[User]
Calculate the rank of matrix A where A =
[[-599, 743, 750, 421, 1476, 456, 960, -1232, 361, -301, 1274, -735],
 [-385, 119, 49, -1035, 494, 45, -57, -102, -2299, -2455, 190, 621],
 [-645, -137, 490, 798, 2079, -1032, 469, -998, -320, 1337, 616, 958],
 [-620, 319, 415, -799, 495, 141, 134, -381, -62, -489, 618, 918],
 [-1131, 169, -649, 153, -285, -310, 424, -1004, 325, -671, 1327, -671],
 [444, -829, -1317, -361, -952, -251, -1172, 44, 1452, -529, -1063, -180],
 [-458, 350, 129, 262, -283, 113, 410, -1453, 878, -189, 1289, -1068],
 [-572, -924, -1663, 920, -1245, -1088, -1628, 146, 225, 551, -784, -700],
 [21, -1012, -333, -1384, 82, 1109, -878, 262, -557, -1119, -249, -230],
 [-672, -363, -276, -180, 540, -405, 242, 408, -1384, -660, 36, 942],
 [1043, 390, 222, -358, -489, -16, 185, -502, 171, -635, -106, 382],
 [-492, 231, 824, 310, 584, 239, 429, -187, 357, 1539, 768, -127]]

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[User]
Calculate the rank of matrix A where A =
[[1035, 15, -366, -537, -135, 963, 411, 199, -83, 1619, -1040, 44],
 [328, -27, 411, -706, -196, 658, 1, -911, 579, 49, 937, 580],
 [641, -648, 297, 145, 969, 148, 466, 26, 842, -91, 918, 64],
 [-1319, 189, 463, 472, 831, 262, 816, -1167, 395, -660, 1197, 274],
 [-696, -254, -361, -383, -465, -626, 166, -952, -995, -162, -284, -311],
 [-449, -530, -1014, -157, -643, 936, -219, 1018, 182, 456, -1064, 236],
 [-525, -1507, -1082, 800, 156, -172, 86, -539, 460, 387, 1855, -173],
 [775, 78, -419, -104, -645, 222, -534, 2009, 416, -444, -1315, -205],
 [-1599, -96, -1734, 343, -829, 1510, 601, -196, -95, 1020, -762, 162],
 [-573, -175, -313, -195, 67, -789, 793, -892, -379, -1761, -91, -489],
 [-207, -301, -561, 244, 770, 925, 1408, 597, 201, 640, -1134, -323],
 [1551, 1086, 1269, -1124, -362, -267, -458, -1189, -152, -164, 416, 386]]

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[User]
What is the rank of the matrix:
[[-9, 180, 144, -18, -63, -225, -225, -27, 0, 18, -189, -99],
 [7, -140, -112, 14, 49, 175, 175, 21, 0, -14, 147, 77],
 [-6, 120, 96, -12, -42, -150, -150, -18, 0, 12, -126, -66],
 [-15, 300, 240, -30, -105, -375, -375, -45, 0, 30, -315, -165],
 [4, -80, -64, 8, 28, 100, 100, 12, 0, -8, 84, 44],
 [-17, 340, 272, -34, -119, -425, -425, -51, 0, 34, -357, -187],
 [14, -280, -224, 28, 98, 350, 350, 42, 0, -28, 294, 154],
 [-23, 460, 368, -46, -161, -575, -575, -69, 0, 46, -483, -253],
 [-12, 240, 192, -24, -84, -300, -300, -36, 0, 24, -252, -132],
 [26, -520, -416, 52, 182, 650, 650, 78, 0, -52, 546, 286],
 [15, -300, -240, 30, 105, 375, 375, 45, 0, -30, 315, 165],
 [14, -280, -224, 28, 98, 350, 350, 42, 0, -28, 294, 154]]?

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[User]
Determine the rank of the following matrix:
[[-80, 19, 154, -131, 198, -159, 23, -61, -244, -58, 674, 393],
 [594, 100, -992, -121, -498, 734, 135, 63, -562, -165, 250, -350],
 [-378, 359, 413, 142, 27, -29, -93, 192, -257, -135, 569, 698],
 [720, -702, -357, -530, 504, -477, 350, -506, -125, 279, 483, -592],
 [154, -469, 639, 350, 471, -767, 173, -148, 719, 577, -1329, -856],
 [-448, -547, 730, -138, 681, -830, -116, -410, 831, 185, -560, -31],
 [-254, 445, 1317, 913, 58, -668, 70, 621, 482, 614, -1045, -186],
 [-252, 478, 243, 133, -232, 111, -92, 359, -186, -79, 439, 503],
 [-220, 947, -329, 369, -986, 964, -223, 735, -349, -323, 43, 413],
 [-730, -63, 312, -317, 132, -169, -362, -149, 561, -251, 62, 574],
 [278, 669, -352, 199, -804, 555, 26, 663, -263, 53, 86, -134],
 [0, 514, 222, 341, -260, 132, 50, 439, -361, 54, 286, 259]]

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[User]
What is the rank of the matrix:
[[201, 313, -332, 199, -204, -188, 204, -173, -131, 358, 188, -273],
 [-309, 161, 230, -220, 291, 791, -291, 275, -79, 128, -185, 180],
 [42, 502, -260, 100, -58, 302, 58, -30, -218, 536, 110, -220],
 [-234, -890, 616, -302, 256, -192, -256, 194, 382, -972, -304, 514],
 [222, 706, -524, 268, -238, 74, 238, -186, -302, 776, 266, -436],
 [168, 162, -234, 153, -167, -235, 167, -146, -66, 194, 141, -191],
 [-276, -398, 442, -269, 279, 283, -279, 238, 166, -458, -253, 363],
 [-75, -85, 110, -70, 75, 95, -75, 65, 35, -100, -65, 90],
 [120, -290, 10, 55, -105, -485, 105, -110, 130, -290, 35, 15],
 [-54, 308, -82, -1, 41, 357, -41, 52, -136, 318, 13, -73],
 [-189, -697, 488, -241, 206, -138, -206, 157, 299, -762, -242, 407],
 [210, 806, -556, 272, -230, 178, 230, -174, -346, 880, 274, -464]]?

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[User]
Determine the rank of the following matrix:
[[370, -256, -1248, -930, 652, -70, 274, -218, 1030, -558, 492, -506],
 [355, -268, -1014, -750, 556, -145, 232, -134, 835, -459, 456, -458],
 [298, -332, 26, 51, 134, -494, 47, 247, -32, -20, 306, -253],
 [-289, 376, -468, -393, 38, 667, 29, -421, 401, -165, -258, 179],
 [-71, 164, -702, -552, 232, 413, 106, -344, 589, -285, -12, -44],
 [22, 36, -494, -381, 198, 174, 87, -185, 412, -208, 66, -93],
 [432, -372, -858, -621, 534, -336, 219, -9, 702, -402, 522, -501],
 [544, -632, 260, 258, 164, -992, 50, 538, -236, 52, 540, -430],
 [-92, 0, 832, 636, -360, -204, -156, 268, -692, 356, -168, 204],
 [72, -108, 234, 189, -54, -216, -27, 153, -198, 90, 54, -27],
 [130, -172, 234, 195, -26, -310, -17, 199, -200, 84, 114, -77],
 [-132, 60, 702, 531, -330, -84, -141, 183, -582, 306, -198, 219]]

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[User]
Compute the rank of the given 12x12 matrix:
[[805, -654, -414, 294, 73, -863, -687, -945, 704, 456, 415, 612],
 [-134, -512, 943, -402, -313, -261, -1577, -1892, -609, 150, 164, 666],
 [738, -317, 193, 931, 159, 218, -1404, -2099, 153, 60, 220, 1024],
 [258, 618, -981, 849, 492, 298, 888, 1199, 1179, 825, 238, -479],
 [-1907, 1322, 1313, -214, 954, 1261, -823, 432, -832, 955, 804, -1535],
 [-1670, 189, 941, 49, -478, 745, 690, 1470, 762, -827, 372, -2001],
 [1889, 329, -814, 1055, 249, 1585, 1148, -156, -107, -612, -1205, 845],
 [505, 522, -569, 1967, 922, 1081, -281, -359, 18, 1445, 637, 435],
 [-1562, -267, 1420, -1186, -1134, -1167, -413, 720, -900, -512, -355, 20],
 [408, -584, 64, -1349, -323, -1278, -643, -386, -1198, -853, -511, 1357],
 [891, 310, 522, -863, 206, 904, -67, -385, -85, -1459, -1150, 73],
 [332, 1133, -704, 929, 994, 1429, 747, 564, -523, 1835, 155, -216]]

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[User]
Find the rank of the matrix:
[[-350, 75, 525, -50, 525, -275, -525, 300, 475, -50, 625, 400],
 [-112, 24, 168, -16, 168, -88, -168, 96, 152, -16, 200, 128],
 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
 [-70, 15, 105, -10, 105, -55, -105, 60, 95, -10, 125, 80],
 [-238, 51, 357, -34, 357, -187, -357, 204, 323, -34, 425, 272],
 [238, -51, -357, 34, -357, 187, 357, -204, -323, 34, -425, -272],
 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
 [-210, 45, 315, -30, 315, -165, -315, 180, 285, -30, 375, 240],
 [-168, 36, 252, -24, 252, -132, -252, 144, 228, -24, 300, 192],
 [322, -69, -483, 46, -483, 253, 483, -276, -437, 46, -575, -368],
 [-364, 78, 546, -52, 546, -286, -546, 312, 494, -52, 650, 416],
 [154, -33, -231, 22, -231, 121, 231, -132, -209, 22, -275, -176]]

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[User]
Determine the rank of the following matrix:
[[-3, 526, -330, -296, 285, 79, 793, -541, -622, -318, -730, -628],
 [72, -375, -137, -1109, 279, -276, -447, 291, 639, 460, 226, 204],
 [-281, -442, 578, 588, -328, -604, -890, 421, 200, -94, 671, 881],
 [428, -340, 111, 840, -816, -206, -566, 484, 603, 236, 475, 326],
 [200, 41, 412, 1317, -1024, -1589, -546, 110, -284, -810, 24, 631],
 [-595, -389, 585, -978, -445, -1387, -6, -99, 49, -143, 183, 292],
 [-16, 51, 655, 62, 278, -794, -453, 42, -133, -955, 237, 876],
 [641, 219, -64, 1165, -404, 107, -138, 140, 52, -332, -17, 92],
 [243, -520, 233, 786, -1296, -480, -432, 467, 671, 426, 554, 205],
 [-109, 290, -664, -155, 771, 320, -100, -130, -458, 203, -496, -253],
 [-1174, -1022, 826, -292, -37, 361, -763, 527, 522, 886, 1259, 739],
 [-760, 134, -73, 95, -104, -165, 447, -411, -803, 93, -385, -421]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-48, 234, -72, -42, 282, 446, -66, 220, -278, 598, -64, 124],
 [257, -663, -300, -61, -587, -257, -576, -397, 407, -25, 215, -504],
 [646, -441, -1008, 345, -425, 295, -427, -644, 247, 813, -34, -218],
 [555, -807, -768, 131, -739, -103, -700, -687, 495, 347, 169, -548],
 [-527, 240, 858, -320, 236, -365, 276, 479, -112, -802, 81, 82],
 [-354, 384, 462, -188, 400, 129, 199, 460, -302, -46, -32, 204],
 [-576, 768, 816, -160, 704, 40, 680, 688, -464, -432, -144, 512],
 [124, -510, -246, -238, -342, 149, -791, -94, 140, 540, 230, -492],
 [-313, -108, 450, -396, 8, -77, -326, 333, -48, -110, 195, -234],
 [-8, -57, -6, -59, -25, 42, -126, 24, -3, 99, 38, -70],
 [-586, 303, 966, -323, 279, -436, 386, 522, -123, -961, 68, 134],
 [-399, 213, 498, -365, 313, 180, -131, 529, -287, 125, 85, 0]]

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[User]
Find the rank of the matrix:
[[73, -1046, 53, -359, 381, -416, 41, -101, -586, 280, -718, 299],
 [331, 31, -391, 286, -749, 45, 26, 123, -333, -328, 456, 360],
 [322, -301, -271, -88, -286, -266, -339, -15, -519, -7, 418, 125],
 [126, -403, -54, 53, -240, -2, 350, 83, -311, -59, -396, 377],
 [21, 148, -108, 298, -379, 227, 349, 114, 82, -261, -74, 271],
 [-243, 750, 318, 48, 139, 350, 120, 53, 616, 64, 88, -467],
 [-179, -546, -790, 894, -359, 49, 529, -46, 88, -957, -522, 1361],
 [262, -376, -853, 533, -652, -204, -189, -38, -402, -674, 486, 864],
 [-155, 29, -454, 101, 413, -366, -858, -302, 195, -227, 708, -18],
 [-380, 43, 380, -377, 960, -155, -331, -212, 407, 394, -226, -547],
 [370, -466, 380, -514, -182, -100, 228, 160, -694, 526, -360, -176],
 [-292, -129, 442, 81, 168, 375, 977, 142, 303, 60, -1218, 213]]

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[User]
Determine the rank of the following matrix:
[[420, -482, -178, 462, 360, -243, 670, 564, -363, 502, 1118, 258],
 [1781, -310, 346, 416, 107, 640, 822, 7, 232, 594, 749, 513],
 [-1411, 822, 559, -538, -78, 554, -198, 232, -11, -655, -507, -991],
 [-459, 322, 590, -594, -317, 303, -605, -879, 1168, -1098, -1536, -59],
 [-1244, -322, -160, -541, 374, -380, -635, 261, 182, -1649, -212, -1005],
 [848, -382, -68, 270, -15, -394, 424, 445, 156, 247, 686, 479],
 [-533, -4, 236, -245, 83, 416, 54, -192, 7, -347, -34, -922],
 [-284, 1129, 1542, 532, -234, 273, 1302, 320, 600, 361, -663, 65],
 [188, -1248, -206, -408, -115, -56, -234, -787, 843, -211, 767, 600],
 [-1192, -438, -865, -450, 51, -842, -790, -279, 140, -223, -464, 518],
 [-350, -197, -440, -469, -218, -286, -472, -95, 190, -80, -117, 115],
 [-567, 766, 190, -152, 77, 1085, 237, -315, -712, 522, -596, -1427]]

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[User]
Determine the rank of the following matrix:
[[336, 74, -27, 83, -50, -1616, -548, -394, -5, -640, -636, 255],
 [818, 128, 40, -771, -168, 53, 113, 116, 598, -433, 856, -592],
 [-15, 589, 786, -316, -203, 562, -224, -1288, 240, 1007, -1417, 760],
 [891, 710, -142, -676, 374, -1361, -67, 223, 165, 433, -941, 811],
 [-853, -69, 338, -319, 430, -136, 17, -96, -672, -1314, 1225, 179],
 [-107, 909, -184, -124, 1716, -1120, -517, 548, -676, 429, 759, 246],
 [879, -261, -135, 99, 1014, -104, -988, -54, -830, 627, 481, -853],
 [-23, -269, 822, -384, 758, -368, -1076, -446, -1866, -473, 453, 527],
 [-129, -1269, -202, 348, -190, -390, -231, 1212, -965, -549, 532, -72],
 [-363, 569, -473, -126, -226, -48, 649, -394, 1250, 282, -701, -85],
 [-769, 142, -459, -708, 821, 560, 810, 1229, -677, -114, 1372, 145],
 [548, 545, -1616, -551, 241, -705, 751, 644, 1188, 710, -465, -805]]

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[User]
Calculate the rank of matrix A where A =
[[-190, 66, 713, 31, 154, -433, 536, 44, 210, 934, 229, -612],
 [-217, -77, 20, 12, -243, 581, -303, 390, 685, 260, 121, -9],
 [-372, 155, -497, -163, 637, 232, 315, -544, -961, 634, 787, 853],
 [838, -268, -230, -741, 615, -233, 234, 75, -355, -494, -142, 600],
 [-634, 157, -312, 586, -663, 669, -641, 6, 319, -140, 20, -47],
 [-186, 51, 246, -368, 775, -183, 749, -214, -439, 1232, 762, 251],
 [628, -102, -540, -127, -39, -189, -304, -153, -481, -1354, -590, 394],
 [-71, 12, -370, -26, 48, 290, -164, -102, -214, -144, 123, 408],
 [-1047, 249, -544, 755, -756, 1106, -823, -69, 306, 118, 317, 173],
 [141, -135, -524, -147, -130, 604, -499, 205, 184, -558, -95, 533],
 [183, -227, -528, -721, 620, 738, -11, 211, -50, 310, 555, 1089],
 [131, -272, -188, -546, 214, 802, -200, 560, 648, 320, 315, 568]]

