messages listlengths 1 1 | ground_truth stringclasses 11
values | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the rank of the matrix:\n[[-952, 695, 191, -64, -174, 457, 518, 1373, -102, -377, -294, 921],\n [122, 353, -354, 724, -856, 206, -93, -177, 543, -532, 1081, -578],\n [-330, -337, 1006, -369, 271, 933, 58, 1440, 122, 1296, -1348, 23],\n [352, -886, 942, -455, 412, 1224, -1124, -941, 3, 60, ... | 10 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-159, -96, 108, -162, -72, -132, -180, 57, -159, 138, -189, 192],\n [-521, 205, 431, 124, 70, -162, -562, -128, -588, 279, 33, -75],\n [381, 168, -268, 310, 136, 284, 428, -99, 389, -310, 375, -376],\n [-318, 219, 277, 194, 98, -50, -338, -135, -371, 139, 138, -173]... | 2 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-209, 1695, -1014, -215, 307, -965, -709, 1263, 621, -306, 143, -1197],\n [-1302, 557, -698, 837, 790, 199, -720, 442, -527, -84, 181, -1521],\n [400, 704, 122, -989, 515, -70, 716, 1884, 702, 208, 38, 1130],\n [910, 153, 52, -672, -771, 662, -9, 190,... | 11 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[115, 17, 309, -447, 236, 41, -166, -546, 49, -80, -200, -158],\n [151, 586, 722, -33, 187, -403, -49, -408, 400, 276, -28, 410],\n [-599, -792, -570, -204, -124, 174, -120, 516, -582, 44, 208, -135],\n [1041, 1292, 544, 807, -163, -123, 405, -220, 914, 84, -404, ... | 4 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-1047, -173, -92, 703, -386, 1022, 696, 663, -584, -88, 248, -174],\n [-296, -13, 1149, -397, 479, -781, -334, 139, -1477, -94, 213, -163],\n [469, -142, -744, 1445, -98, 814, -26, -776, 672, 307, -569, 1214],\n [-13, 705, -860, -367, 27, 14, 154, -10... | 8 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-1147, -244, 205, 756, -112, -357, 45, -293, 173, 224, 757, -308],\n [118, -577, 362, -1193, -506, -446, 384, -1074, 306, -262, -500, 1584],\n [319, 388, -515, -917, -284, 434, -106, 322, -300, 43, -224, 878],\n [173, 54, 237, -505, -111, 391, 632, -6, -... | 7 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-375, -99, 169, 1192, 347, -1270, -522, 569, 623, 540, -255, 937],\n [704, -13, -1169, -464, -172, 205, -681, -200, 305, 394, -559, 202],\n [-111, 749, 198, -1356, -1057, 1353, 887, -105, -868, -661, 600, -645],\n [-230, 870, 275, 1705, -836, -1643, -413, 47, 287... | 8 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[855, -1552, 1175, -96, -539, -167, -192, 579, 122, -325, 613, 570],\n [-1069, -3, 414, -1304, 294, 73, 341, -358, -82, -125, -403, 918],\n [136, -633, 518, -554, 1400, 72, 1120, -243, 783, -631, -110, 566],\n [252, 264, -264, -55, 746, 685, -185, -71, 670, 481, -105... | 7 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-6, -194, 464, -169, -262, -335, 614, -585, 18, 512, -52, -206],\n [11, -958, 52, 718, -40, -1156, 939, -271, -251, 248, -115, -917],\n [178, -587, 516, 65, -512, -851, 951, -772, -119, 601, -325, -570],\n [556, -721, 352, 588, -498, -298, 733, 27, 87, 117, -321,... | 6 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[213, -52, -403, 508, -833, 918, 972, 141, -594, -125, 344, 40],\n [554, -1190, 375, -766, -1057, 461, -15, -257, -397, -584, 356, -704],\n [-889, -189, 1023, -351, 204, -219, -232, -708, 316, 72, 33, 739],\n [32, 797, -1037, 397, -494, -845, -480, 679, -... | 6 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[918, 49, 486, 734, 493, 1181, -641, 461, 83, 613, -55, 401],\n [379, -985, -1173, -851, 680, 336, -299, 451, -761, 5, -1010, -602],\n [91, 416, 822, 729, 1158, 1457, -59, -120, 610, -568, -114, 467],\n [-371, 601, 524, 349, 117, 110, 728, -917, 699, -... | 6 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-781, -927, -159, 219, 582, -285, -526, 315, 677, 129, 730, -504],\n [-29, -13, -240, -20, 173, 53, -367, 364, -285, 339, 350, -614],\n [101, -646, -800, -472, 896, 250, -979, -139, 172, 509, 79, -617],\n [-1134, -30, 937, 393, 963, -467, 547, 518, -226, -857, -2... | 11 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[158, -41, -40, 231, 