -646, 1522, -564, 776, 680, 424, -802, -604, 488],
 [-721, 479, -299, -674, 1197, -932, 195, 518, 33, -630, -836, 145],
 [49, 578, 32, -212, 322, -710, -492, 436, 29, -571, -79, -435]]

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[User]
Find the rank of the matrix:
[[63, -1541, 300, -390, -1098, 187, -286, 198, -34, -1235, 446, -988],
 [743, -7, -114, -509, -5, -7, 466, 487, -434, 257, -115, 480],
 [-707, 443, -38, 131, 21, 150, 816, -292, 569, -124, -324, -194],
 [-606, 758, 413, 83, 523, -343, 292, 241, 93, 475, -694, -58],
 [55, 172, -103, -596, -129, 341, 1560, -61, 79, -152, -118, 499],
 [-305, -477, -271, -393, -886, 54, -470, 860, 20, -1788, 106, 698],
 [61, -902, 578, -553, 682, 279, -725, -694, -745, 546, 571, -503],
 [-152, -577, 628, -1761, 916, 409, 602, -11, -1037, 77, 255, 875],
 [583, 740, -1131, 246, -77, 501, 835, -355, 328, 299, -63, 677],
 [-300, 685, -200, 927, 149, -1074, -1064, 845, 689, -288, 240, 979],
 [-1305, 1260, 0, -779, 257, 1238, 363, -149, -970, -278, -2165, -185],
 [94, 263, 100, -1574, 888, 1107, 797, -298, -1446, 765, -950, 249]]

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[User]
Determine the rank of the following matrix:
[[-540, 805, 26, 287, -1071, 2271, 1265, -513, -28, -1127, -2334, -1018],
 [1021, -358, 281, -374, 490, -566, -599, 1073, -761, 1570, 1532, 310],
 [707, 176, -327, -761, -723, 1111, -1129, 491, -1271, 1638, 161, 283],
 [205, -569, 662, -166, 834, -2304, 1, -319, -638, 276, 2134, 137],
 [1123, -284, -1470, -1227, 182, 502, -1658, 853, 918, 294, 341, -979],
 [213, -230, -1143, -444, -845, 1409, -1025, -85, 242, 35, -847, -1281],
 [769, -694, 7, 362, -925, 338, -141, 227, -930, 941, 559, 489],
 [-538, -503, 1650, 1982, -65, -1063, 671, -790, 47, -1175, 380, -411],
 [49, -45, 1761, 1007, -1435, -335, 1792, -509, -956, -48, 330, 1709],
 [-1951, 103, -1334, 288, -692, 908, 149, -1836, -5, -679, -2416, 24],
 [-1040, -908, 250, 1216, 800, -2287, -851, -1630, -1001, 13, 1430, 62],
 [321, -1378, -16, 792, 889, -1080, -488, 989, 100, 573, 1170, -414]]

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[User]
Calculate the rank of matrix A where A =
[[1417, -1025, -1238, 1017, 132, 1501, 759, -753, 1254, -612, 1226, 391],
 [110, 648, -472, 775, -439, 345, -229, -572, -386, 184, 243, 296],
 [-576, 461, 675, 60, -326, -662, 66, 264, 37, -701, 346, -1132],
 [859, 581, 517, 350, -330, 502, 265, -253, -247, 199, -466, 956],
 [-1497, 866, -256, -1328, -829, -754, -361, -80, -576, 1147, -1189, -794],
 [-56, 4, 317, 559, -169, 32, -768, -57, -742, -591, 710, -527],
 [-582, 707, 405, 587, -29, -464, 531, -291, 404, 166, -140, -431],
 [964, 367, 353, 76, -629, 757, 136, -304, -132, -255, -84, 391],
 [788, -10, -849, 311, -441, 777, -465, -231, -450, -290, 599, 578],
 [-393, 28, -96, -375, 262, -190, -1180, 223, -477, -662, 631, -571],
 [756, -623, 797, 599, 1140, 441, 708, -189, 1194, -436, 216, 319],
 [-1137, 607, 441, -277, 826, -1396, -128, 698, -86, 389, -577, 162]]