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[User]
Compute the rank of the given 12x12 matrix:
[[480, 498, 344, 568, 800, -372, -342, 944, 98, 372, -420, 72],
 [225, -118, 452, 396, 672, -599, 164, 884, -603, 424, -201, -35],
 [78, -245, -1136, 144, -420, 566, -173, -692, 519, -520, -582, -292],
 [-206, 488, 1036, -420, 60, -224, 4, 228, -80, 322, 804, 396],
 [426, 125, 288, 608, 820, -518, -91, 996, -287, 400, -474, -44],
 [-270, 200, -106, -474, -582, 451, -112, -718, 465, -281, 411, 133],
 [226, 318, 932, 276, 780, -660, 2, 1060, -434, 582, 96, 188],
 [402, 400, 4, 468, 516, -124, -356, 556, 276, 158, -456, 8],
 [-137, -657, -566, -14, -298, 108, 317, -390, -303, -237, -198, -268],
 [184, 19, -944, 224, -236, 500, -321, -468, 641, -412, -588, -206],
 [195, 464, -250, 126, 6, 286, -430, -94, 654, -131, -228, 52],
 [59, -249, 36, 172, 212, -237, 169, 280, -362, 120, -147, -95]]

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[User]
Calculate the rank of matrix A where A =
[[-60, 400, -280, 180, -220, 340, -340, -140, -120, -100, -80, -20],
 [12, -80, 56, -36, 44, -68, 68, 28, 24, 20, 16, 4],
 [51, -340, 238, -153, 187, -289, 289, 119, 102, 85, 68, 17],
 [9, -60, 42, -27, 33, -51, 51, 21, 18, 15, 12, 3],
 [-39, 260, -182, 117, -143, 221, -221, -91, -78, -65, -52, -13],
 [21, -140, 98, -63, 77, -119, 119, 49, 42, 35, 28, 7],
 [75, -500, 350, -225, 275, -425, 425, 175, 150, 125, 100, 25],
 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
 [-12, 80, -56, 36, -44, 68, -68, -28, -24, -20, -16, -4],
 [-72, 480, -336, 216, -264, 408, -408, -168, -144, -120, -96, -24],
 [-66, 440, -308, 198, -242, 374, -374, -154, -132, -110, -88, -22],
 [45, -300, 210, -135, 165, -255, 255, 105, 90, 75, 60, 15]]

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[User]
Determine the rank of the following matrix:
[[724, 272, -978, 298, -308, 124, -265, 370, 442, 391, -981, 189],
 [-88, 268, -24, 104, 240, 184, -184, -180, 60, -276, 116, 396],
 [-345, 333, 294, 105, 511, 287, -212, -392, -71, -584, 554, 594],
 [-566, 434, 126, -152, 306, 50, -215, -522, 144, -471, 121, 471],
 [40, -1188, 598, -490, -736, -720, 839, 546, -490, 855, 115, -1595],
 [54, -465, -96, -372, -632, -526, 361, 289, 37, 646, -556, -876],
 [27, 206, 212, 329, 501, 423, -194, -133, -162, -469, 619, 569],
 [-725, -100, 360, -575, -175, -465, 210, -355, 20, 5, -55, -405],
 [527, -104, 264, 629, 501, 595, -82, 261, -408, -303, 893, 423],
 [682, -349, -84, 364, -84, 182, 115, 525, -219, 288, 142, -198],
 [-12, -484, 446, -94, -92, -148, 323, 174, -338, 159, 411, -499],
 [-94, -460, 748, 42, 222, 58, 286, 70, -528, -140, 940, -260]]

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[User]
Calculate the rank of matrix A where A =
[[56, 501, -503, -695, 184, 222, 204, -56, 84, -438, 40, -29],
 [565, 343, 618, 27, 51, -617, -513, 378, 289, -966, -653, -663],
 [-715, -117, -228, -253, -87, 307, 1257, 378, -635, 1002, 1109, 213],
 [812, -213, 1549, 842, -92, -363, -1567, -177, 149, -999, -1463, -702],
 [-1615, -494, -1635, 270, 82, -202, 890, 563, 480, 385, 1617, 1017],
 [592, 1158, 846, -756, 952, -356, -188, 796, -676, -226, 880, -890],
 [357, -199, 883, 366, -816, 544, 1410, -476, 373, -239, -342, -613],
 [-679, -636, 577, 677, 174, -153, -317, 146, -39, -26, -494, -224],
 [397, 318, -259, -120, -673, 592, 632, -335, 515, -851, 665, 191],
 [508, 472, 671, 29, 801, -745, -227, 258, 834, -551, -29, -1044],
 [473, 1043, -888, -1561, 747, -524, -504, 421, 338, -384, 118, -302],
 [-1191, -603, -1171, -641, 56, -1043, 799, 1161, 421, 1565, 1044, 206]]

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[User]
Find the rank of the matrix:
[[-494, 30, 444, -135, 431, 127, -89, -251, 520, 185, 408, -246],
 [-741, 181, 666, -296, 536, -22, -125, -419, 508, 541, 544, -505],
 [38, -18, 312, 38, -18, -454, 340, -358, -374, 602, -312, -350],
 [95, -47, 258, 71, -47, -425, 346, -318, -380, 526, -344, -293],
 [342, 118, -576, -15, -413, 59, -189, 427, -354, -361, -128, 330],
 [722, -194, -660, 300, -508, 64, 110, 426, -448, -582, -512, 522],
 [-684, 344, 612, -395, 351, -293, -107, -439, 118, 837, 416, -640],
 [228, -352, 252, 317, 79, -149, 461, -283, -46, 113, -400, -56],
 [19, -357, 480, 274, 276, -122, 461, -428, 167, 232, -252, -187],
 [-190, -78, 528, 27, 241, -295, 305, -463, 2, 565, -96, -402],
 [19, -243, -150, 165, 179, 553, -140, 232, 604, -724, 216, 399],
 [-57, -285, 180, 189, 285, 291, 96, -81, 501, -297, 84, 117]]

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[User]
Find the rank of the matrix:
[[1237, -485, 1143, -351, 95, -742, 1163, -97, -1533, -105, 116, 69],
 [-323, 833, 403, -479, 454, -1045, -278, -166, 389, 153, -429, 1654],
 [270, 443, 214, -758, -1121, -731, 482, 1201, -740, -438, 491, -581],
 [-675, -858, -285, 14, 1343, 538, 95, -407, 573, 125, 472, 1864],
 [-306, 1200, -292, -551, -1141, -650, -1056, 1686, -443, -1062, 173, -423],
 [-120, -531, 954, -346, 496, 293, -853, 654, 410, 784, 45, -1238],
 [584, 542, -935, -142, -773, 66, 112, -974, -323, -301, -515, -486],
 [1707, 349, -793, -168, -674, -44, -129, 65, -1639, -1233, 346, 255],
 [1320, 6, 691, -778, -272, -591, 809, 965, -1648, -831, 866, 384],
 [-425, -1511, 1627, 164, 897, 730, -100, 802, 178, 671, 181, -1557],
 [865, 225, 567, 606, -437, -642, -667, 415, -702, 131, -336, -988],
 [828, -286, -838, -309, -457, 479, 534, -1287, 863, 313, -432, -75]]

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[User]
Find the rank of the matrix:
[[-469, -61, -279, 169, -160, -584, -820, 521, 775, 272, -567, -20],
 [18, 37, 637, -780, -257, -159, 248, 287, 345, -82, -245, 85],
 [94, -45, -247, 344, 177, 209, 62, -259, -343, -16, 269, -71],
 [280, -276, -157, 326, 360, 473, 395, -514, -703, -97, 668, -281],
 [108, 346, -355, 446, 58, 219, 23, -272, -373, -49, 78, 249],
 [226, -344, -224, 394, 382, 422, 292, -480, -644, -56, 656, -338],
 [198, -328, 1158, -1318, -190, -12, 730, 228, 230, -194, 64, -200],
 [-187, 462, 472, -695, -507, -449, -152, 562, 730, -2, -770, 455],
 [-204, 258, -444, 444, -66, -192, -486, 114, 192, 126, -306, 204],
 [-49, -516, 13, 13, 189, -20, -41, -2, 25, 73, 256, -430],
 [-183, 671, -310, 249, -286, -243, -431, 211, 294, 61, -595, 563],
 [-163, -110, 464, -623, -239, -353, -84, 438, 586, 42, -358, -33]]

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[User]
Determine the rank of the following matrix:
[[-159, 144, -211, -1092, 10, 591, 27, 30, 13, -574, 14, 905],
 [-681, 619, 64, -453, 221, 235, 138, 589, 355, -345, 117, 374],
 [484, 835, 740, 514, 595, 264, 1083, 945, 371, 845, -1049, -1461],
 [38, -588, 41, 379, -456, 341, 161, -423, 231, 334, -389, -46],
 [396, -84, 826, 52, 110, 759, 215, 637, 734, 504, -281, -14],
 [-134, 276, 973, 1091, 697, -213, 69, 434, 1052, 1372, -489, -1045],
 [-331, -79, 77, 1008, 115, -918, -481, -136, 72, 405, 426, -534],
 [-410, 217, -133, -617, -476, 642, 285, 664, -1, -923, 349, 770],
 [-165, 605, 412, -196, 806, -7, 28, 331, 528, 486, -304, -219],
 [347, -116, 599, 1407, 396, -1080, -612, 228, 131, 853, 534, -1017],
 [-105, 262, 194, -12, 427, 16, 108, -13, 333, 435, -398, -250],
 [566, 467, 45, -479, -187, 796, 1091, 725, -318, -375, -633, -337]]

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[User]
Calculate the rank of matrix A where A =
[[-1537, -1470, -741, 246, -70, 90, 166, 853, -1009, 644, 846, -350],
 [-806, 984, 1475, 339, -374, -1403, 323, 357, 119, 1911, -2, 436],
 [630, 1032, 469, -534, 752, -1311, -1064, 765, -210, 1640, -129, -454],
 [-254, -289, 101, 409, 918, 825, 147, -1416, -452, -1756, 336, 785],
 [370, 1637, 274, 162, -161, 1049, -1451, -1074, -177, 458, -280, -1341],
 [731, 10, -441, -616, 402, 1193, -581, -469, 743, -1475, 422, -378],
 [-234, -554, -187, 1084, -326, 626, 491, -554, -1783, -89, -1023, -70],
 [426, -279, -135, -533, 238, -591, -95, 977, 759, 470, 74, -133],
 [-309, -808, -769, 410, -815, 418, 1199, -118, -253, -421, -619, 209],
 [-842, -720, -792, 1141, 1261, -817, -208, 555, -663, 1186, -349, -522],
 [1127, 3, -1377, -1074, -96, 1086, -458, 209, -451, -773, -222, -1053],
 [-108, 1059, 1613, 233, -467, 266, -543, -1107, -98, 114, 217, 392]]

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[User]
Determine the rank of the following matrix:
[[72, 15, 9, -33, 51, -24, 21, -42, -51, 45, -63, -48],
 [24, 5, 3, -11, 17, -8, 7, -14, -17, 15, -21, -16],
 [528, 110, 66, -242, 374, -176, 154, -308, -374, 330, -462, -352],
 [336, 70, 42, -154, 238, -112, 98, -196, -238, 210, -294, -224],
 [-240, -50, -30, 110, -170, 80, -70, 140, 170, -150, 210, 160],
 [120, 25, 15, -55, 85, -40, 35, -70, -85, 75, -105, -80],
 [-168, -35, -21, 77, -119, 56, -49, 98, 119, -105, 147, 112],
 [-288, -60, -36, 132, -204, 96, -84, 168, 204, -180, 252, 192],
 [576, 120, 72, -264, 408, -192, 168, -336, -408, 360, -504, -384],
 [-120, -25, -15, 55, -85, 40, -35, 70, 85, -75, 105, 80],
 [72, 15, 9, -33, 51, -24, 21, -42, -51, 45, -63, -48],
 [432, 90, 54, -198, 306, -144, 126, -252, -306, 270, -378, -288]]

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[User]
Find the rank of the matrix:
[[-334, 632, 167, 262, 110, 216, -364, -323, 548, -369, 212, 882],
 [-450, 654, -271, -134, -228, 222, -462, 119, 672, -751, 198, 626],
 [1134, 53, -321, -454, 315, -1116, -399, -789, -338, 238, -13, 293],
 [-230, 155, -233, 48, -1268, -576, -674, 1327, -685, -521, -55, 567],
 [-216, 43, 67, -285, 573, 627, 174, -35, 29, 699, -482, -763],
 [-342, 473, -219, -236, 197, 431, -161, -195, 740, -405, 93, 160],
 [-166, -350, -142, -225, -322, 147, 167, 784, -459, 259, -335, -778],
 [58, -470, 719, 822, 117, 8, 485, -259, -371, 398, 164, 146],
 [848, -559, 150, -178, 325, -643, 129, -120, -1142, 1204, -531, -692],
 [190, -753, 207, 242, -530, -366, 298, 779, -1089, 499, -237, -553],
 [-430, -251, 219, 466, -881, -31, -9, 1059, -580, -175, -1, 132],
 [-476, 152, -9, -311, 127, 624, -74, 603, -208, 594, -619, -697]]

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[User]
What is the rank of the matrix:
[[668, -284, -502, -40, -181, 429, 382, 741, -182, 95, -312, -102],
 [139, 131, 283, -122, -431, -45, -175, -48, 122, 259, -129, -384],
 [-274, 582, 474, -160, -123, -185, -288, -505, 334, -131, -84, -72],
 [508, -108, 32, -124, -579, 159, 6, 365, -10, 401, -258, -504],
 [-168, 656, 373, -198, -101, -77, -196, -400, 354, -229, -195, -15],
 [-643, -3, 359, 138, 252, -424, -315, -609, 28, -2, 429, 126],
 [-171, -187, 237, 70, -134, -226, -211, -189, -48, 284, 219, -204],
 [-26, -162, -166, 80, 177, 27, 96, 83, -106, -55, 84, 144],
 [-463, 489, 563, -90, -51, -325, -381, -660, 298, -77, 87, -54],
 [-342, -670, -176, 324, 397, -221, 8, -43, -354, 149, 534, 210],
 [351, -329, 54, -16, -493, 31, -53, 285, -114, 505, -48, -489],
 [-190, 554, 202, -136, 91, -31, -88, -323, 274, -333, -144, 156]]?

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[User]
Find the rank of the matrix:
[[-77, 552, -83, -334, -368, 194, -106, -701, 296, -575, -1837, 1635],
 [-200, -128, 199, -76, 1139, 73, -596, -936, 815, 1303, 877, -120],
 [611, 1167, 567, -1193, 1579, 86, 469, -423, 282, 317, -182, -332],
 [284, 1764, 139, -675, 623, 570, -349, -449, -152, 216, 1130, -1112],
 [-736, 190, -581, 83, -679, -953, -266, -311, -918, -551, -616, 750],
 [-798, -213, -1544, -186, 2163, 469, 1437, 1095, 1708, 897, 616, -457],
 [786, -138, 896, -514, 759, -343, 36, 494, -197, 155, 784, -1085],
 [-1403, -176, -1457, 325, -180, -145, 696, 302, -168, 202, -600, 451],
 [1168, -694, 1233, 302, -156, -354, 397, 54, -553, -114, 386, -650],
 [595, 583, -165, 171, -579, -512, 902, -359, -649, -1439, -686, 776],
 [718, -231, 1087, 374, -105, 911, -624, -329, 288, 890, 1122, -1051],
 [827, 1361, 484, 465, -224, 980, -53, -717, -52, -1, 719, -770]]

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[User]
What is the rank of the matrix:
[[8, 119, 56, 150, -102, -120, 53, 195, -274, -43, 110, 74],
 [430, -864, 298, -808, -228, 104, -174, 170, 132, 542, 206, -260],
 [-35, -360, -185, -460, 330, 380, -165, -625, 870, 125, -355, -230],
 [-230, 241, -242, 162, 282, 144, 1, -405, 382, -203, -284, 10],
 [-287, 646, -173, 624, 102, -132, 145, -15, -230, -389, -83, 214],
 [242, -705, 86, -722, 30, 256, -189, -215, 522, 391, -56, -274],
 [-91, 92, -97, 60, 114, 60, -1, -165, 158, -79, -115, 2],
 [-30, -382, -186, -484, 336, 392, -172, -640, 896, 136, -362, -240],
 [370, -857, 214, -834, -114, 192, -197, -15, 346, 511, 88, -290],
 [-93, 255, -39, 258, 0, -84, 66, 60, -168, -144, 9, 96],
 [-255, 351, -237, 282, 252, 84, 36, -330, 252, -258, -249, 60],
 [14, 401, 170, 498, -318, -384, 173, 615, -874, -151, 344, 242]]?