49, -197, 6, -147, -54, 34, -207, 201],\n [-114, 24, -36, -126, 0, 18, -66, 0, -120, -24, 72, -48],\n [375, -90, -10, 495, 70, -305, 95, -210, 80, 80, -390, 350],\n [-231, 21, -394, -54, 175, -578, -439, -525, -1030, -46, -237, 383],\n [466, -118... | 2 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[540, 534, -328, 168, 4, 42, -654, 138, -668, -646, 156, 428],\n [367, 356, -186, 219, -141, -101, -576, -14, -483, -591, 197, 221],\n [523, 521, -338, 105, 83, 112, -561, 193, -631, -542, 101, 453],\n [374, 391, -340, -204, 442, 425, -51, 425, -374, 17, -170, 510],\... | 2 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-525, -272, -122, -440, 342, -28, 383, 66, 709, 6, -529, 823],\n [-148, -267, -278, 1193, 1710, 113, 1059, 924, 1392, 1079, -66, 316],\n [-79, -32, 11, 226, -129, 10, -138, 89, -222, 29, 380, -340],\n [-537, 546, 346, -1497, -248, -411, 680, -303, 594, 280, -738, 17... | 7 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-474, 320, 682, 498, 938, 745, 452, -233, -103, 826, 1240, -1187],\n [-425, -364, 479, 168, -875, 13, -566, 577, -176, 132, 25, 499],\n [826, 269, -1280, 67, 691, -1087, 563, -126, 775, -211, -820, 719],\n [-177, 304, -948, 147, 1056, 6, 264, 649, -14... | 6 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[282, -766, 712, 160, 676, -892, 557, -1383, 453, 361, -140, -386],\n [-1448, -1197, -831, 1308, -716, 529, 613, -377, 586, 654, 738, -754],\n [155, 858, 318, -856, -41, -708, -408, -684, -392, 471, -282, -1406],\n [637, 657, -123, -345, 148, 925, 3, 533, -1169, -389... | 9 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[286, 646, -618, 425, 666, 125, 184, 173, -115, -358, -588, 495],\n [77, -345, 1109, 685, 649, 1401, -691, 292, 858, -690, 79, -1192],\n [-215, -657, 317, -1461, 407, -559, -122, -1415, -28, 1743, 1916, 55],\n [-769, 500, -426, 1436, -1181, 203, 319, 9... | 10 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[1134, 946, -570, 1810, -228, -216, -53, -324, -226, -2061, -636, 294],\n [401, -555, 654, -1130, 303, 505, 1339, 1434, -312, 864, -169, -281],\n [773, 862, -83, -616, -370, -263, 469, 762, -691, 297, 815, 10],\n [-708, -856, 235, -1061, -40, 986, -670, -... | 9 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-373, 786, -372, -1417, -76, 218, -394, -2210, -159, -174, 298, -183],\n [-958, -847, 1605, -817, -1055, -737, -1051, 138, -1324, 955, -331, -500],\n [589, -78, -971, -178, -134, 472, -582, 33, 152, 293, -35, 1306],\n [-736, 28, 431, -271, 749, 82, -73, -257, 34, 21... | 11 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-1039, 316, 463, 73, -435, 194, -365, -533, -202, -110, -493, -478],\n [-479, 204, 421, -656, 101, 788, -274, -937, -214, 0, 411, -365],\n [-354, 130, 366, 389, 417, -1153, 384, -327, -559, 441, -479, -291],\n [-691, 989, 579, 369, -130, -1158, -82, -892... | 7 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[32, 27, -1514, -283, 454, -48, -83, 435, -454, 425, 939, -543],\n [-216, 1216, 224, 260, -1580, -442, 234, 1619, -1207, -473, 1027, -257],\n [-1528, 1232, 486, -363, -300, 276, 916, 434, 365, -384, -281, -296],\n [85, 315, 656, -89, -128, -420, 154, 624, -12, 195... | 11 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-6, 2, 17, 9, 0, -22, 1, -22, -15, -25, 25, 17],\n [-132, 44, 374, 198, 0, -484, 22, -484, -330, -550, 550, 374],\n [-138, 46, 391, 207, 0, -506, 23, -506, -345, -575, 575, 391],\n [-12, 4, 34, 18, 0, -44, 2, -44, -30, -50, 50, 34],\n [108, -36, -306, -1... | 1 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-612, 393, -276, -1453, -535, 401, 894, -158, 1376, 360, -1033, 756],\n [-691, -289, 1348, -248, 1813, -19, -66, -169, 208, -425, 672, -229],\n [-54, 145, -1092, -424, -1001, 754, 280, 386, -249, 563, 478, -1342],\n [1020, -691, 567, -441, -726, 175, -9,... | 10 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-390, -534, 618, 544, 222, 534, 92, 384, -726, -396, 714, -880],\n [-406, -118, 325, -375, -282, 12, -200, -47, -425, -169, 186, -178],\n [468, -565, -382, 141, -992, -120, 438, -197, 