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[User]
Calculate the rank of matrix A where A =
[[5, -435, 370, -388, 1125, 399, 1279, -521, -469, -1746, -542, 676],
 [-146, -470, -503, 128, 978, -142, -101, -319, -614, -390, -316, 358],
 [715, -89, -604, 449, 527, -434, -382, 199, 601, 481, 629, 1317],
 [8, 449, -67, 127, -662, -117, -567, -132, 498, 1223, 589, -677],
 [-124, 136, -270, -1055, -769, 392, 602, -888, 893, -181, -40, -496],
 [540, -1123, 975, -116, 418, 595, 333, -759, 583, -52, 86, -53],
 [563, -1089, 1533, 21, 376, 42, 487, 239, -27, -783, -1012, -109],
 [657, 724, -462, -19, -1032, 149, 656, 1142, -884, -1005, -1032, -317],
 [-191, -452, -160, -465, -82, 190, 73, -653, 345, 461, 38, -21],
 [653, 508, -582, -535, -714, -379, 871, 741, 145, -771, -916, 671],
 [-144, 701, 182, -164, -622, 340, 358, -181, -204, 2, 57, -987],
 [628, -674, 82, 943, -247, 533, -1042, 219, -412, 1233, 443, -676]]

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[User]
What is the rank of the matrix:
[[-174, -317, -370, -171, -621, 3, -101, 88, 501, 1062, 106, -503],
 [573, -399, 607, -125, -572, -764, 686, -56, -99, -870, 286, 871],
 [35, -839, -142, 459, -503, -1365, -471, -237, 1019, 546, 800, 848],
 [533, 735, 1622, -615, 417, -181, -147, 506, -1777, -1162, -107, 32],
 [-828, 841, 367, -840, 922, 533, 119, 783, -1425, -595, -872, -1183],
 [-357, 714, 162, -449, 567, 931, 111, 294, -924, -298, -633, -929],
 [513, -113, -253, -161, -74, 398, 562, -39, -305, -756, -737, 237],
 [-1046, -811, -992, 818, -87, 52, 147, -1507, 1252, -290, 191, -8],
 [-133, -202, 752, -618, -437, -1262, -474, 798, -340, 649, 435, -178],
 [-762, -555, -1478, 104, 314, -96, 338, 58, 735, -28, -810, -53],
 [-1208, -740, -1240, -72, -137, -42, -19, -350, 697, 450, -594, -831],
 [875, 251, 480, -356, -498, 28, -532, 687, -295, 1114, 212, -146]]?

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[User]
Determine the rank of the following matrix:
[[480, -396, 669, 1112, -436, -437, 80, 672, -309, 884, 915, 509],
 [-552, 1215, -606, -1791, 1856, -31, -290, -323, -832, -1229, -1871, 232],
 [481, 44, 676, 241, -491, 115, -614, -245, -238, -393, 68, -719],
 [77, 251, 1239, 533, 807, -208, -602, 712, -1377, 372, 191, -179],
 [-66, -227, -19, -12, -454, -71, -12, -219, 661, 75, 147, -246],
 [503, -533, -535, 467, 696, 391, 806, -431, -579, 996, 216, 711],
 [463, -321, -78, 469, -92, -789, 200, 438, -49, 680, 321, 1219],
 [247, 546, 145, -925, 1361, -882, -262, -52, -1078, -595, -1225, 1249],
 [125, -316, 699, 663, -91, -254, -474, 451, -297, 553, 561, -174],
 [711, 178, -881, -451, 567, -1448, -598, 569, -533, -190, -796, 2106],
 [773, 103, -734, -533, 156, -540, -366, -304, -353, -679, -804, 1081],
 [-347, -64, -373, -510, 128, 872, 304, -804, 219, -504, -314, -719]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-448, -372, -1701, 450, 965, -457, -496, 635, 485, 760, 295, -997],
 [-230, -820, -148, 166, 682, -385, 85, -235, -1248, 384, 346, 93],
 [620, -233, -950, 282, 1288, -157, 642, -192, 455, 484, 787, 171],
 [656, 167, 457, 793, 385, 31, 831, -455, -32, 369, 605, 479],
 [473, 243, -47, -86, 554, -881, 1373, -125, -198, 627, 1141, 657],
 [466, -1142, -240, -349, 1184, -544, -446, -810, -1085, 340, 584, 182],
 [913, 229, 412, -121, 87, 63, -442, -533, 522, 11, 213, 51],
 [779, 938, 1396, -212, -187, 555, 419, 121, -979, 444, 451, 197],
 [-214, 502, -169, 389, 38, 97, -251, 721, 443, 383, -101, -622],
 [272, 482, 1265, -1391, -72, -209, 399, 296, -1544, 170, 348, 496],
 [531, 376, 219, 138, 68, -480, -489, -75, 133, 669, 546, -422],
 [1100, 856, 319, -408, -179, 226, 1437, -452, 1051, -344, 557, 1044]]