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[User]
Calculate the rank of matrix A where A =
[[0, 297, 936, 984, -269, 599, -256, -386, 698, 218, 317, 155],
 [350, 42, -78, 151, -639, -455, -266, 56, 502, -298, -654, 309],
 [-866, -617, -171, -462, 1019, 1114, -627, -197, 516, -46, 775, 430],
 [-359, -835, -1052, -608, -291, -772, -141, 409, -29, -13, -420, -269],
 [118, 160, 333, 525, -487, -34, -151, -96, 1039, -608, -944, 690],
 [242, -297, -228, -279, 23, -1119, 1013, 216, -458, -651, -1427, -242],
 [113, -99, -612, -902, 146, -702, 311, 160, -1032, 271, 342, -419],
 [332, -23, 639, 377, -1, -220, 438, -180, 331, -613, -881, 205],
 [828, -586, 10, -477, 766, 0, -52, 139, 103, -1297, -1217, 345],
 [-76, -528, 831, 664, 588, 661, 99, -236, 1345, -1302, -1436, 749],
 [867, 749, 475, 263, 175, -698, 1126, -97, -990, -251, -916, -347],
 [239, -20, 82, 142, 747, 1263, -716, 83, 13, -19, 566, -14]]

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[User]
Compute the rank of the given 12x12 matrix:
[[584, -645, 683, 1067, 783, -40, -6, 1019, 100, -1418, -650, 390],
 [-1128, -236, 356, -411, -1029, -288, -121, 90, 556, -1156, -963, 1268],
 [1167, -497, 1147, -50, 695, 41, 649, -33, 649, -213, -610, -343],
 [-1290, -27, -1260, 412, -313, 131, -1046, 708, 204, -369, 134, 1163],
 [1405, 154, 304, -1482, 634, 762, 190, 246, -91, 1367, -406, -1313],
 [-882, 123, 3, -1514, -901, 113, 115, -775, 964, 871, -101, 360],
 [-886, 712, 407, 1049, -396, 133, -56, 389, -1055, 261, 336, -279],
 [-132, 55, -1055, -1219, -2, 187, -614, 49, 141, 1071, -687, 381],
 [-81, 664, -377, -194, 259, 1256, -1070, 1464, -357, 872, -448, -364],
 [-836, 560, 427, -216, -469, 136, -656, -914, 1120, -129, -481, 1100],
 [931, 358, 481, -469, 766, 566, -459, -448, 744, 331, -243, -167],
 [440, -897, -310, -476, 381, -352, 761, 667, -549, 449, -112, -440]]

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[User]
What is the rank of the matrix:
[[-228, 435, -249, 324, 318, -531, -114, 261, -147, 165, 441, -102],
 [-352, -290, -476, -498, 88, 96, -2, 174, 2, -716, 168, 566],
 [-472, -365, -636, -643, 128, 106, -7, 239, -3, -936, 238, 741],
 [-180, 45, -225, -54, 126, -135, -36, 135, -45, -171, 189, 144],
 [256, -190, 308, -54, -232, 312, 74, -222, 94, 116, -336, -110],
 [-344, 380, -402, 202, 364, -538, -122, 328, -156, -30, 518, 54],
 [-268, -80, -349, -233, 126, -61, -27, 166, -32, -403, 203, 325],
 [288, 75, 374, 239, -140, 76, 31, -181, 37, 422, -224, -341],
 [144, -330, 152, -262, -224, 388, 82, -178, 106, -160, -308, 106],
 [-208, 10, -264, -106, 128, -116, -34, 146, -42, -240, 196, 198],
 [-68, 290, -59, 263, 162, -311, -63, 116, -82, 211, 217, -151],
 [-16, -290, -48, -310, -112, 268, 50, -58, 66, -312, -140, 234]]?

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[User]
Determine the rank of the following matrix:
[[-99, -379, -929, 1477, -410, -785, -546, 195, 177, -264, 569, -1361],
 [-636, 379, -405, -173, -217, 567, 337, -622, -708, -800, 151, 975],
 [-292, 732, -1590, 1334, 342, -353, -940, 271, 202, -628, -564, -980],
 [488, 278, -203, 113, -406, 991, 299, -346, 93, 7, 1336, 48],
 [-765, -173, -588, 844, 1118, 200, -632, 322, 417, -572, -201, -692],
 [555, 1259, -643, -1002, -985, 233, 587, -531, -784, -280, 574, 1192],
 [1378, 934, -565, -1488, 111, 235, -250, 192, 313, 377, -99, 234],
 [425, 261, -1419, 203, -620, -645, 429, -798, -385, -440, 1685, 532],
 [440, -870, -71, 501, 532, -531, -486, -57, 725, 525, -380, -657],
 [-520, -621, -1137, 1417, 1247, 24, -261, -189, 536, -793, 1141, -242],
 [-50, 284, 541, -1239, -46, -565, 244, 191, -569, -39, -1376, 1184],
 [490, 160, -37, -487, 732, 57, -223, 344, 273, -66, -896, 669]]

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[User]
Find the rank of the matrix:
[[-306, -621, -606, -354, -150, -383, 349, -436, -1380, 532, 894, 936],
 [574, -143, -257, -121, 176, 736, 135, -12, -1758, 118, -40, 945],
 [-1365, -508, -269, -1594, -764, -737, 601, 79, 506, -193, 84, -4],
 [-197, 944, -464, 316, 580, -782, -156, 632, -672, 174, 603, 510],
 [601, 650, -171, 316, -306, 452, 370, -301, -35, 198, -238, 107],
 [418, -137, 58, -84, -68, 546, 581, -345, -385, -553, -126, 22],
 [912, 554, -100, 914, 177, 606, 665, -249, 235, 684, -150, -879],
 [-985, 1394, 50, 529, -575, -296, 755, -228, -1263, -786, -482, 1625],
 [-1663, 338, 231, 194, -682, -133, 1616, -547, -628, -139, -959, 607],
 [468, 958, -296, 954, 293, 98, 436, -95, -1931, 542, 145, 668],
 [-1098, 262, -841, -607, -1490, -89, -132, 556, -694, 1718, 695, 1010],
 [-409, 1431, -821, 121, -1492, 117, 1348, -503, -1303, 742, 164, 1317]]

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[User]
Compute the rank of the given 12x12 matrix:
[[595, -678, 209, -1064, 744, -1576, 449, -792, -709, -235, 691, -227],
 [-748, -967, -558, 472, 155, 879, -327, 841, 752, 517, -27, -43],
 [136, -874, 721, -789, -550, -106, -965, -783, -579, 348, 1624, 145],
 [694, -102, -860, -414, -181, -259, -1466, 103, -5, -1208, 236, -819],
 [-92, 134, -1099, -134, 898, 1533, -2499, -2, 713, -607, -1134, 196],
 [-347, -635, -803, -280, 530, -656, 1953, -170, -67, 736, 101, -1193],
 [305, 219, 1290, 445, 19, -497, 1667, 933, 95, 2000, 423, 959],
 [-179, -342, 376, 944, 924, 1474, -1544, 887, 1249, 411, -1028, 1955],
 [1133, 872, 472, -1104, -2154, 248, -678, 821, -84, -899, -152, 409],
 [662, -2296, 391, -426, -252, -1304, 105, -221, -243, -607, 1480, 917],
 [-330, -301, 60, 591, 86, -119, -799, -162, 384, -1510, -559, 695],
 [-23, 305, 770, 810, 642, -712, 1745, -52, 44, 923, -283, 914]]

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[User]
What is the rank of the matrix:
[[-625, 400, 389, 324, 489, -298, 393, 411, -481, 628, -459, 272],
 [848, -3, 45, 481, 509, 276, -534, 190, -254, 212, 462, -1051],
 [323, 479, 245, -440, 490, 6, -621, 368, -850, 172, -644, -311],
 [893, 151, 128, 109, 538, 69, -700, 202, -12, -92, 235, -982],
 [-789, -632, -159, 627, -398, -942, 1442, 43, 1567, -221, 667, 764],
 [186, -656, -659, -526, -1123, 536, -81, -785, 473, -717, 435, 358],
 [172, 1071, 657, -309, 797, 421, -1063, -9, -687, 166, -776, -524],
 [-568, -105, 73, 38, -178, -701, 692, -39, 1183, -395, 106, 586],
 [495, -341, -487, -576, -462, 543, -432, -33, -1121, 60, -172, -42],
 [1031, -363, -422, -107, -26, 600, -663, 203, -1233, 280, 195, -773],
 [452, 640, 366, -181, 787, 238, -815, 468, -1308, 513, -652, -638],
 [311, -524, -316, 404, -42, -65, 305, 335, -369, 341, 426, -241]]?

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[User]
Find the rank of the matrix:
[[-121, -341, -86, -1261, -384, 806, 1314, -516, 1573, -992, -978, 732],
 [34, 97, -495, 1012, -106, 582, -191, -425, 387, 1559, 431, -1391],
 [-502, -49, -1017, -580, -220, 43, -406, 400, -1280, -814, 1260, 1203],
 [660, 398, 957, 135, 1026, -439, -86, 434, 75, 336, -1344, -611],
 [1433, -1101, -1809, -129, -132, 990, 78, -105, -157, 987, -381, -1583],
 [-242, -10, 753, -996, -215, -456, 1171, -809, 357, 83, -742, -292],
 [243, -431, -840, 610, -155, -40, -1366, -458, -954, 972, 1440, 568],
 [-38, 250, 10, 1031, -1023, -753, -1031, -482, 484, 1154, 119, -586],
 [-171, 1733, 710, -649, 282, -368, 870, -165, 59, 1047, -824, 7],
 [-423, 351, -572, -427, -1391, -68, 1095, -2020, 1038, 1212, -385, 287],
 [770, 566, -196, -1053, 584, -521, -283, 146, -601, 39, -613, 231],
 [31, 51, 1291, 114, 1175, -389, 394, 68, -707, -241, -488, 1009]]

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[User]
What is the rank of the matrix:
[[-52, -14, 16, -34, -4, 40, 2, 16, 12, 36, -24, -12],
 [390, 105, -120, 255, 30, -300, -15, -120, -90, -270, 180, 90],
 [598, 161, -184, 391, 46, -460, -23, -184, -138, -414, 276, 138],
 [-416, -112, 128, -272, -32, 320, 16, 128, 96, 288, -192, -96],
 [-182, -49, 56, -119, -14, 140, 7, 56, 42, 126, -84, -42],
 [546, 147, -168, 357, 42, -420, -21, -168, -126, -378, 252, 126],
 [-572, -154, 176, -374, -44, 440, 22, 176, 132, 396, -264, -132],
 [-624, -168, 192, -408, -48, 480, 24, 192, 144, 432, -288, -144],
 [468, 126, -144, 306, 36, -360, -18, -144, -108, -324, 216, 108],
 [572, 154, -176, 374, 44, -440, -22, -176, -132, -396, 264, 132],
 [-494, -133, 152, -323, -38, 380, 19, 152, 114, 342, -228, -114],
 [286, 77, -88, 187, 22, -220, -11, -88, -66, -198, 132, 66]]?

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[User]
What is the rank of the matrix:
[[495, 530, 159, -374, -38, -912, 216, 143, 1788, 199, 737, 1216],
 [454, 624, -694, -956, 494, -420, 1428, -195, 475, -117, -321, 510],
 [494, -1124, 559, 386, -169, 189, -1114, 801, -388, 746, 328, -197],
 [-1421, 182, -17, 691, -1504, -550, -405, -123, 411, -437, 252, 176],
 [-1290, -653, -894, 256, -1124, -85, -307, -285, -447, -31, -270, -905],
 [765, 87, -68, -449, 999, 754, 502, -330, -667, 53, -193, -294],
 [-469, 125, -770, -365, -127, -764, 446, -329, 770, -188, -90, 14],
 [-436, -605, -893, -220, 253, -636, 102, 421, -290, 33, -1136, -855],
 [-171, -207, -725, -428, -502, -835, 354, 317, 709, 291, -153, 229],
 [129, 1152, 171, -312, 442, -200, 1098, -576, 423, -738, 172, 812],
 [720, 17, -54, -416, 802, 527, 575, 79, -773, 93, -458, -183],
 [-307, 451, 83, 164, 372, -387, -153, -141, 577, -386, -196, -18]]?

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[User]
Find the rank of the matrix:
[[674, 42, -50, 135, 196, 345, 4, -682, 1185, -625, -737, 696],
 [1853, -554, 974, -410, 425, -761, 1495, -246, -730, -1066, 67, 744],
 [-1004, -1175, -184, 336, 81, 1337, -632, -1584, -69, 347, -17, -1218],
 [997, 1626, 593, -401, -520, -1310, 1698, 829, -761, -81, 354, 1044],
 [514, 790, 377, -1609, 878, 743, 275, -314, 228, -140, 24, -83],
 [1151, 370, -28, 625, 174, -271, 788, 526, -724, -494, 667, 771],
 [306, 268, -230, 1, -33, 270, 351, 455, 3, 446, 970, -310],
 [-1244, -1142, -635, -222, 118, 556, -22, -1166, 310, -567, -443, -109],
 [417, 1124, -486, -547, -46, -1117, 1294, 574, -59, -335, 898, 670],
 [-417, 12, -479, -1439, 536, -694, 712, -178, 362, -632, 499, 366],
 [1294, 968, 1767, 856, -590, -37, -187, 76, -591, 103, 47, 345],
 [596, 1647, -58, -1624, 714, -241, -131, 1554, 1031, -131, 195, 821]]

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[User]
What is the rank of the matrix:
[[-378, -1257, -299, -130, -1521, -792, 620, -208, -222, 582, 157, -495],
 [-476, -351, -717, -220, 90, -94, 253, 241, 576, -528, 728, -195],
 [-945, -1682, 74, 657, -329, 665, 701, 890, 521, -325, 879, -1276],
 [-445, -1024, 89, 287, 24, 504, 937, 114, -328, -501, 310, -40],
 [-1085, -782, 635, 773, -204, -1145, -430, 266, -551, 23, -364, 820],
 [-649, 58, 1137, 740, 477, -937, -691, 871, 303, 323, -474, -568],
 [-248, -635, 302, 412, -489, 151, -407, 519, 287, 422, 167, -805],
 [34, 13, -16, 234, -251, 40, 262, -664, -663, -47, -78, 606],
 [-1042, -750, -484, 874, -41, 220, -615, 203, 326, -608, 1335, -183],
 [-141, 785, 316, -489, 585, -1037, 230, 575, 522, 12, -1174, 610],
 [-1216, -1178, -436, 799, -246, -111, -357, 171, 46, -597, 1222, 17],
 [255, -1, 462, -118, -893, -653, 32, 213, 266, 1090, -685, -940]]?