2178, 616, -1009, 1003],\n [-1057, 610, -179, 36, 507, 412, -506, 236, -706, 57, 4... | 6 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[107, -560, -450, -1262, 1613, -798, -875, 464, 1300, 426, -159, 606],\n [925, 573, -770, -208, -838, 1035, 185, 564, -211, 175, -834, -378],\n [363, 839, 243, 48, 381, -1509, 69, -1042, -1204, 504, 288, 1283],\n [-77, 22, 30, 421, 930, 415, -189, -127... | 10 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[584, -239, -242, 310, 1053, 677, -336, 630, -500, 1228, -116, -591],\n [-342, -127, 466, -43, 841, -255, 209, 45, -94, 571, -589, 212],\n [-688, -45, 551, -57, -845, -796, 557, -897, 351, -1084, 132, 803],\n [267, 39, -202, 5, 219, 267, -185, 278, -13... | 4 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[1332, 90, -1050, -2659, 1305, -1143, 170, -469, 491, 1764, -39, -1045],\n [58, -1090, -332, -1688, 552, 414, 1627, 708, 230, 73, 391, -942],\n [807, 681, -1354, -1009, 1042, -446, -380, -1355, 696, 230, -498, -130],\n [151, -515, -657, -64, 800, -320, -80, 154, 1... | 11 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-188, 300, -236, -409, -135, 554, 458, 382, 71, -433, -627, 413],\n [-194, -265, 239, 510, 230, -511, -467, -282, 112, 355, 334, -383],\n [-333, 753, 598, 263, 745, 162, -503, 520, -360, 291, 368, -524],\n [404, -247, 271, 214, 132, -173, 13, -412, 6, 39, 510, 361],... | 4 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-648, -440, -4, 226, -406, -355, 391, -165, 167, -232, 200, 253],\n [682, 628, -162, -763, -125, 370, 68, -489, 369, 197, 231, 110],\n [759, 1160, -256, 126, 635, 613, 116, 530, -14, 721, -668, -738],\n [-527, -106, -451, -698, -1021, 122, 840, 447, 1... | 6 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[1439, -151, -216, 678, -137, 53, -165, 1060, 563, -583, 784, -209],\n [166, 247, -637, 605, -49, -118, -611, -860, -1038, 472, -736, -325],\n [-836, -304, 381, -476, 313, 252, -6, -488, -23, 192, -302, 151],\n [-486, 283, 634, -176, -343, 55, -515, -369, -714, -284,... | 6 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[103, -1169, -265, 96, 345, 180, 830, -339, 408, -59, -509, 248],\n [212, -225, 74, 689, 206, 387, 575, -511, 344, -125, -575, 617],\n [256, -1324, -661, -844, 230, 186, 860, -141, 221, -59, -1, -744],\n [-955, 595, 686, 1262, -893, -778, 90, -12, -647... | 5 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-151, 140, 101, -223, 103, -229, 56, 100, 84, -112, 271, -38],\n [-38, -299, -352, -266, -94, -323, -10, 342, -538, -931, -181, 623],\n [270, 586, 391, -286, 272, -101, 192, -402, 636, 950, 320, -718],\n [518, -144, -333, -200, -78, -93, 62, -107, -324, -176, -50... | 4 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-349, -360, 465, -242, -407, -408, 1126, 218, -35, -1369, 641, 329],\n [-113, -74, 1627, -264, -735, -319, -189, 867, -887, 1170, 672, -569],\n [115, -138, -630, 790, 833, -311, -48, -1385, -42, -1186, -369, 881],\n [-54, 38, 1165, -499, -620, -1238, ... | 9 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-425, 805, -394, 1255, -543, -50, -402, 484, -955, -311, -2102, 406],\n [66, 356, 1019, 698, -891, -1552, 92, 398, -1768, 47, -351, 239],\n [65, -87, 817, -187, 701, 892, 1175, -396, 88, 963, -147, -339],\n [-1228, 339, -513, 439, 369, 936, -94, -1806... | 10 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-52, 22, -38, -34, 36, -34, 48, 8, 28, -22, -14, -6],\n [390, -165, 285, 255, -270, 255, -360, -60, -210, 165, 105, 45],\n [182, -77, 133, 119, -126, 119, -168, -28, -98, 77, 49, 21],\n [520, -220, 380, 340, -360, 340, -480, -80, -280, 220, 140, 60],\... | 1 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[577, 639, -46, -207, -809, -1056, 767, -68, 235, 1502, -118, 1295],\n [-1420, -214, 1379, 438, 923, -813, 310, 591, 98, 574, 170, -132],\n [115, 318, 59, 282, -335, -304, 292, -253, 247, -168, -170, 553],\n [2, 955, -547, -10, -201, -786, 1050, -176, -44... | 11 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-160, 250, -30, -260, -150, 110, -40, 250, 170, -20, -150, -240],\n [-240, 375, -45, -390, -225, 165, -60, 375, 255, -30, -225, -360],\n [-48, 75, -9, -78, -45, 33, -12, 75, 51, -6, -45, -72],\n [-64, 100, -12, -104, -60, 44, -16, 100, 68, -8, -60, -9... | 1 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-544, 260, 45, -308, -85, -154, 483, 326, -644, 383, 140, 361],\n [-531, 516, -351, -387, 279, 120, 321, 261, -474, -186, 489, 825],\n [1082, 165, 478, 998, -14, 111, -866, -685, 745, 203, -231, -146],\n [342, 108, 437, 542, -603, -94, -481, -246, 162, 8... | 5 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-756, 573, 22, 557, 149, -906, -632, 235, 1023, -1423, -880, -617],\n [186, 519, 155, 545, 822, -493, 861, 529, -450, 385, -138, 1253],\n [420, 68, 287, 636, 585, 331, 658, 481, -1000, 742, 96, 1503],\n [-1043, -1058, 560, 336, -163, 1656, -417, -1100, 4... | 6 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-126, 28, 154, 42, 182, 196, 56, -350, 28, 0, 266, 126],\n [45, -10, -55, -15, -65, -70, -20, 125, -10, 0, -95, -45],\n [-198, 44, 242, 66, 286, 308, 88, -550, 44, 0, 418, 198],\n [-18, 4, 22, 6, 26, 28, 8, -50, 4, 0, 38, 18],\n [-45, 10, 55, 15, 65, ... | 1 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[197, 519, 369, 154, -4, 132, 835, -212, 545, 91, -471, 302],\n [-64, 188, 54, 135, 13, 26, 192, 23, 150, -46, -87, -32],\n [691, -109, 693, -179, 453, 404, 445, -447, 197, -3, -18, 726],\n [-307, -4, -441, -37, -371, -289, -273, 190, -153, 134, -63, -... | 3 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[548, -458, -484, 894, -120, 501, 670, 90, -335, -305, 564, -950],\n [-965, -1127, 805, -482, -529, 426, 43, 10, 322, 120, 1012, -879],\n [1072, 1172, 433, -2140, -1583, 534, 273, -947, 691, -18, 447, -226],\n [-468, 371, -513, -2189, -1959, 706, 737, -569, 856, -... | 11 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-104, 52, 650, 182, -416, 624, -364, -338, -286, -494, -338, 312],\n [-61, 23, 410, 183, -284, 541, -296, -152, -99, -396, -367, 228],\n [54, -60, -211, 241, 40, 446, -174, 379, 451, -211, -567, 36],\n [-78, 48, 453, 45, -264, 258, -174, -309, -297, -... | 2 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[504, 5, -11, -123, 622, -1015, -350, -11, -1096, -753, 330, 1394],\n [161, -206, -570, -473, -130, -446, -63, -1272, -305, -934, 142, 1235],\n [900, -835, -590, 245, -526, -251, 810, -669, -205, -1168, 456, -365],\n [-429, 1224, -667, 957, -711, 971, 880, 66, 1248, ... | 11 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-116, -481, -135, -602, -403, -452, -33, -600, -244, -203, -168, 44],\n [20, 257, 589, -5, -518, -379, 158, 234, 499, 666, 116, -421],\n [168, 706, 226, 866, 552, 630, 56, 876, 378, 328, 248, -86],\n [44, 119, -155, 268, 367, 338, -43, 180, -74, -153,... | 2 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[24, -500, 362, 34, -226, -54, 0, -426, -336, -410, 34, -78],\n [614, -81, 498, 163, -333, 12, -509, -67, 251, -167, -769, 417],\n [-134, -213, 211, 117, 503, 177, -844, 421, 518, -288, -263, 980],\n [926, 249, 664, 275, -656, -200, -364, -40, 265, 126, -1244, 230... | 4 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[1112, 1, -211, -459, -511, 525, -1245, -480, 253, -231, 510, 1720],\n [-672, 53, -806, 353, 316, 121, 618, -264, -594, -185, -526, -168],\n [-357, -746, -645, 282, 205, 402, 646, 370, -633, 393, -537, 119],\n [-386, 1020, 169, 595, 526, -590, 117, 29, -326, -489,... | 7 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[263, -14, 265, -69, -196, 204, -404, -168, -210, -50, -126, 167],\n [-136, 593, 111, -772, 30, -105, 35, 172, 433, 21, -241, -8],\n [-458, 222, 97, 49, -104, -96, 110, -304, 132, 61, 156, -401],\n [485, -440, 472, -27, 169, -232, 153, -886, -789, -118... | 6 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-101, -488, 489, -265, -479, -308, 1155, 288, 1311, -586, -245, 532],\n [406, 1013, 600, 283, 1097, 969, -319, 291, -802, -126, 1338, -950],\n [-491, -1603, 635, -592, -377, -1121, 1248, 30, 1497, 357, -593, 1057],\n [-413, 103, 30, 27, 119, 406, -260, -... | 6 