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[User]
What is the rank of the matrix:
[[-92, 370, -164, 171, -137, -334, -82, 4, 109, 73, -93, -60],
 [-24, -102, -11, -36, 47, 107, 54, 13, 25, 46, 56, -61],
 [-889, 548, -239, 6, 528, -31, 574, 643, 16, 748, -215, -1112],
 [14, -612, -806, 194, -378, 342, -8, -418, 1026, 458, 816, -288],
 [410, -782, -275, 10, -345, 403, -182, -495, 521, -72, 608, 305],
 [152, -144, -241, 119, -268, -25, -152, -249, 328, 3, 239, 125],
 [673, -930, -186, 4, -493, 404, -352, -676, 493, -304, 653, 641],
 [974, -1098, 365, -220, -355, 527, -434, -663, -53, -762, 422, 1109],
 [423, -26, -344, 296, -637, -330, -468, -526, 477, -208, 271, 505],
 [-524, -70, -720, 155, 35, 190, 326, 88, 737, 769, 435, -864],
 [90, 44, -469, 271, -422, -225, -216, -305, 546, 115, 281, 47],
 [-861, 622, -267, 53, 459, -125, 516, 607, 41, 721, -232, -1060]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[-536, 344, -374, 56, 780, -682, 58, -772, 46, 228, -548, -286],
 [96, 369, 711, 544, 427, -528, 714, 311, -491, 364, 642, 232],
 [176, -72, 581, 149, 98, -133, 234, 223, -113, 233, 307, 296],
 [22, 335, -1083, -267, -348, 154, -102, -112, 92, -150, -171, -779],
 [64, 350, 525, 771, -216, 253, 522, 851, -769, -513, 945, 376],
 [-102, 306, 82, 400, 53, -26, 283, 244, -389, -229, 346, 54],
 [-252, 695, 114, 512, 783, -869, 703, -193, -450, 402, 248, -187],
 [-758, 463, -700, 125, 758, -569, -51, -862, -19, -88, -677, -392],
 [36, -649, -941, -1097, -387, 386, -997, -736, 1013, 93, -1131, -465],
 [-102, 322, -474, 298, -447, 482, 29, 406, -381, -723, 316, -176],
 [-128, -269, -65, -109, -173, 342, -367, -60, 143, -341, -243, 167],
 [242, 383, 145, 518, -436, 314, 471, 837, -616, -391, 890, 36]]

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[User]
Determine the rank of the following matrix:
[[-176, -464, -224, 810, -319, 685, 597, -438, 195, 1003, -355, -726],
 [-307, 693, 559, -1, 945, -749, 271, 1213, -372, -707, -409, -182],
 [-1342, -75, -101, 134, -427, -176, 394, 211, -256, 39, 369, 1321],
 [-180, -1047, -950, -684, -1502, 239, -544, -731, -305, -1257, 1276, 593],
 [-1110, -1499, 645, -291, 172, 1060, -1532, -1298, -501, 781, -812, -27],
 [673, -212, -665, 998, -124, -359, 849, 562, 96, -1088, 385, -1289],
 [200, 950, -15, -951, -61, -528, 383, 501, 285, -33, 589, 844],
 [-501, 530, 138, 1403, 248, -23, 1477, 1137, 181, 227, -1106, -1512],
 [-998, -376, -101, -820, 242, -410, 796, 1248, 861, -607, 287, -1313],
 [-280, 913, -337, -758, -724, 719, 708, 1091, -230, 318, -1111, -1241],
 [509, 297, -26, 765, -30, 33, 361, 119, -428, -286, -361, -581],
 [312, 291, 466, 513, 1075, -1021, 787, 224, 1171, 341, 680, 183]]

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[User]
Calculate the rank of matrix A where A =
[[-275, -506, -442, 105, -341, 587, 224, -119, 299, -198, 275, -114],
 [-364, -136, -210, 48, -140, 316, 158, -110, 510, 116, 86, -68],
 [613, -122, 107, -21, 31, -229, -175, 154, -934, -444, 38, 60],
 [-155, -26, -67, 15, -41, 107, 59, -44, 224, 72, 20, -24],
 [416, 80, 187, -42, 116, -296, -161, 119, -599, -186, -59, 66],
 [314, -196, -39, 12, -62, -2, -55, 67, -507, -322, 89, 10],
 [414, -60, 88, -18, 34, -174, -124, 106, -626, -284, 14, 44],
 [-129, -318, -264, 63, -207, 345, 126, -63, 123, -150, 171, -66],
 [92, 632, 473, -114, 384, -596, -195, 81, -1, 394, -333, 110],
 [-463, 62, -102, 21, -41, 199, 140, -119, 699, 314, -13, -50],
 [115, -134, -58, 15, -59, 53, -4, 19, -199, -162, 65, -6],
 [144, -480, -292, 72, -256, 336, 76, -4, -316, -424, 244, -56]]