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[User]
Find the rank of the matrix:
[[-543, 730, -258, 624, 11, 8, -357, -108, -572, -453, 164, -50],
 [-528, 480, -118, 429, 131, 243, -322, 132, -312, -313, 269, 25],
 [24, -144, 76, -114, 58, 114, 28, 120, 144, 82, 46, 38],
 [-87, -86, 76, -57, 108, 209, -35, 192, 124, 40, 123, 57],
 [429, 18, -140, -33, -320, -615, 217, -528, -180, 28, -413, -151],
 [393, 106, -180, 39, -340, -655, 189, -576, -260, -24, -421, -167],
 [-21, -34, 26, -24, 33, 64, -7, 60, 44, 17, 36, 18],
 [-63, 410, -218, 324, -169, -332, -77, -348, -412, -233, -136, -110],
 [438, -4, -130, -51, -315, -605, 224, -516, -160, 41, -411, -147],
 [-591, 506, -114, 456, 163, 304, -357, 180, -316, -333, 316, 38],
 [558, -468, 102, -423, -159, -297, 336, -180, 288, 309, -303, -39],
 [282, -220, 42, -201, -89, -167, 168, -108, 128, 147, -161, -25]]

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[User]
Compute the rank of the given 12x12 matrix:
[[144, 481, -866, -362, 544, 2168, -8, -10, -301, -365, 487, -136],
 [-746, -737, -573, 858, 225, -469, 1091, 667, -720, 577, 364, -1064],
 [541, 735, 620, 43, 1159, 663, 10, 46, 179, -1056, -281, 577],
 [-602, -581, -296, 123, -177, 359, -291, -158, -275, 638, 521, -169],
 [-522, -78, -551, 494, -329, -251, 73, 205, 69, 472, -87, -466],
 [308, 186, 791, 580, 661, -1251, 825, 529, 57, -638, -629, -16],
 [-366, -254, -85, -142, 359, -183, -475, -739, -41, 794, 923, 210],
 [-1, -562, 901, -395, -362, 204, -913, -425, 37, -15, 37, 761],
 [-727, 319, -740, 983, 444, 459, 107, 371, 108, 192, -101, -497],
 [-641, -285, -994, 769, -98, 611, 823, 863, -516, 186, -51, -1075],
 [-1070, -1464, -620, 119, -843, -735, 15, -256, -650, 1697, 1070, -719],
 [91, 32, 89, -1009, -208, 223, -1367, -1355, 368, 708, 893, 869]]

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[User]
Find the rank of the matrix:
[[-39, 357, -377, 331, -776, -394, 438, -324, -1043, -144, 24, -374],
 [-219, -168, 571, 239, 116, 62, -439, -106, 483, 376, -37, -54],
 [-178, 225, -13, 394, -395, -450, 225, -345, -627, 109, 55, -320],
 [232, 216, -655, -232, -175, -118, 526, 85, -619, -419, 48, 28],
 [224, -78, -296, -480, 576, 112, 186, 324, 260, -248, 58, 336],
 [471, -120, -531, -635, -128, 786, -37, 518, 245, -548, -151, 350],
 [-122, 54, 135, 242, -235, -122, -46, -175, -161, 129, -8, -168],
 [29, -399, 439, -361, 908, 406, -482, 352, 1173, 180, -16, 418],
 [64, -102, -66, -384, 1014, -212, 214, 226, 402, -26, 162, 344],
 [323, -36, -424, -407, -161, 480, 45, 321, 36, -401, -95, 202],
 [46, 135, -263, -22, -61, -198, 291, -39, -369, -133, 53, -40],
 [102, 171, -478, -270, 588, -524, 653, 62, -380, -224, 209, 148]]

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[User]
Calculate the rank of matrix A where A =
[[-310, -233, 99, 302, 431, 458, -877, 363, 176, -372, 687, 863],
 [-265, 106, 561, 281, 143, -454, -25, -126, 878, 210, 204, -259],
 [-213, 72, 519, 213, 189, -498, -3, -120, 846, 138, 90, -309],
 [-10, -34, -25, 6, 43, 63, -84, 44, -32, -59, 42, 93],
 [-124, -78, -221, 160, -45, 685, -470, 244, -444, -97, 546, 757],
 [210, -55, -179, -250, 25, -142, 209, -35, -200, -136, -423, -247],
 [49, -3, -1, -61, 17, -109, 86, -33, 26, -17, -137, -131],
 [433, 60, -259, -481, -193, -466, 755, -252, -310, 34, -926, -815],
 [-59, -42, 371, 11, 333, -586, 29, -82, 714, -98, -228, -409],
 [36, -72, 144, -84, 248, -372, 36, -32, 344, -156, -272, -280],
 [-73, 147, -11, 133, -301, 217, 82, -55, -154, 293, 265, 111],
 [-165, -199, 340, 101, 578, -322, -424, 129, 698, -364, 47, 48]]

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[User]
Compute the rank of the given 12x12 matrix:
[[747, 726, -2, 656, 349, 393, -225, 1134, 542, 487, 1644, 390],
 [-1046, -1153, -647, -1548, -947, -285, 1069, -1003, 254, -396, -968, -448],
 [-413, -124, 22, -1509, -587, -82, -54, -511, 1, -412, -1034, -282],
 [-315, -61, 141, -702, -741, -379, 187, -102, 255, -664, -385, 252],
 [-19, 440, 322, -49, -888, 117, -531, 267, 3, -537, 659, 535],
 [-541, -19, 452, 299, -549, -131, 211, 302, -463, -268, 969, -1080],
 [-1304, -411, 677, 243, 365, -1083, 58, -142, -287, -1420, -1208, -842],
 [-166, 288, 4, 488, 803, -498, -1172, 829, 1252, -260, -54, 521],
 [994, 340, -177, -931, 239, -264, 293, -101, 579, 616, -1082, 566],
 [559, -365, -774, -875, -764, 1151, 789, -943, -1197, 1226, 25, -521],
 [-839, 80, 406, -432, -768, 291, -1499, 525, 358, -1795, -200, 1383],
 [-257, -413, 204, 526, 669, -650, -389, 56, 788, 427, -220, -420]]

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[User]
Calculate the rank of matrix A where A =
[[-181, 947, -562, -678, -826, 44, -960, -1095, 1510, 628, 967, -573],
 [-653, 198, 987, 381, -674, -383, 391, -1307, 492, -1355, -487, -73],
 [13, 1911, 713, 347, 51, 1009, -1314, -545, 75, -105, -369, -391],
 [196, -360, -1151, 103, 285, -891, 481, 921, -310, 410, -551, -406],
 [-943, 135, 468, 0, 139, 877, 133, 251, -328, 1175, -295, 848],
 [72, 1461, 487, -105, 253, 498, -1308, -408, 102, 275, 494, -263],
 [305, -41, 515, -328, 953, -661, -690, 936, -739, 925, 15, -519],
 [-1410, 59, -213, 564, 180, 211, 1289, -661, -535, -476, 876, 1994],
 [200, 486, 405, -1180, -168, -536, -424, -618, 622, -39, 855, 21],
 [141, 759, 1220, -55, 504, 432, -942, -262, -377, -273, 713, 209],
 [-157, -252, -477, 394, 677, -138, 659, 137, -865, -106, 138, 610],
 [-1170, -1282, 400, 618, 689, -583, 1514, 517, -1267, 369, -785, 917]]

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[User]
Compute the rank of the given 12x12 matrix:
[[41, -335, -360, 301, 491, 548, -1496, -202, 650, -444, 209, -17],
 [1323, 750, 996, -751, -304, 159, 329, 1041, -281, -81, 221, 32],
 [147, 229, -382, 298, 601, 26, 462, 839, -304, -123, -52, -349],
 [-155, 6, -478, 199, -816, 705, 707, -329, 627, 1241, 175, 496],
 [126, 325, 500, -359, -728, -257, 441, -444, 106, -167, -666, 310],
 [80, 265, 294, -167, -215, -651, -365, -718, 321, -1176, -1431, -31],
 [66, -96, 363, 0, -1126, 275, 81, -820, -321, 644, -81, 578],
 [-539, -516, -97, 228, 632, 503, -149, 542, -634, 486, 1552, 80],
 [-1489, -108, -8, 211, -796, 14, 1388, -1007, -111, 241, -352, 926],
 [-2406, -608, -724, 1294, 444, 117, 589, -1007, -892, -863, -513, 733],
 [-943, -307, 44, 242, 1091, -977, -141, -9, -964, -1329, -309, -433],
 [-442, -341, 9, 282, -815, 29, 245, -915, -564, 677, -74, 401]]

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[User]
Calculate the rank of matrix A where A =
[[498, 546, 1111, 787, -122, 790, -826, 1024, -1182, 873, 590, -569],
 [606, -47, -11, -769, -117, -446, 81, -119, 761, -711, 375, 466],
 [343, 763, 241, 677, -355, -216, -438, 1316, -573, -191, -118, -544],
 [-16, -135, -416, -618, -409, 368, 547, -719, 482, 560, -295, 1336],
 [-692, 411, -1248, 957, -72, -171, 500, 748, -13, 214, -907, -1581],
 [659, -152, 223, 574, 288, 495, -119, -61, 121, -654, 733, -629],
 [-749, -613, -72, -115, 152, -215, 80, -543, 353, -615, -366, -150],
 [1110, 824, 1046, 1020, -857, 855, -971, 1753, -889, 446, 272, -1120],
 [-367, 53, -107, 199, -1109, 201, -181, 459, 309, -225, -1229, 282],
 [-301, 206, -1190, 233, 444, -696, 694, 36, 581, -773, -116, -348],
 [1053, 392, 169, 604, -441, 1381, 442, 37, -84, 241, 832, 878],
 [988, -429, 1615, -982, -33, 449, -303, -762, -405, 116, 1262, 1378]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-829, 183, -651, -583, -268, 316, -754, 33, 248, 268, 899, 505],
 [266, -376, 758, -585, -261, -436, -381, -381, 320, 327, -434, 50],
 [1212, 580, 423, 268, 422, 557, -485, 973, -34, 57, 630, 79],
 [162, 291, -1019, 292, -325, -184, 809, -35, -839, -433, 116, 162],
 [736, 472, -70, -675, 19, -398, -389, 427, -540, 277, 352, 142],
 [8, 223, -329, -149, -322, -579, 565, -234, -668, -103, -266, -275],
 [-609, 734, -370, 358, 1015, 872, 1487, 223, -477, -782, -1009, 584],
 [-394, -367, -266, 650, -850, 529, -27, -642, 481, -162, 310, 198],
 [-1273, -1426, -95, 209, 461, -609, 822, -44, 909, -576, -612, -288],
 [-123, -68, -1417, -152, -684, -1828, 664, 491, -1080, -254, 944, -1205],
 [-701, 222, -1264, 237, -1551, -422, -644, -553, -461, 406, 1556, -850],
 [-740, -1053, 141, -185, -68, -1434, 264, -690, 57, 204, -750, -1100]]

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[User]
What is the rank of the matrix:
[[-952, 695, 191, -64, -174, 457, 518, 1373, -102, -377, -294, 921],
 [122, 353, -354, 724, -856, 206, -93, -177, 543, -532, 1081, -578],
 [-330, -337, 1006, -369, 271, 933, 58, 1440, 122, 1296, -1348, 23],
 [352, -886, 942, -455, 412, 1224, -1124, -941, 3, 60, -1385, 92],
 [-834, -1528, 623, -394, 975, -44, -980, 736, 321, 169, -483, -268],
 [-74, 1290, -827, -355, -525, 1034, -437, -546, -1093, -1808, -440, 1318],
 [-646, -1066, 1412, -105, 1029, 455, -1323, 68, 928, -1504, 670, 133],
 [1051, -314, 769, -475, -244, 1078, -160, -391, 650, 784, -954, -1182],
 [-452, -343, -493, 389, -332, 530, -538, 86, -330, 934, -575, -290],
 [-362, -408, 1710, 420, 375, 678, -20, 1258, 765, 836, 63, -288],
 [-2209, -13, -717, -421, 1152, -470, -422, 707, -388, -1159, 355, 1408],
 [351, -785, 741, -4, 82, -69, 273, 645, 170, 1588, -932, -305]]?

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[User]
Find the rank of the matrix:
[[-159, -96, 108, -162, -72, -132, -180, 57, -159, 138, -189, 192],
 [-521, 205, 431, 124, 70, -162, -562, -128, -588, 279, 33, -75],
 [381, 168, -268, 310, 136, 284, 428, -99, 389, -310, 375, -376],
 [-318, 219, 277, 194, 98, -50, -338, -135, -371, 139, 138, -173],
 [17, -424, -76, -530, -248, -212, -4, 257, 73, 130, -525, 568],
 [-25, 551, 101, 688, 322, 274, 2, -334, -98, -167, 681, -737],
 [-70, -430, -10, -560, -260, -260, -100, 260, -20, 190, -570, 610],
 [-232, -427, 115, -598, -274, -342, -278, 257, -195, 297, -636, 669],
 [322, 334, -198, 504, 228, 340, 372, -200, 304, -326, 558, -578],
 [-65, -47, 43, -76, -34, -58, -74, 28, -64, 59, -87, 89],
 [-281, 505, 291, 564, 270, 118, -282, -308, -368, 19, 513, -575],
 [-250, 167, 217, 146, 74, -42, -266, -103, -291, 111, 102, -129]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-209, 1695, -1014, -215, 307, -965, -709, 1263, 621, -306, 143, -1197],
 [-1302, 557, -698, 837, 790, 199, -720, 442, -527, -84, 181, -1521],
 [400, 704, 122, -989, 515, -70, 716, 1884, 702, 208, 38, 1130],
 [910, 153, 52, -672, -771, 662, -9, 190, 876, 412, 363, 386],
 [1080, 904, 711, -301, -842, 1307, -1534, -1094, 1009, 1137, -10, 1436],
 [-467, 1706, 1369, -403, 32, -1094, 246, -7, -1900, 870, -1119, 994],
 [-415, -890, -229, 1161, 791, -1072, 1218, 861, -1304, -571, -786, -1780],
 [565, 820, 564, -503, 1749, 93, -190, 1102, -310, 372, -1203, 1198],
 [186, 701, -811, -11, 634, -817, 137, 658, -277, -135, -279, -718],
 [-883, 890, 641, -347, 1377, 127, 763, 1265, -161, 1034, -597, 1128],
 [-433, -858, -492, 427, -74, 322, 697, 679, -1113, -696, 841, -160],
 [-276, 1041, 446, -1062, -625, -2560, 73, -814, -224, -491, -242, -227]]

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[User]
What is the rank of the matrix:
[[115, 17, 309, -447, 236, 41, -166, -546, 49, -80, -200, -158],
 [151, 586, 722, -33, 187, -403, -49, -408, 400, 276, -28, 410],
 [-599, -792, -570, -204, -124, 174, -120, 516, -582, 44, 208, -135],
 [1041, 1292, 544, 807, -163, -123, 405, -220, 914, 84, -404, 48],
 [-371, -746, -462, -456, 200, 220, -179, -141, -478, -513, 247, -148],
 [28, 574, 348, 516, -124, -434, 157, 279, 344, 411, 175, 563],
 [834, 971, 379, 576, 67, -134, 307, -456, 725, -346, -106, 190],
 [366, 710, 758, -18, 224, -330, -12, -588, 510, 128, -128, 304],
 [-112, -82, 554, -741, 189, -15, -330, -453, -60, 447, -393, -242],
 [-781, -734, -96, -582, 56, -60, -324, 236, -556, 360, 172, 49],
 [861, 898, 18, 945, -399, 115, 469, 288, 620, 76, -372, -190],
 [207, 127, 15, 93, -214, 173, 62, 184, 71, 294, -362, -348]]?

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[User]
Determine the rank of the following matrix:
[[-1047, -173, -92, 703, -386, 1022, 696, 663, -584, -88, 248, -174],
 [-296, -13, 1149, -397, 479, -781, -334, 139, -1477, -94, 213, -163],
 [469, -142, -744, 1445, -98, 814, -26, -776, 672, 307, -569, 1214],
 [-13, 705, -860, -367, 27, 14, 154, -1015, 726, 567, -705, -937],
 [209, -558, -827, -359, 124, 897, -36, 415, 1235, -207, 214, -310],
 [-892, 1024, 0, -430, 26, -397, -87, -526, -337, -203, 697, 875],
 [916, 89, 8, -586, 1466, 1189, -31, -834, 31, -1431, 1692, 1014],
 [375, 979, -339, -287, 370, 284, 535, -1089, 288, -108, 226, -96],
 [-916, 229, -261, 176, 664, 1892, 933, -117, -678, -495, 901, -332],
 [523, 360, 160, -35, 520, 66, -56, -641, -36, -385, 528, 900],
 [-1456, -131, -225, 110, 261, 276, -569, -163, -728, 340, -208, -23],
 [-1329, -88, -551, -332, 124, 1174, 557, 711, 134, 336, 92, -1141]]

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[User]
Calculate the rank of matrix A where A =
[[-1147, -244, 205, 756, -112, -357, 45, -293, 173, 224, 757, -308],
 [118, -577, 362, -1193, -506, -446, 384, -1074, 306, -262, -500, 1584],
 [319, 388, -515, -917, -284, 434, -106, 322, -300, 43, -224, 878],
 [173, 54, 237, -505, -111, 391, 632, -6, -144, 874, 704, 209],
 [-822, -502, 438, 1360, 361, -970, 523, -332, 374, -49, 802, -470],
 [-244, -527, 381, -450, -197, -1000, 1385, -600, -30, -77, 583, 915],
 [-919, -742, 625, 426, -65, -1030, 243, -1077, 509, -159, 93, 445],
 [-571, -62, 88, 183, -195, 264, -1291, -439, 279, -179, -808, -374],
 [-156, 228, -429, -316, -274, 297, -305, 192, -82, -39, -2, 539],
 [-419, -251, 10, 198, -287, -601, 360, -26, -276, -955, 22, -935],
 [-616, -602, 747, -229, -23, -1331, 1092, -895, -125, -59, 89, 212],
 [28, 240, -915, -706, -615, -132, 153, 539, -505, -1226, -202, 476]]

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[User]
What is the rank of the matrix:
[[-375, -99, 169, 1192, 347, -1270, -522, 569, 623, 540, -255, 937],
 [704, -13, -1169, -464, -172, 205, -681, -200, 305, 394, -559, 202],
 [-111, 749, 198, -1356, -1057, 1353, 887, -105, -868, -661, 600, -645],
 [-230, 870, 275, 1705, -836, -1643, -413, 47, 287, -226, 17, 620],
 [-235, -1267, -443, 130, 1472, 44, -232, 1044, -282, 327, -626, 80],
 [558, 506, 16, 795, -650, -1702, -274, -96, 520, -536, -228, 487],
 [-378, 94, 71, 1410, 369, -884, 295, -386, -799, -14, -297, -558],
 [954, -718, -1300, -649, 902, 412, -1256, -150, 801, 889, -612, 235],
 [473, 108, -547, -1443, 132, 891, -40, -1284, 950, 1744, -181, 291],
 [-1139, 523, 1116, 1354, -631, -670, 377, 332, -15, -139, 483, 498],
 [54, -542, 708, 1039, -131, -1476, 456, 906, -312, -1903, -135, -51],
 [338, -320, -430, 508, 1031, -179, -952, 443, -320, -212, -26, -463]]?