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[98, -471, -77, -657, 125, 367, -63, 349, 762, -82, -307, 305],\n [959, 460, 50, -272, 378, -403, 286, 59, 337, -880, 1132, -674],\n [58, 1087, -411, 239, 1057, -101, -1054, -126, -910, -334, 711, 411],\n [873, 581, -837, -598, 1340, -36, -496, 165, 78... | 6 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-499, 658, -1047, -281, 299, 593, -561, 247, 1701, -293, 750, 292],\n [1156, 674, 34, -259, 261, 90, 402, -1303, 436, 1107, -299, -42],\n [297, 1008, 390, -10, 205, 576, 151, 1271, -4, -296, -426, 55],\n [664, -48, 149, 561, 83, 142, -830, -1227, 801, 554, 137, 728]... | 10 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-9, -153, 234, -207, 72, -198, 216, -81, 0, -171, 189, -27],\n [18, 306, -468, 414, -144, 396, -432, 162, 0, 342, -378, 54],\n [24, 408, -624, 552, -192, 528, -576, 216, 0, 456, -504, 72],\n [10, 170, -260, 230, -80, 220, -240, 90, 0, 190, -210, 30],\... | 1 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[204, 485, -295, -449, 431, 340, 6, -26, 371, 444, 261, -98],\n [-24, 150, -308, -616, 360, 126, 40, 246, 726, 314, 792, 90],\n [228, 214, -422, -400, 268, 95, -126, 155, 490, 207, 567, -187],\n [-208, -299, 235, 215, -229, -181, 60, 25, -177, -225, -1... | 3 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-156, -48, 156, -192, 144, 312, -300, 180, 192, -240, 216, -204],\n [-65, -20, 65, -80, 60, 130, -125, 75, 80, -100, 90, -85],\n [208, 64, -208, 256, -192, -416, 400, -240, -256, 320, -288, 272],\n [130, 40, -130, 160, -120, -260, 250, -150, -160, 200, -180, 170],\n... | 1 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-961, -1062, 963, -294, -65, 183, -425, 650, 933, 447, 161, -76],\n [-838, -1189, 723, -652, -66, -21, -162, 369, 487, -77, -360, 138],\n [-271, 643, -306, -605, 992, 705, 1199, -125, -895, 827, -488, 79],\n [289, 16, -63, -45, 212, -260, -165, 82, 676, 1022, 822... | 5 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-887, -873, 780, 934, -442, -58, -217, 865, 56, -1024, 813, 409],\n [1303, -501, 120, -359, 1054, 466, -839, -1241, -360, 718, -318, 11],\n [575, 916, 496, -809, 107, 344, 31, 187, 721, 853, -469, 462],\n [78, -860, 720, 1093, -209, 223, -110, -292, -968, -410, -... | 11 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-423, -571, -12, 1274, 81, 79, -126, -1519, -155, 281, 693, -124],\n [691, 299, -148, -566, -107, 760, -208, 1086, 455, 171, -1424, 242],\n [-926, -781, 370, 17, 9, -951, -132, -331, -788, -1111, 1440, -864],\n [-476, -513, -315, 1334, 1396, -832, 88,... | 8 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[1799, 275, -1035, 1609, 553, -908, 193, 1106, 848, 1060, -1366, -264],\n [-914, -475, 583, 199, 83, -1430, 992, 825, 767, 180, 1404, -271],\n [-1376, 13, 918, -933, -893, 793, -108, -640, 311, -201, 824, 1589],\n [-86, -13, 518, 235, 619, 553, 835, -302, -289, -9... | 8 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-612, 67, 98, 424, -529, -836, -55, 387, -301, -42, -916, 283],\n [706, -426, -429, -107, 427, 407, -301, -642, 435, -654, 1123, 232],\n [-941, 913, 154, 396, -635, -889, 682, 773, 349, 1680, -1163, -888],\n [117, 324, 36, -15, -264, 606, 453, 537, 24... | 5 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[118, 1221, -2785, -1404, 477, 358, -1875, 209, 13, 1137, 292, 1191],\n [359, -483, 940, 323, -12, -33, 1125, 1445, 56, 784, -72, -991],\n [51, -264, 982, 183, -851, 8, 164, 1128, -273, -46, -179, -441],\n [-46, -284, 809, -318, 864, 60, 355, -815, 521, -1904, -744, ... | 9 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-184, -985, 1062, -610, -1048, 358, 620, 537, 529, 592, -1298, 840],\n [-790, -136, 224, 22, 436, -471, 503, -16, 826, 530, -378, -1111],\n [-663, 489, 863, -217, -38, 38, 367, 315, 920, 651, -29, -406],\n [451, -90, -209, 347, -752, 480, -5, -102, -339, -607, -1... | 6 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-622, 176, -253, 239, 113, -279, 141, 335, -575, 144, 561, 755],\n [-148, -160, -206, 80, 36, -4, -148, 72, -52, 206, -74, 