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[User]
Calculate the rank of matrix A where A =
[[322, -483, -200, 906, 659, -624, -957, 156, 1253, 247, 428, -982],
 [395, 66, 220, -600, -66, -195, 649, 263, -196, -44, -895, 549],
 [-54, 1008, 77, 447, -1001, -93, 1044, -97, -2091, -344, 540, 306],
 [2, 744, -353, 71, -399, 1222, -733, 482, 687, -1038, -520, 122],
 [-1127, -140, 710, -835, 536, 555, -804, -1065, 996, 260, 580, 102],
 [125, 159, -13, -213, 427, -432, 63, -190, 574, -184, -480, -252],
 [-649, 482, -316, -438, 26, 622, 281, -557, -297, 335, 624, -308],
 [379, -125, -334, 625, -119, -269, -230, 372, 60, -604, -377, -121],
 [-447, 1018, -98, -1039, -484, 1026, 892, -247, -843, -89, -193, 497],
 [-891, -432, 320, -965, 54, 290, 482, -847, -695, 615, 441, 499],
 [-230, 331, 749, 390, -782, -268, 272, -257, -1379, -548, 368, 734],
 [-509, -320, 564, -751, -258, 333, 228, -365, -556, -10, -146, 936]]

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[User]
Calculate the rank of matrix A where A =
[[11, -2274, 136, 277, -483, -160, -678, 1007, -306, 812, 285, -2334],
 [774, 0, -906, 192, -213, 44, 813, -757, 397, 44, -1510, 109],
 [-393, 899, -1161, 891, 746, -201, 437, -404, -161, 519, -1705, 1363],
 [418, -642, -1011, 403, 467, -86, 514, -154, -200, 243, -1056, -147],
 [-202, -1138, 154, -89, -393, 599, -309, 306, -92, 89, 492, -1074],
 [-1273, 717, 106, 412, 42, 436, 503, 4, 105, -41, 399, 555],
 [659, -1222, 719, -927, -223, -225, -1465, 840, -292, -618, 1703, -888],
 [-346, 466, -152, 136, 800, -644, 555, 548, -275, 36, -77, 501],
 [-45, -225, 53, 371, 539, -584, -997, 286, -593, 578, 151, 100],
 [-675, 1163, 656, -254, 111, 61, 182, 214, 54, -58, 290, 659],
 [830, -1701, -662, -703, -1057, 1285, -193, -406, 425, -935, 197, -887],
 [1173, -199, -863, -682, -988, 1301, 1525, -1727, 792, -560, -1264, 207]]

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Calculate the rank of matrix A where A =
[[-399, -171, 152, 418, -133, 190, -19, -171, -209, -57, 171, 399],
 [-189, -81, 72, 198, -63, 90, -9, -81, -99, -27, 81, 189],
 [-294, -126, 112, 308, -98, 140, -14, -126, -154, -42, 126, 294],
 [-378, -162, 144, 396, -126, 180, -18, -162, -198, -54, 162, 378],
 [210, 90, -80, -220, 70, -100, 10, 90, 110, 30, -90, -210],
 [63, 27, -24, -66, 21, -30, 3, 27, 33, 9, -27, -63],
 [336, 144, -128, -352, 112, -160, 16, 144, 176, 48, -144, -336],
 [21, 9, -8, -22, 7, -10, 1, 9, 11, 3, -9, -21],
 [399, 171, -152, -418, 133, -190, 19, 171, 209, 57, -171, -399],
 [483, 207, -184, -506, 161, -230, 23, 207, 253, 69, -207, -483],
 [-189, -81, 72, 198, -63, 90, -9, -81, -99, -27, 81, 189],
 [-147, -63, 56, 154, -49, 70, -7, -63, -77, -21, 63, 147]]

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[User]
Compute the rank of the given 12x12 matrix:
[[24, -117, 416, 285, -48, 240, -526, 102, -88, -285, 704, -123],
 [-46, -316, -344, 550, 84, 127, -480, -655, 300, 573, 326, 486],
 [399, -715, 374, 1485, 27, 908, -505, -1025, 507, 377, 1131, 65],
 [288, -59, -441, 726, 282, 253, -180, -877, 581, 748, -34, 550],
 [-25, 580, -269, -527, 150, -345, 66, 414, -59, -106, -525, 155],
 [-259, 359, -540, -245, 104, -308, -494, 243, 12, 98, -49, 521],
 [768, 529, 450, 145, 814, -172, -760, -934, 332, 675, -440, 317],
 [20, 852, 29, -1031, 252, -637, 28, 679, -303, -305, -814, -35],
 [-236, -294, -306, -208, -63, -281, 163, -295, -43, 398, -330, 146],
 [583, -111, -107, 1326, 345, 710, -435, -1059, 772, 645, 505, 470],
 [-623, 120, -900, -766, 42, -830, -362, 59, -166, 503, -561, 692],
 [958, 164, 989, 531, 494, 400, -42, -766, 295, 172, -92, -381]]