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[User]
Find the rank of the matrix:
[[855, -1552, 1175, -96, -539, -167, -192, 579, 122, -325, 613, 570],
 [-1069, -3, 414, -1304, 294, 73, 341, -358, -82, -125, -403, 918],
 [136, -633, 518, -554, 1400, 72, 1120, -243, 783, -631, -110, 566],
 [252, 264, -264, -55, 746, 685, -185, -71, 670, 481, -105, -475],
 [-240, 426, -539, 347, -241, -146, 42, -107, -677, 122, -72, -105],
 [-94, 303, -132, -962, 463, 728, -764, 25, 472, 140, -624, 580],
 [362, -545, 614, 109, 513, 264, -199, 697, 493, -379, -63, 2],
 [-100, 458, -676, 740, -429, -757, 870, -696, -553, 51, 361, -496],
 [971, -762, 623, 582, -567, 22, -436, 420, 607, 301, 761, -729],
 [-392, 1109, -827, 711, 1505, 375, 624, -95, 403, 37, -494, -1070],
 [-580, -52, 295, -172, 1483, 210, 957, 104, 283, -471, -382, 74],
 [410, -964, 895, -572, -83, -323, 341, -82, 597, -507, 301, 656]]

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[User]
What is the rank of the matrix:
[[-6, -194, 464, -169, -262, -335, 614, -585, 18, 512, -52, -206],
 [11, -958, 52, 718, -40, -1156, 939, -271, -251, 248, -115, -917],
 [178, -587, 516, 65, -512, -851, 951, -772, -119, 601, -325, -570],
 [556, -721, 352, 588, -498, -298, 733, 27, 87, 117, -321, -376],
 [73, 190, 621, -448, -21, 508, 130, -510, -263, 202, -434, 585],
 [-26, -189, -147, 343, 701, 90, 578, 278, 445, 455, 632, -448],
 [-506, -80, -680, 284, 347, -722, 47, 326, 396, 118, 937, -803],
 [-886, 587, -334, -563, 611, -154, -264, -213, 177, 311, 882, -97],
 [-188, 795, -134, -719, 180, 642, -959, -97, -315, -331, -287, 798],
 [926, -708, 1048, 391, -481, 522, 489, -360, -902, -342, -1679, 747],
 [-72, -372, 285, 215, 7, -237, 237, -260, -520, -152, -423, 78],
 [-418, -356, 415, -75, -140, -755, 350, -800, -732, 50, -428, -61]]?

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[User]
Calculate the rank of matrix A where A =
[[213, -52, -403, 508, -833, 918, 972, 141, -594, -125, 344, 40],
 [554, -1190, 375, -766, -1057, 461, -15, -257, -397, -584, 356, -704],
 [-889, -189, 1023, -351, 204, -219, -232, -708, 316, 72, 33, 739],
 [32, 797, -1037, 397, -494, -845, -480, 679, -289, 121, -1503, -712],
 [-370, -506, 629, -790, 348, 437, 298, -888, 176, -648, 1057, 584],
 [1065, -149, -247, -234, 272, 588, 558, 212, -131, -112, 867, -158],
 [122, 392, 645, -608, 206, -252, 241, -321, -34, 286, -145, 695],
 [971, 857, -489, 175, 820, -427, -8, 734, 126, 658, -287, -85],
 [-439, -837, 456, -143, 398, -502, -1236, -124, 652, -98, 8, -565],
 [502, 63, 363, -486, 798, -360, -308, 27, 356, 267, 177, 83],
 [-300, 53, 894, 318, -564, 247, 466, -161, -224, 711, -258, 759],
 [303, 90, 398, -359, 1199, -697, -769, 108, 673, 413, 33, 0]]

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[User]
Determine the rank of the following matrix:
[[918, 49, 486, 734, 493, 1181, -641, 461, 83, 613, -55, 401],
 [379, -985, -1173, -851, 680, 336, -299, 451, -761, 5, -1010, -602],
 [91, 416, 822, 729, 1158, 1457, -59, -120, 610, -568, -114, 467],
 [-371, 601, 524, 349, 117, 110, 728, -917, 699, -477, 315, 938],
 [849, -406, -416, 94, 846, 1190, -596, 480, -382, 618, -403, -35],
 [209, 744, 134, -148, 603, 470, -42, 266, 484, -514, 165, -886],
 [-91, -737, -411, -93, -353, -305, -304, 234, -682, 550, -169, 15],
 [-613, 644, 1075, 977, 458, 766, 173, -467, 623, -387, 582, 642],
 [46, 606, 499, 279, -628, -444, -67, 133, 309, 211, 641, -207],
 [-501, -128, -905, -785, -847, -1333, 520, -430, -376, 248, 317, -277],
 [-602, -1, -567, -698, -661, -1230, 881, -810, 24, -322, 75, 236],
 [987, -182, 601, 713, 656, 1308, -751, 635, 73, 323, -458, 394]]

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[User]
What is the rank of the matrix:
[[-781, -927, -159, 219, 582, -285, -526, 315, 677, 129, 730, -504],
 [-29, -13, -240, -20, 173, 53, -367, 364, -285, 339, 350, -614],
 [101, -646, -800, -472, 896, 250, -979, -139, 172, 509, 79, -617],
 [-1134, -30, 937, 393, 963, -467, 547, 518, -226, -857, -244, -70],
 [-123, -684, -724, -1032, 400, 1058, -582, -727, 541, 467, -398, -728],
 [-1314, 204, 1014, 954, -824, -1002, 1036, 178, 1020, -1205, -383, -632],
 [2496, 1051, -1250, -740, -47, 1081, -882, -393, -1309, 1537, 174, 611],
 [-439, -966, -4, -264, 1954, 968, -912, 336, -517, 864, 605, -600],
 [1380, 175, -405, -585, 440, 45, -690, 690, -552, 503, 672, 1004],
 [-110, -130, -957, 8, 1553, 489, -177, -1033, 639, -931, -1390, 358],
 [304, 223, 282, 93, -274, -722, 510, -166, 82, -53, -315, 555],
 [396, 895, -313, 638, -1739, -2159, 558, 1070, -15, -684, 657, 622]]?

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[User]
Find the rank of the matrix:
[[158, -41, -40, 231, 49, -197, 6, -147, -54, 34, -207, 201],
 [-114, 24, -36, -126, 0, 18, -66, 0, -120, -24, 72, -48],
 [375, -90, -10, 495, 70, -305, 95, -210, 80, 80, -390, 350],
 [-231, 21, -394, -54, 175, -578, -439, -525, -1030, -46, -237, 383],
 [466, -118, -84, 660, 126, -516, 50, -378, -76, 100, -570, 542],
 [-47, 32, 242, -213, -140, 499, 217, 420, 580, -12, 336, -404],
 [-178, 64, 252, -390, -168, 618, 190, 504, 568, -40, 480, -536],
 [441, -105, -2, 576, 77, -340, 121, -231, 118, 94, -447, 397],
 [491, -131, -166, 744, 175, -692, -21, -525, -270, 106, -693, 687],
 [-610, 145, 0, -795, -105, 465, -170, 315, -170, -130, 615, -545],
 [-327, 81, 38, -450, -77, 322, -55, 231, 2, -70, 375, -349],
 [-456, 96, -144, -504, 0, 72, -264, 0, -480, -96, 288, -192]]

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[User]
Find the rank of the matrix:
[[540, 534, -328, 168, 4, 42, -654, 138, -668, -646, 156, 428],
 [367, 356, -186, 219, -141, -101, -576, -14, -483, -591, 197, 221],
 [523, 521, -338, 105, 83, 112, -561, 193, -631, -542, 101, 453],
 [374, 391, -340, -204, 442, 425, -51, 425, -374, 17, -170, 510],
 [107, 109, -82, -15, 67, 68, -69, 77, -119, -58, -11, 117],
 [19, 17, -2, 33, -37, -32, -57, -23, -31, -62, 29, -3],
 [496, 488, -288, 192, -48, -8, -648, 88, -624, -648, 176, 368],
 [415, 410, -250, 135, -5, 25, -510, 100, -515, -505, 125, 325],
 [390, 381, -212, 192, -94, -57, -561, 27, -502, -569, 174, 262],
 [-403, -386, 178, -315, 257, 203, 726, 92, 551, 757, -281, -193],
 [392, 385, -224, 162, -52, -19, -525, 59, -496, -527, 148, 284],
 [127, 128, -90, 3, 51, 55, -108, 70, -147, -99, 5, 125]]

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[User]
Find the rank of the matrix:
[[-525, -272, -122, -440, 342, -28, 383, 66, 709, 6, -529, 823],
 [-148, -267, -278, 1193, 1710, 113, 1059, 924, 1392, 1079, -66, 316],
 [-79, -32, 11, 226, -129, 10, -138, 89, -222, 29, 380, -340],
 [-537, 546, 346, -1497, -248, -411, 680, -303, 594, 280, -738, 176],
 [-577, 370, -167, -1052, -307, -21, 29, -696, 407, 589, -512, 217],
 [518, 506, 1005, -576, 183, -235, 1194, -337, 432, 618, -775, -339],
 [-1289, -479, 133, -748, -1331, 332, -722, -1604, -581, 915, 555, -481],
 [-98, -89, -893, 178, -229, 1018, -917, -746, 76, 51, -570, 626],
 [-281, -362, -116, 208, 1260, -732, 801, 666, 929, 632, 151, 615],
 [686, 129, 45, 303, 1017, -145, 788, 954, 719, -542, -731, 676],
 [585, 1753, -179, -1205, -95, 50, 474, 439, 651, -562, -1490, 10],
 [934, 443, 356, -141, 30, 249, 329, -128, 42, -388, -914, 114]]

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[User]
Determine the rank of the following matrix:
[[-474, 320, 682, 498, 938, 745, 452, -233, -103, 826, 1240, -1187],
 [-425, -364, 479, 168, -875, 13, -566, 577, -176, 132, 25, 499],
 [826, 269, -1280, 67, 691, -1087, 563, -126, 775, -211, -820, 719],
 [-177, 304, -948, 147, 1056, 6, 264, 649, -140, -304, -297, -464],
 [-540, -499, 1061, 58, -775, 414, -601, 241, -488, 329, 417, -37],
 [477, 232, -942, 254, 708, -972, 511, 84, 621, 224, -348, 582],
 [-390, 89, 425, 1259, 467, 352, 146, 518, 583, 521, 402, -203],
 [222, 969, -1074, -188, 740, -661, 942, -296, 453, 533, 656, 114],
 [-1016, 236, -57, 979, -21, 926, -346, 1471, -1, -354, 26, -368],
 [-492, -425, 73, -54, 472, -192, -261, 684, -759, 439, 156, -250],
 [-107, 301, 390, 658, -703, 1031, -155, 15, 659, -735, -191, -117],
 [-288, 512, -1107, 423, 1094, 41, 358, 875, 91, -276, -223, -392]]

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[User]
Find the rank of the matrix:
[[282, -766, 712, 160, 676, -892, 557, -1383, 453, 361, -140, -386],
 [-1448, -1197, -831, 1308, -716, 529, 613, -377, 586, 654, 738, -754],
 [155, 858, 318, -856, -41, -708, -408, -684, -392, 471, -282, -1406],
 [637, 657, -123, -345, 148, 925, 3, 533, -1169, -389, -316, 99],
 [-859, 668, -291, -719, -164, 97, -558, -714, 1003, 609, -1103, -1357],
 [674, -1263, -1, 919, 449, 811, 1199, 26, -770, -361, 1163, 575],
 [-646, 218, -643, 54, -575, -508, -42, -447, -143, 646, 217, -202],
 [-790, -416, -515, -128, -170, -1036, 317, -1595, 907, 1008, 386, -593],
 [1452, -137, 745, -925, 801, 882, 652, 487, -782, -877, -958, -134],
 [433, -812, -645, 200, 144, 615, 888, 156, -292, -227, 1419, 941],
 [50, 442, 624, -359, 96, -1609, -387, -779, -119, -24, -533, 79],
 [-613, -1025, -891, 250, -681, 391, 770, 524, 726, 646, 38, 222]]

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[User]
Compute the rank of the given 12x12 matrix:
[[286, 646, -618, 425, 666, 125, 184, 173, -115, -358, -588, 495],
 [77, -345, 1109, 685, 649, 1401, -691, 292, 858, -690, 79, -1192],
 [-215, -657, 317, -1461, 407, -559, -122, -1415, -28, 1743, 1916, 55],
 [-769, 500, -426, 1436, -1181, 203, 319, 954, 351, -865, -748, 159],
 [525, 958, -31, 557, -157, -1364, 333, -994, 800, -641, 1055, 226],
 [-509, -750, -161, -92, 196, -110, 68, 242, 92, -1206, 41, -416],
 [585, -747, 917, -519, -342, -508, 651, -1124, 105, 159, -299, 1239],
 [-13, 502, -264, -547, -280, -339, -776, -14, -859, 1155, -76, -105],
 [638, -399, 2120, 824, -62, 1149, 823, -411, 1498, -460, 24, 252],
 [604, -1656, -32, -285, -271, -18, -118, -228, -267, 129, -539, 4],
 [1004, 1633, -1259, 912, 656, -292, -302, 899, -134, -943, -430, -759],
 [33, 95, 138, 80, -150, 457, -919, -137, 113, -113, -725, -102]]

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[User]
Calculate the rank of matrix A where A =
[[1134, 946, -570, 1810, -228, -216, -53, -324, -226, -2061, -636, 294],
 [401, -555, 654, -1130, 303, 505, 1339, 1434, -312, 864, -169, -281],
 [773, 862, -83, -616, -370, -263, 469, 762, -691, 297, 815, 10],
 [-708, -856, 235, -1061, -40, 986, -670, -187, -233, 1162, 1069, 214],
 [-768, 370, 37, 249, 28, -409, -669, -248, 906, -37, 32, 11],
 [-58, 651, -702, -34, -163, -1502, -557, -734, 1324, 460, -14, 558],
 [289, -231, 761, 507, -747, 319, 1192, 749, -1139, -639, 74, -611],
 [1151, 400, -501, 1028, -835, 752, -509, 94, -273, -757, 1593, 1257],
 [842, 794, -182, 1964, -682, 495, -241, 1, -833, -1816, 908, 365],
 [1605, 1031, -162, 403, -520, 138, 523, 369, -1063, -1424, -349, 112],
 [289, 4, -118, -604, 1165, 131, 560, 667, -292, 487, -474, -394],
 [580, 458, 413, 1049, -882, -493, 603, -232, -550, -1248, -323, -209]]