146],\n [18, 144, 115, -24, -10, -38, 130, -4, -46, -131, 137, 3],\n [-350, 112, -133, 133, 63, -161, 91, 189, -329, 70, 329, 427],... | 2 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-465, -667, -318, -1012, -1033, -802, 105, -610, 18, -363, -1465, 923],\n [418, 1321, 742, -555, 991, -835, 159, 127, -668, 521, 121, -267],\n [262, 26, -257, 946, 641, 644, -175, -359, 653, -680, -650, 1438],\n [1068, 65, -67, -949, -1, -205, 309, 37... | 11 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-411, 814, 278, -444, 956, 830, 182, -311, 1247, 353, -482, -96],\n [-1139, 48, 1113, 230, 552, 612, 193, -642, 508, 204, -1387, -1140],\n [224, -204, 807, 183, 294, -111, 466, -15, -60, -426, -366, -566],\n [642, -141, -187, 12, 251, -465, -401, -307... | 8 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[1677, -907, 366, 1582, -1566, -1476, -972, -822, 664, 1392, 512, -887],\n [1002, -345, 71, 749, -914, -403, 1252, 460, -1385, 585, -351, 1108],\n [2036, -1482, 954, 498, 1328, 2044, -624, 1086, -1592, 66, 188, -1101],\n [-1448, 731, -553, -413, -1053, -7... | 11 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-40, 32, 36, 38, 10, -10, -30, -42, 22, 24, 22, 28],\n [-420, 336, 378, 399, 105, -105, -315, -441, 231, 252, 231, 294],\n [-380, 304, 342, 361, 95, -95, -285, -399, 209, 228, 209, 266],\n [320, -256, -288, -304, -80, 80, 240, 336, -176, -192, -176, -... | 1 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-795, 380, 510, -571, 421, -840, 8, 449, -428, 503, -665, 828],\n [470, 455, 440, 261, 902, -259, 887, 96, 480, -631, -606, 560],\n [537, -554, 254, 1070, 302, 670, -36, -840, 46, 833, 250, 269],\n [659, -574, 70, 179, 431, -437, 31, 125, 578, -198, -... | 7 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-289, 187, -51, 425, 68, 306, 340, -68, -102, -425, 442, 68],\n [-51, 33, -9, 75, 12, 54, 60, -12, -18, -75, 78, 12],\n [374, -242, 66, -550, -88, -396, -440, 88, 132, 550, -572, -88],\n [85, -55, 15, -125, -20, -90, -100, 20, 30, 125, -130, -20],\n [-136, 88, -24, ... | 1 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-198, -543, 313, -376, 951, -552, -838, -118, -806, 114, -172, 1034],\n [-218, 33, -203, -225, 325, 12, -665, -484, -95, 306, -190, 65],\n [10, -478, 734, -289, -22, -490, 187, 528, -317, -364, -336, 329],\n [11, -74, -117, 98, 658, -8, -150, 151, -404, ... | 4 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[69, 119, -518, 320, -6, 205, -723, -156, 196, 342, 238, 109],\n [163, 803, 152, -176, 190, 330, -396, -543, 1281, 543, 11, 75],\n [-514, -206, 50, -221, -736, -54, -512, -422, -200, 134, 689, 150],\n [948, 554, 202, 230, 1080, 37, 959, 719, 451, 23, -... | 4 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[87, -786, 209, -848, 570, 320, -219, 473, 86, 348, 216, 401],\n [-25, 629, 348, 222, 5, 182, -216, 237, -111, -424, 349, -807],\n [-111, -366, 379, -372, -428, -452, -447, 421, -1264, 235, -460, -160],\n [-127, -423, 72, -406, 175, -126, -174, 77, -259, ... | 5 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-842, -1090, -42, -345, 305, -905, -266, 551, -1034, -440, -19, 228],\n [768, 281, -81, -210, 347, -748, 127, -639, -187, -1014, -236, 644],\n [-1027, -825, -519, -363, -580, 394, -770, 760, -313, 439, -10, -550],\n [305, -240, 765, -45, -344, -495, -428, -362, 390,... | 6 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[375, -150, 105, -270, -90, 195, 105, -240, 375, -300, 300, -150],\n [-400, 160, -112, 288, 96, -208, -112, 256, -400, 320, -320, 160],\n [-250, 100, -70, 180, 60, -130, -70, 160, -250, 200, -200, 100],\n [-600, 240, -168, 432, 144, -312, -168, 384, -600, 480, -48... | 1 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-183, -460, -471, 1213, -25, -878, 363, -591, 172, 84, 574, -523],\n [545, -95, -302, -26, -1209, 295, -385, 14, -113, 747, 640, 422],\n [812, -655, -868, 1246, 189, -984, 678, -702, -268, 262, 372, -558],\n [-667, -472, -172, -257, 1836, 478, -1189, ... | 7 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[105, -2, -590, 735, 