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[User]
What is the rank of the matrix:
[[275, -700, -680, 640, -830, -549, 264, -862, -322, -821, 15, 1071],
 [693, -431, -1180, -1787, 348, -893, -631, -204, 83, -497, 224, -612],
 [-1020, 417, 630, 697, 105, 668, -672, 256, -799, 7, 614, 622],
 [949, -537, -703, 996, -837, -658, 1285, -992, -203, 1632, 225, 167],
 [1176, -10, -582, -2286, 974, -686, 156, -777, -132, 614, -1120, -837],
 [-4, 1421, 604, 10, -890, 868, 552, -307, -811, -1215, -423, -321],
 [200, 1691, 5, -117, -352, 532, 89, 96, -1353, -624, 1105, -599],
 [1220, -1665, -249, -453, -593, -1334, 1092, -629, 491, 347, -1082, -821],
 [-86, 1253, 0, 418, -468, 158, 494, -48, -1657, -749, 253, 580],
 [768, -217, 17, -1397, 1923, -647, 228, -356, -373, 1770, -924, -173],
 [11, 888, -595, -332, -830, 393, -307, -189, -427, -2005, 861, -42],
 [204, 1205, -303, -2043, 631, 146, -390, -43, -818, -411, -285, -729]]?

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What is the rank of the matrix:
[[324, -707, 465, -875, 246, -832, -845, -233, 449, -466, -732, -1055],
 [50, -527, -533, -368, 241, -335, -714, -594, 180, 71, -208, -331],
 [41, -171, 468, -512, -97, -568, -261, 257, 441, -185, -545, -594],
 [394, -661, -91, -316, 503, -157, -678, -726, -156, -359, -68, -437],
 [-184, -63, -3, -392, -211, -505, -240, 212, 510, 151, -458, -345],
 [-363, 406, -247, 203, -353, 74, 344, 370, 172, 411, 47, 351],
 [485, -580, 511, -451, 415, -306, -530, -368, -58, -605, -265, -675],
 [-185, -139, -230, -357, -138, -451, -338, 24, 452, 212, -381, -282],
 [-554, 79, -1015, -89, -322, -270, -241, -49, 505, 770, -170, 201],
 [337, -651, -64, -411, 428, -287, -710, -632, -16, -318, -191, -520],
 [-69, 450, 231, 423, -165, 408, 606, 372, -246, 27, 309, 429],
 [289, -670, -71, -513, 375, -418, -776, -582, 116, -277, -309, -609]]?

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[User]
What is the rank of the matrix:
[[555, -172, -1296, -1232, 1198, 697, 1130, 495, 1259, -241, 1553, -472],
 [-918, 388, 734, -168, -614, -152, -388, 296, -738, 113, -247, 92],
 [-19, -988, -162, 182, 57, -3, -21, 125, 425, -611, -32, -486],
 [151, 509, 103, 671, -815, -672, -909, -114, -155, -161, -843, -177],
 [387, 450, 217, -588, 627, 622, 949, -15, 1044, 628, 1096, -165],
 [1192, -144, -1200, 465, 247, 246, 642, -896, -825, 662, 397, 954],
 [-52, -336, 192, -291, 896, -448, -945, 771, -192, -885, -685, -465],
 [658, -300, -1007, -34, 844, 221, 1104, -608, 201, 521, 482, 833],
 [-693, 346, 843, -164, 226, -967, -27, -449, 991, 401, -288, 133],
 [-981, 239, 1230, -378, -621, 628, 456, 512, 973, 137, 499, -665],
 [-678, 488, 153, -45, -1142, -371, -1015, 507, 765, -920, -517, -1036],
 [670, 510, -703, -337, 662, -59, -710, 513, 264, -731, -347, -413]]?

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[User]
Calculate the rank of matrix A where A =
[[-289, 1031, 126, -555, -143, 95, -838, -255, 47, 373, 263, 473],
 [1002, -416, 1389, -1147, 187, 583, 289, -980, -483, -1, 80, 1765],
 [-890, 662, -1133, 732, -260, -413, -521, 771, 406, 134, -38, -1309],
 [356, -246, 574, -160, 174, 755, -290, -6, -114, -112, 308, 780],
 [-457, 849, 218, 535, 1169, 13, -637, -106, 200, -76, 363, -288],
 [-226, 648, 673, -567, 15, 773, -808, -143, -504, 184, 138, 814],
 [-232, 803, 1007, -358, 789, 810, -804, -316, -588, 48, 65, 708],
 [-95, -108, 416, -1094, -1383, 619, -175, -103, -820, 310, -36, 1118],
 [-53, -164, -25, 78, -421, 56, -266, -74, 402, 12, 1068, 655],
 [441, 7, 477, -611, 291, 19, 416, -387, -498, 48, -917, 111],
 [633, 16, -659, -185, -290, -270, -45, 220, 756, 170, -278, -256],
 [727, -839, 400, 43, 369, -174, 738, -461, 213, -267, 271, 471]]