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[User]
Find the rank of the matrix:
[[-373, 786, -372, -1417, -76, 218, -394, -2210, -159, -174, 298, -183],
 [-958, -847, 1605, -817, -1055, -737, -1051, 138, -1324, 955, -331, -500],
 [589, -78, -971, -178, -134, 472, -582, 33, 152, 293, -35, 1306],
 [-736, 28, 431, -271, 749, 82, -73, -257, 34, 21, -259, -773],
 [654, -1552, 105, -427, -1188, -1601, -1654, 96, -612, -1129, -525, 1013],
 [885, 797, -1001, -674, -53, -1070, -158, 141, -656, -449, 168, -865],
 [973, -559, 500, -787, -1494, 176, -983, -241, 983, 716, 15, 1495],
 [323, 1099, -96, 425, 161, 796, 49, -866, 518, 1184, 958, 1068],
 [-41, 350, 980, -965, -818, -252, 337, -391, -76, 87, 669, -865],
 [-320, 2, -402, -278, 519, -700, 61, -910, 51, -1764, 193, -752],
 [145, 299, -801, 1663, 1186, 239, 915, 355, 968, -821, 787, 57],
 [149, -305, 42, -2101, -1098, -710, -690, -721, -822, -992, 210, -229]]

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[User]
Calculate the rank of matrix A where A =
[[-1039, 316, 463, 73, -435, 194, -365, -533, -202, -110, -493, -478],
 [-479, 204, 421, -656, 101, 788, -274, -937, -214, 0, 411, -365],
 [-354, 130, 366, 389, 417, -1153, 384, -327, -559, 441, -479, -291],
 [-691, 989, 579, 369, -130, -1158, -82, -892, -927, 329, -905, -98],
 [143, 6, 699, -383, 1124, -107, -584, -1061, -6, -358, 1457, -225],
 [-61, 129, 210, -365, -224, 123, -969, -572, -1181, -558, 599, 565],
 [989, 829, -891, 119, -3, 284, 17, 349, -202, 809, 55, 40],
 [-994, -1256, 486, -992, -537, 387, 1079, -203, -519, -171, -793, 354],
 [-1214, -801, 879, -996, -398, 180, 71, -979, -1417, -500, -206, 386],
 [-70, -298, 612, 114, 198, -552, 76, -66, 1172, -838, 104, 330],
 [85, 114, -466, -14, -913, 374, 295, 605, 226, 6, -838, 464],
 [-518, -1916, -656, -805, -695, 1425, 1180, 1109, -531, 369, -567, -103]]

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[User]
What is the rank of the matrix:
[[32, 27, -1514, -283, 454, -48, -83, 435, -454, 425, 939, -543],
 [-216, 1216, 224, 260, -1580, -442, 234, 1619, -1207, -473, 1027, -257],
 [-1528, 1232, 486, -363, -300, 276, 916, 434, 365, -384, -281, -296],
 [85, 315, 656, -89, -128, -420, 154, 624, -12, 195, 1076, 578],
 [-235, 488, -755, 484, 298, 717, -562, -664, 390, -1147, 164, -1039],
 [-651, 437, -143, -544, -724, -51, 454, 812, -619, -256, -288, -1177],
 [355, -362, -509, -301, -1672, 488, -202, 1177, -1679, -291, 711, -823],
 [265, -292, -484, -814, -203, 227, -847, 618, 129, -530, -1257, -548],
 [-534, 97, -1207, -289, 546, -13, 559, 1005, 20, 1006, 411, -361],
 [-1512, 883, 24, 19, 1278, 320, 84, 513, -657, -291, 1075, 406],
 [831, -26, 475, 307, -964, -349, -843, 1476, -1104, -647, 851, -186],
 [-588, -397, 952, 701, 1101, 357, -282, -908, -636, -85, -528, 1254]]?

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[User]
Calculate the rank of matrix A where A =
[[-6, 2, 17, 9, 0, -22, 1, -22, -15, -25, 25, 17],
 [-132, 44, 374, 198, 0, -484, 22, -484, -330, -550, 550, 374],
 [-138, 46, 391, 207, 0, -506, 23, -506, -345, -575, 575, 391],
 [-12, 4, 34, 18, 0, -44, 2, -44, -30, -50, 50, 34],
 [108, -36, -306, -162, 0, 396, -18, 396, 270, 450, -450, -306],
 [150, -50, -425, -225, 0, 550, -25, 550, 375, 625, -625, -425],
 [132, -44, -374, -198, 0, 484, -22, 484, 330, 550, -550, -374],
 [108, -36, -306, -162, 0, 396, -18, 396, 270, 450, -450, -306],
 [-30, 10, 85, 45, 0, -110, 5, -110, -75, -125, 125, 85],
 [126, -42, -357, -189, 0, 462, -21, 462, 315, 525, -525, -357],
 [-84, 28, 238, 126, 0, -308, 14, -308, -210, -350, 350, 238],
 [-24, 8, 68, 36, 0, -88, 4, -88, -60, -100, 100, 68]]

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[User]
Calculate the rank of matrix A where A =
[[-612, 393, -276, -1453, -535, 401, 894, -158, 1376, 360, -1033, 756],
 [-691, -289, 1348, -248, 1813, -19, -66, -169, 208, -425, 672, -229],
 [-54, 145, -1092, -424, -1001, 754, 280, 386, -249, 563, 478, -1342],
 [1020, -691, 567, -441, -726, 175, -9, 323, -864, 1155, 1, 262],
 [174, 716, 98, 587, -154, -196, 162, 423, -356, 287, -869, -91],
 [-240, 269, -1189, 175, 773, -1171, 327, -1795, 371, 23, 470, 1139],
 [819, -79, 26, 20, -455, 506, -870, 1390, -546, 455, -898, -163],
 [193, -687, 901, -889, -968, 106, 370, 1054, -114, -192, -504, 273],
 [975, -226, 932, -206, 178, -308, -27, 286, -530, 574, -1036, 770],
 [-946, 1052, -214, -981, -380, -8, 1056, 723, 1182, 807, -1659, 215],
 [199, -841, 505, -1962, 619, 778, 95, -283, 439, 803, 214, 357],
 [-43, 32, 733, -1923, 637, 1257, 212, 299, 1133, 287, -1290, 173]]

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[User]
Find the rank of the matrix:
[[-390, -534, 618, 544, 222, 534, 92, 384, -726, -396, 714, -880],
 [-406, -118, 325, -375, -282, 12, -200, -47, -425, -169, 186, -178],
 [468, -565, -382, 141, -992, -120, 438, -197, 2178, 616, -1009, 1003],
 [-1057, 610, -179, 36, 507, 412, -506, 236, -706, 57, 474, 291],
 [186, 617, -679, -1071, -428, -947, -508, -305, 142, 504, -695, 878],
 [-76, -963, -312, 896, -201, -59, -108, 1030, 172, 669, 75, -152],
 [102, 68, 113, -969, -159, 246, 52, -913, -196, -267, -210, -180],
 [70, -1127, 235, 861, -771, -555, 8, 1143, 445, 398, 47, -176],
 [130, 206, -251, -745, 485, 1044, 276, -1269, -78, -217, -208, -212],
 [631, 121, 202, 56, 945, 500, 388, -486, -891, -594, 369, -1052],
 [115, -707, -81, -847, -922, -246, -140, -325, 221, 323, -493, -2],
 [516, -919, 310, -1071, -1140, -342, 118, -633, 244, -14, -547, -375]]

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[User]
Compute the rank of the given 12x12 matrix:
[[107, -560, -450, -1262, 1613, -798, -875, 464, 1300, 426, -159, 606],
 [925, 573, -770, -208, -838, 1035, 185, 564, -211, 175, -834, -378],
 [363, 839, 243, 48, 381, -1509, 69, -1042, -1204, 504, 288, 1283],
 [-77, 22, 30, 421, 930, 415, -189, -1278, 1901, -326, -189, 478],
 [241, 1406, 155, 2508, -853, -342, 447, -979, -520, -71, -212, 484],
 [-271, -319, 546, 189, 1023, 237, 944, -771, 743, -106, 816, 181],
 [109, 1156, 237, 1880, 159, -314, 1126, -1328, -223, 872, 541, 775],
 [197, -810, 373, -181, 58, 548, -569, 494, 181, -1414, -349, 34],
 [519, 1046, -293, 574, -57, -1067, -285, -1580, -863, 478, 515, 1010],
 [-1060, -453, 546, 18, 908, -78, 1491, -816, 439, 728, 1525, -392],
 [-406, 521, 631, 524, -965, -298, 157, 831, -621, -8, -261, -627],
 [-63, -15, 158, 1263, -577, 1654, 176, 652, 1146, -313, -592, -681]]

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[User]
Determine the rank of the following matrix:
[[584, -239, -242, 310, 1053, 677, -336, 630, -500, 1228, -116, -591],
 [-342, -127, 466, -43, 841, -255, 209, 45, -94, 571, -589, 212],
 [-688, -45, 551, -57, -845, -796, 557, -897, 351, -1084, 132, 803],
 [267, 39, -202, 5, 219, 267, -185, 278, -133, 340, 35, -270],
 [-104, -42, 510, -106, 790, -280, 290, -82, -346, 776, -160, 238],
 [551, 340, 125, -337, 132, -91, 161, -134, -622, 729, 854, 18],
 [-535, 401, 738, -652, 25, -939, 580, -519, -7, -33, -22, 727],
 [-604, -850, 988, 729, 322, -546, 735, -953, -180, -49, -111, 811],
 [-141, 33, 94, -44, -335, -199, 128, -245, 103, -355, 118, 195],
 [861, 1162, -791, -990, -1330, 99, -334, 161, -96, -408, 1377, -377],
 [44, -1139, 44, 1247, 869, 663, -121, 121, -190, 501, -517, -264],
 [-163, 1094, 69, -1258, -534, -701, 142, -27, 188, -288, 233, 283]]

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[User]
What is the rank of the matrix:
[[1332, 90, -1050, -2659, 1305, -1143, 170, -469, 491, 1764, -39, -1045],
 [58, -1090, -332, -1688, 552, 414, 1627, 708, 230, 73, 391, -942],
 [807, 681, -1354, -1009, 1042, -446, -380, -1355, 696, 230, -498, -130],
 [151, -515, -657, -64, 800, -320, -80, 154, 13, 838, -661, 337],
 [602, -411, 783, -918, 18, 157, 204, 338, -453, 464, 570, -1015],
 [989, -357, 671, 540, -214, 369, -636, 1696, 112, 349, -248, -695],
 [-485, 87, -391, -872, -949, 56, 987, 202, 868, 49, 1858, -2141],
 [-159, -301, 744, -463, -239, 239, -379, -72, -423, -564, -475, -1198],
 [259, -435, -1009, -885, 371, -324, 166, 291, 682, 478, -419, -1444],
 [-208, 592, 705, 124, -818, -867, -679, -302, 540, 671, 952, -760],
 [-1594, -1017, 155, 399, -618, 722, 1824, 149, -195, -724, 1421, -616],
 [7, -242, -645, -796, 1083, -152, -199, -1300, -393, 286, -600, -260]]?

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[User]
Find the rank of the matrix:
[[-188, 300, -236, -409, -135, 554, 458, 382, 71, -433, -627, 413],
 [-194, -265, 239, 510, 230, -511, -467, -282, 112, 355, 334, -383],
 [-333, 753, 598, 263, 745, 162, -503, 520, -360, 291, 368, -524],
 [404, -247, 271, 214, 132, -173, 13, -412, 6, 39, 510, 361],
 [776, -1107, -461, -70, -766, -503, 399, -974, 322, -113, 172, 591],
 [728, -456, -96, -91, -319, -208, 196, -516, -51, 1, 429, 333],
 [96, 174, -524, -733, -488, 705, 805, 319, 81, -645, -802, 712],
 [623, -1273, -42, 486, -359, -885, 10, -1253, 433, 150, 594, 476],
 [-480, 60, 452, 679, 539, -564, -856, -4, -57, 615, 463, -925],
 [-434, 335, 441, 373, 562, -12, -368, 217, -27, 172, 148, -249],
 [-708, 1265, 115, -424, 448, 953, 75, 1226, -324, -259, -666, -239],
 [-312, 508, -20, -320, 128, 692, 436, 504, 56, -476, -592, 524]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-648, -440, -4, 226, -406, -355, 391, -165, 167, -232, 200, 253],
 [682, 628, -162, -763, -125, 370, 68, -489, 369, 197, 231, 110],
 [759, 1160, -256, 126, 635, 613, 116, 530, -14, 721, -668, -738],
 [-527, -106, -451, -698, -1021, 122, 840, 447, 198, 260, 388, -109],
 [-633, 36, -412, -301, -431, 901, 244, -169, 1485, 303, -480, 764],
 [-304, 612, -679, -221, -404, 90, 302, 488, -884, 747, 605, -419],
 [998, 200, 750, 1027, 1050, -776, 276, 449, -603, -404, -726, -1208],
 [745, 628, -70, -416, 135, 97, -32, -166, -264, 207, 230, -280],
 [-159, -498, 456, 850, 198, -1142, 184, -24, -923, -556, 298, -396],
 [348, -652, 941, 1073, 1065, -178, -354, 106, 738, -772, -1380, -81],
 [-253, 298, -379, -194, -666, -65, 1243, 684, 61, 365, 43, -674],
 [664, 112, 766, 1478, 1213, -779, 191, 261, -379, -447, -925, -939]]

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[User]
Find the rank of the matrix:
[[1439, -151, -216, 678, -137, 53, -165, 1060, 563, -583, 784, -209],
 [166, 247, -637, 605, -49, -118, -611, -860, -1038, 472, -736, -325],
 [-836, -304, 381, -476, 313, 252, -6, -488, -23, 192, -302, 151],
 [-486, 283, 634, -176, -343, 55, -515, -369, -714, -284, -503, 421],
 [228, 836, 467, 142, -806, -350, -407, 110, -769, -578, -201, 388],
 [-636, -1392, -1009, -250, 1560, 368, 760, -789, 1196, 1782, -551, -633],
 [-236, -46, 106, 8, 427, 104, -352, -961, -607, 78, -65, -428],
 [326, -179, -225, 460, 72, -9, -506, -334, -196, 596, -1051, 107],
 [-782, -733, -551, -395, 408, 336, 629, 195, 813, 722, -135, 95],
 [-707, -104, 1006, -498, 196, 250, -379, -608, -342, -291, -239, 249],
 [-612, -184, 616, -692, 604, -36, 468, -508, 428, 188, 104, -88],
 [491, -346, -759, 338, 576, -146, 303, -219, 498, 841, -224, -496]]

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[User]
Compute the rank of the given 12x12 matrix:
[[103, -1169, -265, 96, 345, 180, 830, -339, 408, -59, -509, 248],
 [212, -225, 74, 689, 206, 387, 575, -511, 344, -125, -575, 617],
 [256, -1324, -661, -844, 230, 186, 860, -141, 221, -59, -1, -744],
 [-955, 595, 686, 1262, -893, -778, 90, -12, -647, -18, -1014, 880],
 [-52, -697, 292, 481, 282, 73, 511, -183, 356, 83, -615, 831],
 [-364, -1847, -314, -867, 1, -462, 908, 256, -9, 166, -336, -420],
 [-973, 105, 324, 1070, -991, -802, 554, -162, -695, -128, -1168, 504],
 [-156, -5, -483, -625, 209, -381, -948, 468, -61, 42, 820, -575],
 [127, -1001, 93, -474, 492, 84, 273, 185, 402, 231, 11, 206],
 [-416, 152, 115, 686, -535, -292, 399, -237, -341, -141, -677, 256],
 [-236, -623, -294, 51, -168, -213, 519, -151, -90, -105, -391, -139],
 [49, -272, -432, -23, 357, -8, -297, -34, 236, -84, 240, -62]]