445, -430, -29, -754, 226, -375, 121, 230],\n [-195, 668, 496, -1071, -192, 463, 353, 353, 126, -108, 228, 512],\n [167, 956, -64, -613, 40, 5, 247, -281, 462, -584, 612, 1064],\n [-362, -858, 38, 604, 167, 47, -68, 85, -396, 467, -633, -966],... | 3 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[663, 166, 201, 256, 106, -68, 248, -512, -102, -439, 104, -431],\n [-3, 708, 478, 139, 550, -129, 1567, -850, 1066, -1131, -387, -1346],\n [791, -349, -66, -604, 225, 1721, -1318, 71, 53, 497, 1461, -513],\n [-209, -914, -196, 257, 1557, -80, 725, 130... | 9 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-1166, -249, 1402, 252, -80, 1156, -736, -1596, -1169, -263, 911, 1054],\n [484, 529, -1265, -388, -654, -21, 115, 182, -98, 466, 1102, 102],\n [1316, -907, -1716, 314, 986, -872, -109, -537, -1411, -372, 1092, 5],\n [-835, 214, 894, -2, -437, 878, -2... | 9 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-702, 915, 253, -698, 979, 57, 164, -179, -11, -466, -504, -821],\n [995, -29, -108, -808, -885, -1386, -536, -363, 553, -660, 533, -1681],\n [-120, -195, 857, 7, 598, -462, -82, -228, 512, -658, -1498, -433],\n [1114, 976, 7, -1230, -1125, -470, 257, -5... | 11 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-75, -720, 423, -498, 522, 198, -150, -57, 174, 141, -66, -258],\n [61, 356, -203, 346, -336, -102, 81, 48, 52, -177, 116, 36],\n [3, 488, -299, 138, -198, -126, 88, -1, -394, 119, -122, 358],\n [-33, -748, 451, -330, 396, 198, -143, -22, 440, -55, 88, -440],\n [... | 2 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[128, 368, 416, -112, -400, 224, 384, -240, 80, 256, 96, 336],\n [-128, -368, -416, 112, 400, -224, -384, 240, -80, -256, -96, -336],\n [-120, -345, -390, 105, 375, -210, -360, 225, -75, -240, -90, -315],\n [-48, -138, -156, 42, 150, -84, -144, 90, -30, -96, -36, ... | 1 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-84, 76, -56, -20, 32, -32, 40, -16, 92, 20, 68, -64],\n [-126, 114, -84, -30, 48, -48, 60, -24, 138, 30, 102, -96],\n [147, -133, 98, 35, -56, 56, -70, 28, -161, -35, -119, 112],\n [-294, 266, -196, -70, 112, -112, 140, -56, 322, 70, 238, -224],\n [-210, 190, -1... | 1 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-496, 197, -599, 393, -1, -467, 315, 29, -690, 712, -232, 147],\n [492, -180, 552, -348, 96, 396, -336, -12, 636, -648, 180, -84],\n [-68, 107, -301, 271, 493, -413, -79, 91, -346, 400, -292, 341],\n [387, -75, 252, -93, 486, 21, -366, 63, 291, -258, -75... | 2 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[245, -139, -795, -970, 865, -1628, -659, 111, 192, -925, 882, -1036],\n [99, 215, 121, -280, -480, 2370, 967, -371, -225, 493, -51, 1128],\n [409, 356, -216, -1087, -781, -1288, 388, 1028, -1606, -1887, -92, -710],\n [-43, 343, -324, -650, -1343, 554, 1049, 87, 9... | 10 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[936, 251, 356, -139, 1055, 1250, -464, -1709, 1195, -251, -877, 698],\n [-743, 670, 288, -1552, 566, -263, -82, -1000, -273, -210, -80, -57],\n [-1104, 390, 564, 1015, 385, 658, 832, -224, 565, 926, 423, -738],\n [-439, -55, 1139, -460, 176, 282, -1186, -541, -12... | 10 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-693, 179, -690, -828, 271, -1325, 18, 21, -22, -161, -583, -16],\n [1035, 277, -1360, -1277, -245, -1150, -747, -1807, 1129, 1343, 196, -28],\n [708, 942, -338, 385, -687, 248, -852, -953, -610, 654, -381, 802],\n [-309, 640, 1950, 1356, 275, 1148, 26, 150, -151... | 11 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[245, 417, -1561, -358, -869, 425, 723, 9, 909, -579, 667, 182],\n [-213, 229, 204, -409, -352, -428, -890, 429, 187, 411, -107, -68],\n [856, 183, -261, -586, -988, -331, -1541, 1476, -145, -467, 9, 633],\n [-759, -535, 237, -136, 257, -373, 245, -975, -143, 337, -1... | 5 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[125, 440, -1544, -199, -1081, 57, 261, 721, -621, 1155, -38, 730],\n [282, -713, 1037, -418, 924, 125, 563, -1170, 385, 151, 273, 312],\n [414, 58, 493, 192, 486, -170, -261, 