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[User]
Compute the rank of the given 12x12 matrix:
[[533, -1291, 1037, 376, -763, -390, -416, -273, 619, 1070, 319, -171],
 [-753, -257, -343, 426, -203, -408, 274, -199, 252, -475, 790, 202],
 [-486, -193, -37, 158, -848, -622, 142, -710, -381, -198, 918, 185],
 [515, -406, 244, 351, -740, -877, 258, -807, -274, -610, 453, -456],
 [121, -1473, 109, 506, 941, 651, -329, 454, 143, 898, 368, -653],
 [665, -1721, 1012, 797, -694, -310, -70, -392, -180, 1634, 450, -858],
 [143, 228, 177, 761, -1480, -392, 864, -459, 291, 77, -83, -231],
 [-269, 468, 892, -139, 1, 1005, 1127, 1431, 1180, 126, -1448, 303],
 [-360, 968, -136, -864, 1839, 1568, 606, 1715, 239, -281, -1609, 128],
 [605, 48, -1431, 310, 191, -437, -971, -1192, -41, -103, 668, -499],
 [-81, -380, 312, -124, 770, 954, 1152, 691, -411, -230, -493, -772],
 [30, 968, -501, -470, 189, 441, 524, -25, -365, -673, -540, -148]]

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[User]
What is the rank of the matrix:
[[546, 267, -255, 416, -1154, -674, -219, 135, 748, 366, -244, -868],
 [988, 471, -402, -74, -897, 342, 457, 309, 917, 810, -99, -556],
 [-569, -584, 717, -857, 472, -240, 461, -559, -901, -442, 379, -466],
 [-30, -34, -820, 976, -401, -295, -279, 681, 282, 104, 58, -57],
 [640, -144, -798, 390, -926, 76, 97, 510, 673, 469, -148, -688],
 [234, 46, 600, -388, -436, -224, 215, -202, 385, 243, -396, -518],
 [331, -701, 254, -860, -452, 60, 256, -584, 23, 57, -364, -1078],
 [290, 709, 600, -605, 273, 592, 813, 55, 307, 555, 74, 382],
 [-18, -630, -398, 151, -396, -244, 103, 318, -317, -282, 419, -622],
 [-33, 146, 561, 354, -167, -393, -622, 110, 159, -409, -324, 457],
 [369, 562, -231, -32, 32, 134, -536, -519, 126, 4, -42, 318],
 [39, -686, 364, -313, -466, -287, -97, -318, 217, -17, -706, -805]]?

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[User]
Determine the rank of the following matrix:
[[-341, 134, 34, 143, -37, 579, 145, 146, 667, 34, 750, 480],
 [-80, -243, -827, -617, -35, -253, 118, 292, -1017, 440, -148, 284],
 [-855, -743, -166, -1363, 46, -506, -199, 424, -1004, -60, 677, -65],
 [-199, 501, 235, 410, -752, 548, 1181, -670, 1149, 324, -282, -591],
 [-702, -444, -1126, 262, 19, -350, 515, -333, -602, 1072, 395, 1077],
 [136, -404, -864, 872, 41, -894, -235, -993, -721, 1314, -565, 218],
 [-475, -478, 20, -1332, -13, -250, -342, 535, -765, -231, 465, -328],
 [246, -45, -254, -547, 35, 104, -551, 441, -445, 89, 88, -51],
 [868, 595, 1130, -94, 241, 641, -692, 704, 748, -1354, -163, -578],
 [62, -41, -433, -102, -256, -348, 498, -290, -518, 411, -678, -262],
 [-527, -63, 48, -1046, -399, 303, 391, 346, -9, -89, 409, -389],
 [-678, 124, -675, 764, -662, 273, 1317, -973, 711, 1279, 130, 338]]