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[User]
What is the rank of the matrix:
[[-151, 140, 101, -223, 103, -229, 56, 100, 84, -112, 271, -38],
 [-38, -299, -352, -266, -94, -323, -10, 342, -538, -931, -181, 623],
 [270, 586, 391, -286, 272, -101, 192, -402, 636, 950, 320, -718],
 [518, -144, -333, -200, -78, -93, 62, -107, -324, -176, -501, 267],
 [236, -49, 480, 208, -468, 775, -638, -350, 378, 503, -529, 117],
 [1541, -6, -86, -789, -457, 182, -362, -665, -108, 238, -1400, 533],
 [89, -123, -178, 373, 9, 207, 94, -102, -86, 237, -150, -141],
 [656, 183, -420, -88, 340, -281, 574, -340, -94, 551, -151, -473],
 [854, -137, 109, -84, -490, 592, -496, -497, 54, 375, -1030, 332],
 [565, 210, 434, -873, -341, -14, -502, -235, 252, -82, -478, 451],
 [171, 239, -109, -813, 225, -740, 262, 140, -122, -453, 206, 141],
 [893, 581, 489, -957, -55, -126, -172, -573, 574, 685, -321, -166]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[-349, -360, 465, -242, -407, -408, 1126, 218, -35, -1369, 641, 329],
 [-113, -74, 1627, -264, -735, -319, -189, 867, -887, 1170, 672, -569],
 [115, -138, -630, 790, 833, -311, -48, -1385, -42, -1186, -369, 881],
 [-54, 38, 1165, -499, -620, -1238, -264, -49, -1932, 1057, 74, -172],
 [-650, -271, 735, 289, 58, -44, 938, -297, 489, -1313, -559, -200],
 [-388, 726, -822, 304, 410, 918, 436, -54, 360, 648, -160, 680],
 [569, -651, 237, 1056, -92, -458, 705, 275, 1453, -1143, -239, -484],
 [-119, 373, 81, -61, -59, 326, 213, 487, 221, 830, -247, -251],
 [474, 349, -1349, -310, 135, -165, 327, 162, -3, 61, 112, 721],
 [-313, 151, 50, -911, -879, -364, 15, 276, -943, 860, 199, -304],
 [-2039, 4, 213, -1305, -1455, 24, 1190, -708, -135, -336, -133, -1114],
 [-115, -6, -1202, -192, 804, 1254, 302, 77, 2153, -1529, -1347, -474]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-425, 805, -394, 1255, -543, -50, -402, 484, -955, -311, -2102, 406],
 [66, 356, 1019, 698, -891, -1552, 92, 398, -1768, 47, -351, 239],
 [65, -87, 817, -187, 701, 892, 1175, -396, 88, 963, -147, -339],
 [-1228, 339, -513, 439, 369, 936, -94, -1806, 30, 499, -550, 229],
 [1319, -1202, 448, -160, 1008, 1122, 331, 716, -31, 45, 7, 275],
 [-1197, -591, -720, -596, 87, 370, -239, -512, -131, 1203, -629, 666],
 [-1010, 477, -984, 54, 493, 1747, -213, -916, 284, 534, -1512, 31],
 [647, -859, -427, 417, -141, -1105, -1185, -13, -139, -648, 496, 1147],
 [-533, -76, 850, -829, 480, 1549, 906, -182, -1170, 303, 269, -1049],
 [216, -659, 106, 1056, 73, 530, -525, -51, -46, 330, 37, 808],
 [499, 963, -998, -915, -272, 528, -817, -343, 676, -23, -78, -590],
 [-1241, 489, 688, 382, 117, 895, 1098, -275, -880, 147, -505, -735]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-52, 22, -38, -34, 36, -34, 48, 8, 28, -22, -14, -6],
 [390, -165, 285, 255, -270, 255, -360, -60, -210, 165, 105, 45],
 [182, -77, 133, 119, -126, 119, -168, -28, -98, 77, 49, 21],
 [520, -220, 380, 340, -360, 340, -480, -80, -280, 220, 140, 60],
 [-156, 66, -114, -102, 108, -102, 144, 24, 84, -66, -42, -18],
 [52, -22, 38, 34, -36, 34, -48, -8, -28, 22, 14, 6],
 [-260, 110, -190, -170, 180, -170, 240, 40, 140, -110, -70, -30],
 [234, -99, 171, 153, -162, 153, -216, -36, -126, 99, 63, 27],
 [338, -143, 247, 221, -234, 221, -312, -52, -182, 143, 91, 39],
 [624, -264, 456, 408, -432, 408, -576, -96, -336, 264, 168, 72],
 [-156, 66, -114, -102, 108, -102, 144, 24, 84, -66, -42, -18],
 [182, -77, 133, 119, -126, 119, -168, -28, -98, 77, 49, 21]]

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[User]
Calculate the rank of matrix A where A =
[[577, 639, -46, -207, -809, -1056, 767, -68, 235, 1502, -118, 1295],
 [-1420, -214, 1379, 438, 923, -813, 310, 591, 98, 574, 170, -132],
 [115, 318, 59, 282, -335, -304, 292, -253, 247, -168, -170, 553],
 [2, 955, -547, -10, -201, -786, 1050, -176, -444, -932, -1058, -747],
 [-224, -494, -40, -381, -270, -141, -1428, -173, 454, 1869, -231, 1420],
 [-102, -997, -416, -246, 627, 852, -1028, 64, 106, 860, -3, 751],
 [-860, 19, 432, 799, 951, -747, -385, -169, 179, -1180, -401, -708],
 [558, -1218, 104, 334, -240, 1199, 1315, 756, -312, -69, 514, 379],
 [298, -1270, -722, -544, 388, 1382, -997, 499, -53, -268, -129, -592],
 [875, -1340, -732, 443, 985, 179, -934, -306, -32, 878, 907, -66],
 [933, -148, -1562, -372, -39, 281, 355, -585, 1032, 662, -708, 525],
 [-1019, 75, 2045, 1362, -51, -1375, 326, 539, -1141, -65, 245, -512]]

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[User]
Determine the rank of the following matrix:
[[-160, 250, -30, -260, -150, 110, -40, 250, 170, -20, -150, -240],
 [-240, 375, -45, -390, -225, 165, -60, 375, 255, -30, -225, -360],
 [-48, 75, -9, -78, -45, 33, -12, 75, 51, -6, -45, -72],
 [-64, 100, -12, -104, -60, 44, -16, 100, 68, -8, -60, -96],
 [-224, 350, -42, -364, -210, 154, -56, 350, 238, -28, -210, -336],
 [144, -225, 27, 234, 135, -99, 36, -225, -153, 18, 135, 216],
 [-64, 100, -12, -104, -60, 44, -16, 100, 68, -8, -60, -96],
 [16, -25, 3, 26, 15, -11, 4, -25, -17, 2, 15, 24],
 [48, -75, 9, 78, 45, -33, 12, -75, -51, 6, 45, 72],
 [-384, 600, -72, -624, -360, 264, -96, 600, 408, -48, -360, -576],
 [352, -550, 66, 572, 330, -242, 88, -550, -374, 44, 330, 528],
 [-416, 650, -78, -676, -390, 286, -104, 650, 442, -52, -390, -624]]

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[User]
Calculate the rank of matrix A where A =
[[-544, 260, 45, -308, -85, -154, 483, 326, -644, 383, 140, 361],
 [-531, 516, -351, -387, 279, 120, 321, 261, -474, -186, 489, 825],
 [1082, 165, 478, 998, -14, 111, -866, -685, 745, 203, -231, -146],
 [342, 108, 437, 542, -603, -94, -481, -246, 162, 861, 258, 243],
 [-1023, 377, -423, -940, 603, -87, 1148, 594, -1062, -417, -32, 366],
 [-541, -598, -124, -343, 624, 360, -52, 1151, 486, -1157, -743, -862],
 [530, 100, 6, 85, 779, -74, 367, -529, -42, -620, -818, -622],
 [239, 159, -356, 24, 676, 329, -201, -124, 378, -932, -56, 71],
 [695, 866, 380, 709, 322, 8, -232, -667, -76, 339, -51, 552],
 [-1138, -467, -54, -624, 595, 307, 282, 1712, 42, -947, -711, -649],
 [55, -685, -37, -39, 407, 225, -227, 460, 677, -917, -752, -1045],
 [-533, 245, 9, -259, -34, -45, 313, 415, -470, 237, 182, 396]]

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[User]
Calculate the rank of matrix A where A =
[[-756, 573, 22, 557, 149, -906, -632, 235, 1023, -1423, -880, -617],
 [186, 519, 155, 545, 822, -493, 861, 529, -450, 385, -138, 1253],
 [420, 68, 287, 636, 585, 331, 658, 481, -1000, 742, 96, 1503],
 [-1043, -1058, 560, 336, -163, 1656, -417, -1100, 400, -499, 354, -158],
 [260, -229, 636, 74, -601, 346, -331, -471, -152, -147, 493, 7],
 [-130, 877, -236, 511, -535, -432, 116, 185, 205, 47, -178, 405],
 [-362, 980, -510, 314, -520, -1014, -506, 406, 802, -738, -734, -584],
 [-437, 159, -655, 8, -713, 609, 97, -264, 214, 524, 99, -7],
 [580, -119, 425, 321, 1556, -385, 650, 853, -928, 257, -260, 1114],
 [-131, -487, 827, 1028, 731, 755, -216, 247, -605, -394, -223, 972],
 [-210, -851, 193, -36, -880, 1409, -835, -655, -63, -95, 369, -510],
 [119, 103, -948, -1317, -738, -434, 16, -333, 585, 424, 252, -1348]]

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Determine the rank of the following matrix:
[[-126, 28, 154, 42, 182, 196, 56, -350, 28, 0, 266, 126],
 [45, -10, -55, -15, -65, -70, -20, 125, -10, 0, -95, -45],
 [-198, 44, 242, 66, 286, 308, 88, -550, 44, 0, 418, 198],
 [-18, 4, 22, 6, 26, 28, 8, -50, 4, 0, 38, 18],
 [-45, 10, 55, 15, 65, 70, 20, -125, 10, 0, 95, 45],
 [216, -48, -264, -72, -312, -336, -96, 600, -48, 0, -456, -216],
 [216, -48, -264, -72, -312, -336, -96, 600, -48, 0, -456, -216],
 [-171, 38, 209, 57, 247, 266, 76, -475, 38, 0, 361, 171],
 [225, -50, -275, -75, -325, -350, -100, 625, -50, 0, -475, -225],
 [-99, 22, 121, 33, 143, 154, 44, -275, 22, 0, 209, 99],
 [45, -10, -55, -15, -65, -70, -20, 125, -10, 0, -95, -45],
 [-198, 44, 242, 66, 286, 308, 88, -550, 44, 0, 418, 198]]

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Compute the rank of the given 12x12 matrix:
[[197, 519, 369, 154, -4, 132, 835, -212, 545, 91, -471, 302],
 [-64, 188, 54, 135, 13, 26, 192, 23, 150, -46, -87, -32],
 [691, -109, 693, -179, 453, 404, 445, -447, 197, -3, -18, 726],
 [-307, -4, -441, -37, -371, -289, -273, 190, -153, 134, -63, -340],
 [-594, 574, 126, 808, 388, 196, 274, 392, 350, -610, 174, -500],
 [271, -105, 531, 138, 628, 414, 113, -126, 67, -349, 321, 294],
 [-547, 452, 171, 781, 499, 251, 159, 384, 267, -670, 303, -468],
 [-215, -381, -351, -104, -50, -144, -673, 202, -431, -61, 351, -298],
 [203, -410, -81, -332, -36, -47, -367, -97, -305, 138, 150, 136],
 [-230, 34, -36, 221, 155, 46, -138, 177, -36, -236, 201, -228],
 [-701, 646, -369, 520, -328, -239, 249, 395, 303, -110, -270, -632],
 [-255, -281, -225, 55, 115, -38, -569, 233, -337, -211, 408, -314]]

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[User]
What is the rank of the matrix:
[[548, -458, -484, 894, -120, 501, 670, 90, -335, -305, 564, -950],
 [-965, -1127, 805, -482, -529, 426, 43, 10, 322, 120, 1012, -879],
 [1072, 1172, 433, -2140, -1583, 534, 273, -947, 691, -18, 447, -226],
 [-468, 371, -513, -2189, -1959, 706, 737, -569, 856, -51, 722, -52],
 [126, 1252, 611, -6, -687, 576, -350, -96, -115, -6, -634, -439],
 [207, -50, -431, 661, 1198, 1379, 189, 236, -1084, 468, 50, 517],
 [-112, -682, -705, 1158, 934, -217, 392, 413, -266, -649, 313, 347],
 [94, -626, -581, 405, 318, 300, -384, -402, -296, -1882, 297, -595],
 [-614, 75, -354, -280, 199, -303, -20, -183, -93, -747, -69, 793],
 [-561, 904, -94, -1200, -1705, 244, 1365, -1189, 175, 12, -825, 1239],
 [1355, 508, -506, -1071, -947, 632, 139, -550, 554, -952, 737, -1005],
 [555, -963, -394, 1029, 2405, -803, -854, 856, -515, -253, 770, 65]]?

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[User]
Determine the rank of the following matrix:
[[-104, 52, 650, 182, -416, 624, -364, -338, -286, -494, -338, 312],
 [-61, 23, 410, 183, -284, 541, -296, -152, -99, -396, -367, 228],
 [54, -60, -211, 241, 40, 446, -174, 379, 451, -211, -567, 36],
 [-78, 48, 453, 45, -264, 258, -174, -309, -297, -243, -51, 180],
 [21, -45, 1, 314, -100, 679, -306, 281, 374, -389, -708, 144],
 [114, -84, -609, 75, 312, -54, 102, 537, 561, 159, -237, -180],
 [-134, 106, 688, -162, -328, -106, -40, -676, -726, -84, 442, 168],
 [111, -81, -596, 65, 308, -71, 108, 518, 539, 166, -213, -180],
 [135, -87, -769, -38, 436, -355, 258, 559, 550, 365, 0, -288],
 [-176, 124, 962, -58, -512, 216, -220, -794, -814, -326, 238, 312],
 [-20, 10, 125, 35, -80, 120, -70, -65, -55, -95, -65, 60],
 [11, -13, -40, 57, 4, 109, -44, 82, 99, -54, -133, 12]]

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[User]
Find the rank of the matrix:
[[504, 5, -11, -123, 622, -1015, -350, -11, -1096, -753, 330, 1394],
 [161, -206, -570, -473, -130, -446, -63, -1272, -305, -934, 142, 1235],
 [900, -835, -590, 245, -526, -251, 810, -669, -205, -1168, 456, -365],
 [-429, 1224, -667, 957, -711, 971, 880, 66, 1248, 150, -42, 344],
 [28, -978, -244, -1028, 350, 82, -1249, -321, 122, 398, 55, -57],
 [79, -1009, -111, -257, -324, -443, -363, -763, 135, 18, 247, 141],
 [-278, 966, -619, 943, 175, 1792, 1162, 482, 1430, -222, -182, 35],
 [-460, 57, 1025, -73, 1116, -120, -126, 387, 33, 355, -219, 919],
 [-482, 745, 557, -374, 82, 609, 291, 363, -525, 644, -533, -184],
 [-1350, -350, 179, 165, -566, 630, -1457, -1006, -25, 1869, -873, 257],
 [-1032, 829, 313, -265, -180, 287, 849, -735, 445, 197, -1030, -911],
 [797, 290, 348, 429, 869, 151, 885, 931, 538, -660, 375, 273]]

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[User]
Compute the rank of the given 12x12 matrix:
[[-116, -481, -135, -602, -403, -452, -33, -600, -244, -203, -168, 44],
 [20, 257, 589, -5, -518, -379, 158, 234, 499, 666, 116, -421],
 [168, 706, 226, 866, 552, 630, 56, 876, 378, 328, 248, -86],
 [44, 119, -155, 268, 367, 338, -43, 180, -74, -153, 32, 134],
 [52, 185, -39, 289, 284, 283, -12, 246, 29, -20, 60, 53],
 [-8, -106, -246, 4, 218, 160, -66, -96, -208, -278, -48, 176],
 [68, 389, 427, 286, -125, -16, 113, 432, 424, 507, 152, -280],
 [12, 79, 109, 44, -57, -30, 29, 84, 102, 127, 32, -74],
 [-116, -457, -57, -617, -484, -515, -12, -582, -181, -116, -156, -13],
 [124, 491, 69, 658, 509, 544, 15, 624, 200, 133, 168, 8],
 [76, 223, -211, 452, 575, 538, -59, 324, -82, -201, 64, 190],
 [60, 363, 441, 240, -177, -66, 117, 396, 426, 519, 144, -294]]

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[User]
What is the rank of the matrix:
[[24, -500, 362, 34, -226, -54, 0, -426, -336, -410, 34, -78],
 [614, -81, 498, 163, -333, 12, -509, -67, 251, -167, -769, 417],
 [-134, -213, 211, 117, 503, 177, -844, 421, 518, -288, -263, 980],
 [926, 249, 664, 275, -656, -200, -364, -40, 265, 126, -1244, 230],
 [58, -589, 298, 34, 270, 316, -846, 4, 308, -625, -106, 861],
 [-466, -435, -578, -367, 52, 226, 698, -568, -647, -270, 1276, -778],
 [-260, 210, -410, -78, 574, 250, -336, 514, 468, 124, 210, 476],
 [918, 667, -78, 29, -435, 100, -179, 183, 497, 465, -783, 53],
 [-264, -518, 176, -20, 39, 2, 17, -303, -316, -411, 323, -27],
 [58, -447, -149, -189, -26, 319, -63, -374, -144, -413, 468, -37],
 [464, -2, -41, -116, -646, -17, 521, -574, -409, 35, 68, -737],
 [262, 877, -301, 0, -437, -329, 810, 91, -133, 841, -227, -861]]?