327, -296, -355, -86, -526],\n [-465, -788, 195, 53, 261, 18, -285, 95, 683, -1159, 122, -6... | 7 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[1639, 108, 307, -235, 416, 794, 711, -258, -5, -193, 320, -505],\n [-282, -186, 154, 328, 976, -184, -244, -244, 56, 188, 422, -594],\n [895, -173, 360, -523, -717, 337, 603, 222, 466, -1137, -116, 619],\n [432, -1074, 624, -449, 606, -324, 405, 582, ... | 6 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-311, 463, 1194, 20, -884, 1408, 304, -552, -529, 896, 1188, -993],\n [1338, 404, -641, -1049, -1101, -374, -850, -514, 318, 168, 1530, 544],\n [660, -171, 543, -344, 755, -111, 214, 517, 885, -98, -960, -952],\n [-23, -264, 301, -878, 367, -18, 1373, 759, 928, -... | 10 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[352, -686, -927, -386, -690, 893, 854, -812, -558, 337, 304, -1303],\n [81, 1228, -460, -351, -747, 970, -810, 296, -448, -651, -157, -890],\n [641, -199, 466, 461, 22, 216, 424, -661, 522, 458, -751, 231],\n [631, -1194, 94, -245, 70, 47, 1298, -730, 736, 158, 505,... | 6 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[51, -537, -306, 610, -87, -278, -330, -406, -14, 1107, 199, 440],\n [-35, -574, -984, 389, 34, -383, 285, -208, -489, 147, -44, 1274],\n [168, -1289, -451, -751, -74, 256, -352, 63, 967, 121, -583, -994],\n [-980, 28, 832, -72, -513, 831, 652, 557, 413, -727, 1238, ... | 7 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[575, -219, -950, -582, -744, 162, -388, 714, -58, 158, 898, -64],\n [-21, 119, -429, 102, -192, -201, -194, 319, 153, -111, 249, -355],\n [46, 21, 155, 126, 150, -143, 59, 252, -548, -53, -542, -128],\n [-367, 145, 702, 202, 252, 18, 194, -308, -188, -474, -1228,... | 4 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-596, 326, -1382, -221, 510, -1653, -330, 470, 744, 747, -68, -794],\n [-170, 2384, 316, -795, -1104, -57, -257, 172, 1039, 644, -849, 737],\n [267, -1686, 155, 381, 1262, -321, 232, -165, -484, -61, 689, -953],\n [511, 403, -1205, -108, 1621, 271, 109, -798, 149... | 10 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[349, -1023, -910, 182, 121, -226, -249, 1756, 322, 806, 1328, -1399],\n [610, 57, 318, 5, -160, -1281, 158, 219, -383, -1311, -248, -411],\n [312, -817, -249, -471, -576, -535, 819, 170, -341, -334, 145, -1396],\n [517, -242, -255, -437, 730, -328, 1762, -1061, -303... | 9 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-398, 364, 83, -136, -17, -762, 9, -561, -167, -270, -47, 629],\n [889, -335, 457, -206, 609, 859, -722, 847, 495, 284, -383, 382],\n [462, -1126, 2, -137, 491, -561, 547, 134, 343, -180, 348, -919],\n [276, -219, 359, -112, 772, -201, -241, -123, 401, -... | 7 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-177, -600, -498, 1099, 1179, -604, 466, 886, 165, 471, 573, -289],\n [-20, 1119, 406, 230, 355, 332, 199, 62, 595, -982, -263, -806],\n [255, -916, -302, 85, 126, -1164, -309, 76, 292, 1074, 408, 802],\n [208, -263, -24, 431, 1054, -121, 292, 730, 21... | 6 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-71, -1016, 735, -513, 598, -417, 772, 1761, -140, 891, 426, -1301],\n [-817, -347, 155, 749, -484, -3, 904, 1082, -361, -306, -662, -396],\n [671, 1685, -585, 552, 667, -1326, -93, -1149, -799, -723, -108, 753],\n [-238, 843, -477, 536, -246, -130, 4... | 6 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-372, -192, -36, -12, 144, -804, -84, 204, 252, 468, 300, -816],\n [204, 794, 652, 184, 392, 128, 538, -728, 236, -76, -700, 162],\n [-137, -236, -165, -47, -60, -221, -149, 223, 3, 129, 239, -232],\n [-311, -9, 109, 29, 224, -741, 38, 35, 293, 431, 1... | 2 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-2157, -1054, -423, 679, -486, 34, -46, -913, 261, 267, 876, 860],\n [-1037, -1036, 329, -926, -648, -124, 673, -488, 394, -75, -68, -102],\n [152, -309, -234, 315, -447, 326, -75, -465, -902, -221, -77, 135],\n [-204, -61, -130, 217, -432, 312, -193, 155, -107, -40... | 11 | MATH |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.