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[User]
Compute the rank of the given 12x12 matrix:
[[286, 38, -123, 103, 82, -488, 94, -278, -49, 260, -107, -279],
 [-606, 147, 593, 290, 213, 209, -66, -25, 670, -882, 193, 537],
 [-304, -705, -486, -125, 27, -21, 1008, -143, 41, -134, 98, -666],
 [-195, -382, -61, 511, 457, -912, 745, -764, 464, -51, -185, -645],
 [693, 406, -40, 310, 240, -1276, 167, -735, 182, 129, -40, -400],
 [91, -233, -317, -20, 71, -465, 737, -338, 128, -181, 147, -525],
 [20, 120, 30, -312, -295, 746, -582, 577, -399, 238, -14, 418],
 [-438, 439, 735, 290, 180, 171, -352, 10, 673, -924, 235, 755],
 [455, -476, -823, -437, -289, 34, 335, 148, -808, 967, -195, -735],
 [-205, -468, -146, 360, 319, -544, 519, -490, 177, 253, -286, -574],
 [-148, 214, 185, -207, -155, 462, -94, 307, 144, -596, 341, 433],
 [346, -120, -306, 144, 157, -818, 492, -517, 9, 260, -94, -622]]

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[User]
Determine the rank of the following matrix:
[[330, 862, -193, 630, -68, -318, -406, -373, 810, -861, -581, -1557],
 [509, 334, 331, -665, -38, -58, 71, 362, -602, 370, -872, 370],
 [-665, 340, -102, -390, -806, 420, 146, 50, 455, 32, 34, -402],
 [502, 1035, 16, 912, 508, -175, 860, -471, 321, 124, -112, 293],
 [-785, -470, 75, -422, -418, 167, -299, -37, 90, 123, 508, 427],
 [-635, -1477, 52, -1369, -144, 334, -502, 919, -571, 570, -71, 641],
 [-366, 259, 1034, -925, -415, -311, -710, -361, -593, 406, -1115, 1337],
 [370, -92, 742, -82, -390, -108, -510, -443, -1297, -217, -999, 51],
 [126, 1229, 363, 1407, 173, -525, 82, -1402, 533, -507, -16, 112],
 [-558, -888, 111, -1078, -505, 433, -424, 631, -457, 251, -689, -153],
 [-194, -1113, 104, -639, -146, 60, -866, 397, -566, -162, -463, -353],
 [-713, -472, 116, -408, 156, 31, -179, 113, 303, 407, -92, 767]]

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[User]
Find the rank of the matrix:
[[566, 768, 662, 263, 628, -506, 891, 138, 273, -778, -239, -371],
 [444, 165, -251, 45, 727, -745, 82, 63, -843, -589, -1421, 565],
 [-937, -535, 142, -370, -326, 1241, 86, 87, 949, 1161, 532, -838],
 [-431, 756, 319, 124, 1711, -791, 832, -722, 375, 831, -315, -266],
 [351, 333, -753, -542, 558, 43, 537, -175, 279, 95, -739, -147],
 [73, -796, -216, 135, -1479, 564, 3, 80, -428, -1000, -338, -130],
 [124, 26, -439, -52, 676, -707, -320, -232, -362, 149, -474, 571],
 [-498, -123, 564, 639, 979, -1085, 287, -559, -411, -35, -736, 136],
 [167, -330, -2139, -603, -1101, 354, 378, -1313, -297, -146, -474, 103],
 [719, 289, -498, -267, -782, 447, 1263, -350, 887, -1025, 110, -933],
 [98, 799, 1038, 87, 493, 211, 579, 445, 875, 169, 800, -680],
 [563, -60, -741, 109, -436, -640, 176, -667, -168, -875, -50, 232]]

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[User]
What is the rank of the matrix:
[[722, 342, -282, 43, 16, -186, 72, 704, 1103, 40, 613, 536],
 [71, -108, 653, -254, -182, -942, -290, 643, -925, -566, -671, 88],
 [370, -26, -880, -176, -320, 589, -129, -376, 586, 564, -321, 72],
 [-32, -21, 746, 1286, -250, -352, -306, -510, 16, -176, 159, -746],
 [-383, 140, 761, 747, 375, -790, 701, -164, -666, -191, -188, -747],
 [293, 538, -135, 191, 406, -137, -545, 653, -100, -1034, -91, -160],
 [-73, -618, 73, -951, -580, -222, 238, -23, -402, 750, -539, 588],
 [-251, 148, -719, -399, 449, 1106, -5, -178, 496, 39, 674, 247],
 [7, 314, 307, 227, 313, -334, -493, 496, -520, -1005, -152, -253],
 [683, 306, 65, 807, -238, -256, -586, 281, 762, -346, 284, -112],
 [689, -66, -289, -87, -484, 30, -18, 263, 1236, 630, 559, 688],
 [-237, -286, -343, -942, -85, 423, -118, -14, -403, 161, -320, 409]]?