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[User]
What is the rank of the matrix:
[[1112, 1, -211, -459, -511, 525, -1245, -480, 253, -231, 510, 1720],
 [-672, 53, -806, 353, 316, 121, 618, -264, -594, -185, -526, -168],
 [-357, -746, -645, 282, 205, 402, 646, 370, -633, 393, -537, 119],
 [-386, 1020, 169, 595, 526, -590, 117, 29, -326, -489, 582, -165],
 [452, 259, 143, -547, -769, -276, -908, -422, 176, -547, -29, 203],
 [1154, -523, 390, 626, -707, -73, -764, 287, -417, -138, 1066, 443],
 [336, -522, -70, 121, 6, 127, -48, -66, 253, 35, -250, 42],
 [43, -1060, -565, -180, -584, 772, 327, -29, -413, 553, -395, -28],
 [956, 31, 503, 435, -777, -379, -837, -296, -23, -557, 908, -158],
 [1240, -430, 228, -5, -1020, 178, -1049, -320, 49, -231, 736, 534],
 [-106, -80, -474, -200, 901, 488, 189, -47, 507, 256, -555, 972],
 [530, 93, 1331, -82, 942, 71, -35, 937, 1245, 944, 995, 446]]?

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[User]
Determine the rank of the following matrix:
[[263, -14, 265, -69, -196, 204, -404, -168, -210, -50, -126, 167],
 [-136, 593, 111, -772, 30, -105, 35, 172, 433, 21, -241, -8],
 [-458, 222, 97, 49, -104, -96, 110, -304, 132, 61, 156, -401],
 [485, -440, 472, -27, 169, -232, 153, -886, -789, -118, -366, 369],
 [92, 611, -446, -626, -368, -712, 137, 638, 157, -77, -675, 146],
 [231, 8, 173, -582, 542, -311, 694, -178, 8, -33, -340, 300],
 [-414, 531, -335, -279, -175, -137, -66, 542, 540, 65, 32, -267],
 [109, 1032, -53, -904, -577, -246, 87, 718, 559, -47, -652, 42],
 [-613, -42, 509, 507, -321, 503, -809, -904, -153, 96, 610, -593],
 [167, -172, -566, 275, -262, -609, 34, 302, -396, -87, -315, 145],
 [173, -31, 50, 242, -664, -554, -251, -530, -775, -130, -473, 12],
 [-718, 275, -394, -176, 91, -489, -124, 22, 228, 84, 142, -374]]

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[User]
Calculate the rank of matrix A where A =
[[-101, -488, 489, -265, -479, -308, 1155, 288, 1311, -586, -245, 532],
 [406, 1013, 600, 283, 1097, 969, -319, 291, -802, -126, 1338, -950],
 [-491, -1603, 635, -592, -377, -1121, 1248, 30, 1497, 357, -593, 1057],
 [-413, 103, 30, 27, 119, 406, -260, -145, -429, 84, 250, 50],
 [-2, -930, -562, -689, -352, -873, 33, -115, 747, 136, -1110, 345],
 [375, -289, 464, -29, 707, -484, 49, 114, -138, 832, 406, -249],
 [280, 270, 610, 257, 923, 253, -184, 89, -584, 439, 932, -533],
 [87, 47, 177, 386, -169, 37, 185, -59, 122, -297, 63, 44],
 [358, -7, -713, -675, -42, -361, -284, 186, 205, 78, -643, -227],
 [-1008, -290, -436, 179, -911, 285, -169, -528, -107, -327, -568, 792],
 [1185, 775, -817, -901, 803, 216, -767, 515, 8, -537, -213, -1350],
 [969, -23, -1011, -104, -252, -979, -521, 16, 14, 372, -985, -367]]

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[User]
Compute the rank of the given 12x12 matrix:
[[98, -471, -77, -657, 125, 367, -63, 349, 762, -82, -307, 305],
 [959, 460, 50, -272, 378, -403, 286, 59, 337, -880, 1132, -674],
 [58, 1087, -411, 239, 1057, -101, -1054, -126, -910, -334, 711, 411],
 [873, 581, -837, -598, 1340, -36, -496, 165, 784, -938, 962, 604],
 [-119, -245, 1199, -275, -919, 236, 796, 65, -511, 558, -583, -825],
 [-1012, -680, -489, 328, 32, 16, -368, -262, 1078, 507, -639, 289],
 [-76, 19, -754, -18, 492, 295, -898, 290, -291, -151, -151, 1157],
 [-293, -894, -113, -245, -609, 539, 79, 394, 98, 433, -1068, 802],
 [-283, 271, -324, 239, 297, 82, -333, -174, -353, 255, -182, 576],
 [321, 389, -575, 123, 483, -80, -359, 26, -261, -358, 397, 579],
 [-228, 294, 160, -443, 329, 530, 217, -191, -135, 728, -731, 681],
 [-1028, 173, 465, -684, 806, 581, -248, -430, 899, 1038, -866, 34]]

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[User]
Find the rank of the matrix:
[[-499, 658, -1047, -281, 299, 593, -561, 247, 1701, -293, 750, 292],
 [1156, 674, 34, -259, 261, 90, 402, -1303, 436, 1107, -299, -42],
 [297, 1008, 390, -10, 205, 576, 151, 1271, -4, -296, -426, 55],
 [664, -48, 149, 561, 83, 142, -830, -1227, 801, 554, 137, 728],
 [255, -414, -249, -227, 159, -652, 230, 649, 9, 1441, -664, -1242],
 [50, -1203, -125, 199, -627, -254, 35, 680, 507, 985, 587, -117],
 [204, 1416, 274, 527, -289, 71, 1024, 1106, -279, -412, -221, -224],
 [-503, 524, 321, -218, 405, -761, 245, 380, -943, -1051, -442, -1085],
 [378, 188, 430, 558, -692, -720, 1281, 214, 319, 858, 574, -658],
 [464, -515, 763, -850, -366, 553, 114, 358, -948, -998, 224, 655],
 [-997, -1196, 262, 433, 719, 47, -301, -773, -1600, 346, -1028, 219],
 [337, 137, 373, -492, 1234, 15, 283, -1308, -369, 1123, -785, -542]]

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[User]
Determine the rank of the following matrix:
[[-9, -153, 234, -207, 72, -198, 216, -81, 0, -171, 189, -27],
 [18, 306, -468, 414, -144, 396, -432, 162, 0, 342, -378, 54],
 [24, 408, -624, 552, -192, 528, -576, 216, 0, 456, -504, 72],
 [10, 170, -260, 230, -80, 220, -240, 90, 0, 190, -210, 30],
 [-15, -255, 390, -345, 120, -330, 360, -135, 0, -285, 315, -45],
 [-19, -323, 494, -437, 152, -418, 456, -171, 0, -361, 399, -57],
 [13, 221, -338, 299, -104, 286, -312, 117, 0, 247, -273, 39],
 [14, 238, -364, 322, -112, 308, -336, 126, 0, 266, -294, 42],
 [24, 408, -624, 552, -192, 528, -576, 216, 0, 456, -504, 72],
 [-8, -136, 208, -184, 64, -176, 192, -72, 0, -152, 168, -24],
 [9, 153, -234, 207, -72, 198, -216, 81, 0, 171, -189, 27],
 [-21, -357, 546, -483, 168, -462, 504, -189, 0, -399, 441, -63]]

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[User]
Compute the rank of the given 12x12 matrix:
[[204, 485, -295, -449, 431, 340, 6, -26, 371, 444, 261, -98],
 [-24, 150, -308, -616, 360, 126, 40, 246, 726, 314, 792, 90],
 [228, 214, -422, -400, 268, 95, -126, 155, 490, 207, 567, -187],
 [-208, -299, 235, 215, -229, -181, 60, 25, -177, -225, -130, 155],
 [-432, -417, 479, 283, -297, -201, 200, -3, -279, -257, -276, 375],
 [-432, -284, 183, -261, 19, -97, 218, 221, 370, 13, 441, 431],
 [-104, 563, -187, -875, 697, 511, 264, 65, 777, 747, 592, 283],
 [-552, -376, 442, -10, -130, -128, 296, 100, 44, -92, 48, 532],
 [-152, -266, 376, 500, -348, -166, 48, -150, -562, -306, -596, 86],
 [752, 159, -514, 406, -182, -126, -526, -106, -361, -272, -235, -822],
 [764, 331, -625, 133, 29, 14, -482, -68, -99, -58, -7, -784],
 [228, -577, -235, 463, -529, -578, -402, 232, -163, -678, 213, -404]]

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[User]
Find the rank of the matrix:
[[-156, -48, 156, -192, 144, 312, -300, 180, 192, -240, 216, -204],
 [-65, -20, 65, -80, 60, 130, -125, 75, 80, -100, 90, -85],
 [208, 64, -208, 256, -192, -416, 400, -240, -256, 320, -288, 272],
 [130, 40, -130, 160, -120, -260, 250, -150, -160, 200, -180, 170],
 [286, 88, -286, 352, -264, -572, 550, -330, -352, 440, -396, 374],
 [273, 84, -273, 336, -252, -546, 525, -315, -336, 420, -378, 357],
 [-91, -28, 91, -112, 84, 182, -175, 105, 112, -140, 126, -119],
 [338, 104, -338, 416, -312, -676, 650, -390, -416, 520, -468, 442],
 [299, 92, -299, 368, -276, -598, 575, -345, -368, 460, -414, 391],
 [26, 8, -26, 32, -24, -52, 50, -30, -32, 40, -36, 34],
 [130, 40, -130, 160, -120, -260, 250, -150, -160, 200, -180, 170],
 [-104, -32, 104, -128, 96, 208, -200, 120, 128, -160, 144, -136]]

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[User]
What is the rank of the matrix:
[[-961, -1062, 963, -294, -65, 183, -425, 650, 933, 447, 161, -76],
 [-838, -1189, 723, -652, -66, -21, -162, 369, 487, -77, -360, 138],
 [-271, 643, -306, -605, 992, 705, 1199, -125, -895, 827, -488, 79],
 [289, 16, -63, -45, 212, -260, -165, 82, 676, 1022, 822, 141],
 [-96, 554, -149, -557, 910, 292, 652, -215, -538, 746, 11, 518],
 [-104, -743, 436, 286, -735, -416, -856, 196, 656, -726, 134, -67],
 [-120, 281, 237, -37, 149, -60, -292, -281, -470, -716, -53, 673],
 [-655, -385, 873, 164, -306, 6, -852, 123, 70, -1073, -63, 435],
 [763, 459, -564, 250, -3, -331, 14, -216, 145, 444, 523, -38],
 [138, -225, -427, -650, 430, -8, 793, 40, 142, 1115, -98, -176],
 [-117, -484, 432, -255, 75, -406, -574, 114, 752, 403, 652, 526],
 [272, 1233, -257, 660, 160, 385, 54, -303, -843, -437, 58, 46]]?

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[User]
What is the rank of the matrix:
[[-887, -873, 780, 934, -442, -58, -217, 865, 56, -1024, 813, 409],
 [1303, -501, 120, -359, 1054, 466, -839, -1241, -360, 718, -318, 11],
 [575, 916, 496, -809, 107, 344, 31, 187, 721, 853, -469, 462],
 [78, -860, 720, 1093, -209, 223, -110, -292, -968, -410, -1120, -752],
 [288, -605, -189, 1087, 86, -140, 306, -763, -673, 129, -833, -789],
 [-262, -1288, 656, -114, 1395, 352, -1039, -832, 477, 1147, -931, -599],
 [-131, 326, 900, -929, -613, -464, -1721, 533, -882, 748, 1466, 1517],
 [927, 140, -386, 434, 1169, 760, 1151, -1697, -995, -380, 31, -131],
 [457, -92, 1201, -161, -101, 718, -914, 204, 109, 1468, -1329, -378],
 [-633, 110, 1607, 363, -177, -207, -425, 608, 16, 687, 405, 933],
 [1827, 644, -174, -558, -569, 151, -1074, 4, -1125, 834, 638, 181],
 [-1141, -520, -1203, 545, -1044, -350, 45, 490, 165, 237, -754, -1307]]?

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[User]
Compute the rank of the given 12x12 matrix:
[[-423, -571, -12, 1274, 81, 79, -126, -1519, -155, 281, 693, -124],
 [691, 299, -148, -566, -107, 760, -208, 1086, 455, 171, -1424, 242],
 [-926, -781, 370, 17, 9, -951, -132, -331, -788, -1111, 1440, -864],
 [-476, -513, -315, 1334, 1396, -832, 88, -1455, -192, 202, 511, -1369],
 [-24, -1005, 710, -228, 148, -644, -472, 494, 122, -1323, -284, -552],
 [68, 1130, -341, -333, 13, -388, 286, 244, -371, 690, 352, 291],
 [132, -266, -259, 830, 1074, -289, 108, -1034, 613, 157, 286, -1126],
 [590, 611, -1499, 540, 28, 2232, 556, -908, 573, 1725, 73, -211],
 [-789, -229, 440, 928, 479, -1534, -596, -485, -1166, -162, 84, -224],
 [-343, -30, -580, 785, 184, 121, -87, -1269, -362, 278, 1716, -1158],
 [-336, 538, 45, 1021, 31, -1072, -741, -543, -1344, 655, 296, 204],
 [-251, -930, 128, -206, -417, 500, 111, -240, 154, -830, 862, -396]]

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[User]
What is the rank of the matrix:
[[1799, 275, -1035, 1609, 553, -908, 193, 1106, 848, 1060, -1366, -264],
 [-914, -475, 583, 199, 83, -1430, 992, 825, 767, 180, 1404, -271],
 [-1376, 13, 918, -933, -893, 793, -108, -640, 311, -201, 824, 1589],
 [-86, -13, 518, 235, 619, 553, 835, -302, -289, -927, 257, -1054],
 [99, -651, 60, -350, -320, 1090, -454, -1379, -367, 60, -268, 720],
 [698, 1062, -464, 383, 104, 722, -877, 289, 40, 563, -1132, 336],
 [-711, 312, 260, 1057, 430, -960, 79, 259, 727, 371, 825, -96],
 [-488, -702, 926, -228, -486, 847, -14, -310, 356, 338, 520, 555],
 [1169, -1077, -149, 374, 554, 155, 503, -182, -779, -727, -439, -1941],
 [1146, -1060, -584, -591, -245, -300, 128, 210, -895, -661, -635, -1136],
 [394, -959, -504, -657, -956, -335, -185, -452, 62, 223, -363, 1253],
 [530, 173, 52, 318, -272, -15, -462, 1220, 454, 738, -435, -123]]?

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[User]
Determine the rank of the following matrix:
[[-612, 67, 98, 424, -529, -836, -55, 387, -301, -42, -916, 283],
 [706, -426, -429, -107, 427, 407, -301, -642, 435, -654, 1123, 232],
 [-941, 913, 154, 396, -635, -889, 682, 773, 349, 1680, -1163, -888],
 [117, 324, 36, -15, -264, 606, 453, 537, 240, 594, 84, -777],
 [522, -599, -120, -144, 331, 142, -391, -339, -215, -1198, 516, 731],
 [-315, 124, -111, 410, -469, -543, 91, 358, 134, 140, -430, -57],
 [-542, 445, 121, 19, 18, -463, 146, -123, 124, 968, -461, -305],
 [337, -63, -111, 115, -266, 198, 272, 586, 161, -302, 131, -178],
 [-55, 246, 251, -105, -141, 66, 427, 635, -130, 300, -405, -321],
 [-221, 22, -275, 357, -143, -854, -65, -101, 356, 44, -153, 185],
 [434, 425, -666, 495, -495, -239, 837, 836, 1441, 718, 513, -1063],
 [332, -329, -287, 165, -36, -73, -169, -64, 177, -676, 384, 307]]

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