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[User]
What is the rank of the matrix:
[[-68, -285, -226, -231, -708, 375, 27, -266, -639, 314, 140, 537],
 [-380, 606, 112, 452, 682, -1483, -854, -977, 233, -648, 131, -929],
 [462, -330, 7, 71, 246, -460, -603, -476, -74, -1000, 152, 272],
 [141, 1073, 688, 167, 926, 298, -90, 465, 622, -60, -318, -325],
 [430, -373, 671, 166, 669, 403, 852, 301, 317, -1282, -443, 208],
 [913, 283, -375, 359, 384, 39, -94, -435, -299, 97, 348, 1425],
 [-686, -639, -24, -777, -1482, 253, 59, -618, -833, -140, -470, -159],
 [-724, -86, -67, 28, -129, -1050, -1406, -456, -66, -197, 632, -1230],
 [-78, 62, 136, 59, 230, -758, 120, -642, 198, -834, -530, -378],
 [302, -204, 13, -210, 40, 1073, 794, 1526, 599, 763, -194, 108],
 [451, 892, 905, -190, 936, 1408, -131, 1957, 1108, 405, -268, -376],
 [222, 568, -371, 49, 188, 35, 454, 436, 497, 989, -302, 146]]?

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[User]
Determine the rank of the following matrix:
[[-69, 1496, -771, -306, 608, 97, 388, 489, 94, 576, -580, 684],
 [-1987, -1824, 825, 442, -274, -257, 2578, 635, 2109, -233, 1099, -1487],
 [511, 1204, 237, 1103, 636, 587, -1159, 367, 1291, -2111, 72, -45],
 [436, -481, 21, -39, 1018, 85, -578, -1561, 70, 590, -1454, 1257],
 [-12, 215, 243, -152, 579, 62, -1626, -1174, -601, 485, -1079, 2013],
 [-398, -639, 1597, 392, -799, 791, 557, -682, 2028, -1085, 394, -1267],
 [-474, -731, 98, -366, 131, 718, -29, 7, 957, -416, -373, -146],
 [34, -635, 309, -1088, -957, 733, 46, -481, -581, 1050, 92, -330],
 [-676, -154, -200, -254, 1067, 628, -641, -424, -424, 1313, -84, -577],
 [433, -132, 351, -634, 166, 1594, -514, -678, 681, 407, -276, 254],
 [-274, -755, 474, -266, -176, 88, 291, -1322, 197, 683, -960, 952],
 [-950, -1583, -312, 41, -172, 286, -138, 264, 82, -630, -11, -1811]]

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[User]
Find the rank of the matrix:
[[613, 905, 472, 215, -476, 737, 105, -164, 730, 1059, 456, 287],
 [-213, -1197, -1017, -1392, -474, 10, -379, -350, -88, 1436, -921, 256],
 [848, 1023, -188, 1095, 260, -1085, -20, 994, 305, -889, 160, 555],
 [-342, 447, 659, 1635, 15, 935, -386, -221, 286, -1135, 1530, 324],
 [755, 324, -1120, -405, 524, -625, -302, 124, -371, 965, -70, 338],
 [1054, 123, 1009, 74, 61, 65, -672, 857, -440, -881, -665, 130],
 [-869, 645, 73, 306, 940, 378, 936, -973, -474, -298, 1323, -996],
 [-307, -740, -181, 161, 161, 124, -749, 177, 224, 455, -128, 322],
 [1004, 1252, 1167, 1063, 1277, -603, -112, 572, -789, -277, 734, -677],
 [-561, 895, -635, 1035, 480, -587, 828, 254, 986, -674, 644, 189],
 [-546, 501, 363, 1295, 534, -69, 271, 362, 579, -1246, 660, -17],
 [1000, 837, 504, -765, 253, 405, 284, -352, -966, 262, 66, -556]]

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[User]
Compute the rank of the given 12x12 matrix:
[[173, -84, 321, -260, -578, 93, 49, -512, -120, 705, 739, -471],
 [29, 1030, 142, -423, -594, -950, -433, 164, 669, 740, 531, 29],
 [288, -1014, 261, 165, -48, 933, 414, -732, -675, 75, 384, -636],
 [435, -409, 225, 212, 52, 331, 102, -401, -144, 17, 349, -529],
 [-644, 178, -22, -646, -740, -42, 94, -82, -246, 726, 196, 324],
 [-216, 794, 102, -550, -716, -686, -270, 70, 378, 818, 472, 128],
 [9, 388, 116, -249, -382, -348, -151, -42, 219, 462, 359, -63],
 [566, 222, 65, 411, 436, -311, -240, 140, 459, -373, 10, -262],
 [246, -815, 157, 221, 110, 739, 319, -497, -507, -109, 170, -454],
 [234, 442, 376, -406, -784, -404, -188, -386, 258, 980, 950, -454],
 [110, -428, -62, 300, 396, 370, 146, -28, -204, -454, -270, -58],
 [-164, 678, 185, -587, -832, -575, -218, -96, 285, 959, 644, -16]]

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