messages listlengths 1 1 | ground_truth stringclasses 11
values | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the rank of matrix A where A =\n[[-45, -207, 189, -225, -99, -99, 234, -45, 144, -234, -108, -27],\n [-95, -437, 399, -475, -209, -209, 494, -95, 304, -494, -228, -57],\n [30, 138, -126, 150, 66, 66, -156, 30, -96, 156, 72, 18],\n [25, 115, -105, 125, 55, 55, -130, 25, -80, 130, 60, 15],... | 1 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[434, -209, -127, -1232, -598, -769, -1368, -1100, 823, 1143, 1003, -1770],\n [211, 164, 720, -7, 10, -90, 295, -63, -408, -329, 363, 738],\n [-688, 250, -444, 1204, 576, 542, -342, 1109, -327, -648, 4, -849],\n [-1168, -343, 107, -752, 193, 292, 758, ... | 10 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[262, 42, 45, 23, 720, -288, -255, 78, 28, -325, -153, -381],\n [-414, 477, 1, -242, -881, 48, 88, 284, -119, -216, 65, 681],\n [130, -506, -266, 441, 296, 363, 312, -425, 203, 591, 251, -454],\n [-318, 6, -558, 489, -408, 567, 588, -213, 231, 423, 531, 30],\n [-2... | 3 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-700, -559, -417, 501, 548, -404, -248, -73, 18, 22, 346, -206],\n [-616, -254, -110, 112, 472, -466, 134, 314, 28, 126, 374, -114],\n [-76, 12, -546, -168, 139, 847, 260, 498, 475, -783, 70, 576],\n [-756, -536, -560, 409, 615, -176, -111, 152, 171, -204, 397, -21]... | 3 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[329, 737, -15, -188, -300, 397, -1063, 563, 400, -115, -266, 936],\n [-485, 538, 454, 579, -1114, -1100, 647, 314, -524, -120, 57, -301],\n [181, 38, 38, 117, -579, -278, 254, 377, 542, 453, 71, -119],\n [-1033, 166, 36, 227, -376, -580, 1303, -122, -296... | 5 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-168, -108, -96, -192, 288, 108, -288, -228, -192, 36, -60, -84],\n [-196, -126, -112, -224, 336, 126, -336, -266, -224, 42, -70, -98],\n [182, 117, 104, 208, -312, -117, 312, 247, 208, -39, 65, 91],\n [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n [-84, -54, -... | 1 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[593, 1021, 552, -74, -563, 436, 591, 488, -516, 320, -614, 277],\n [302, 464, 966, -634, 47, 329, 635, 487, -35, -321, -737, -85],\n [167, 761, 371, -242, -392, 65, 354, 401, -192, 134, -481, 97],\n [279, 363, 652, -302, -29, 372, 449, 296, -152, -140... | 4 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[606, -314, 477, -487, -1400, 45, 738, -116, 587, -43, -717, 35],\n [-1681, 204, -112, -255, 884, -461, 1102, -710, -191, -249, -163, 623],\n [-350, 559, -1475, 23, -242, -1122, -84, -686, 1794, 705, 437, -494],\n [774, -576, 1166, -19, 738, -741, 521, 275, -627, 496... | 11 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-106, -81, -675, -206, 288, -1608, 287, -96, 731, -870, -321, 1284],\n [652, 516, 1078, 206, -731, -931, 49, -705, 446, 516, -409, 422],\n [92, -80, -32, -744, 121, 685, -140, 486, -149, 47, 497, 235],\n [-248, -352, -146, -362, 594, -424, 822, 618, -... | 6 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-843, 73, 422, 124, -254, -334, -766, -922, -1253, -913, -225, -191],\n [-610, -168, 864, -204, -833, -725, -1651, -155, -916, 89, -788, -924],\n [-244, -593, -358, 250, 411, -560, 650, -402, -77, -488, -153, 565],\n [-522, -231, 562, 648, -394, -117,... | 7 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[676, 364, -56, 168, -10, 664, 310, 75, -119, 288, -548, -38],\n [-835, 51, -176, -579, -418, -377, 222, 289, -247, -207, 203, -331],\n [-33, -169, 172, 141, 224, -221, -208, -211, 141, -87, 249, 165],\n [-850, 238, -112, -666, -430, -310, 434, 283, -3... | 3 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[64, 33, -121, 177, -25, -117, -105, 143, -24, -218, -156, 22],\n [-246, -121, -207, 579, -185, 136, -2, 213, 234, -768, 231, -361],\n [-630, 44, 496, 48, -230, 343, 469, -464, 838, -226, 139, -111],\n [350, 242, 83, -336, 140, -383, -152, -34, -203, 4... | 3 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[99, -155, -258, 258, 306, -591, -50, 277, 63, 177, -422, -391],\n [-145, -179, -458, 387, -385, 404, -154, -201, -465, -201, -1371, -507],\n [822, -638, -664, 372, 626, -421, 477, -577, -175, -314, -351, -979],\n [-237, -530, -244, -141, 367, -805, -140, 1198, -375,... | 7 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[59, -71, -276, 229, -224, 94, -83, -104, 139, 464, 279, 278],\n [-299, 581, -471, -151, -229, 803, -658, 407, 92, 538, 171, 112],\n [328, -512, 476, 48, 388, -724, 620, -460, -180, -632, -128, -152],\n [61, -389, 368, 160, -84, -605, 446, -44, 56, -323, ... | 3 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-184, 605, -824, 2, -868, -398, -219, 351, 85, -177, -657, 231],\n [34, -190, 16, 1050, -1007, 463, 463, 478, -891, 1178, 1079, -1029],\n [-11, 22, 1684, -337, 1316, 40, 560, -978, -45, -180, 311, -63],\n [1062, -698, -104, 655, -908, 209, -852, 975, ... | 7 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-236, -755, -655, -273, 297, -277, -728, 355, 66, -258, 84, -335],\n [-439, 707, 373, 744, 18, 505, 1361, -892, -75, -432, 204, -331],\n [-57, 364, 615, 177, -103, -230, 457, 180, 241, 397, 231, 249],\n [657, 54, 164, -201, -280, 186, -351, -33, -625,... | 5 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-600, -696, 700, -168, 132, 208, -88, -120, 516, 624, -536, 292],\n [564, 84, -46, -300, 390, 248, -620, 804, 150, -336, 92, -682],\n [143, -11, 23, -102, 128, 88, -197, 243, 74, -71, 0, -196],\n [-53, 353, -383, 318, -362, -304, 503, -513, -416, -127, 252, 322],... | 2 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[304, -266, 152, 418, -38, 437, -247, 323, 361, -19, -171, -133],\n [-48, 42, -24, -66, 6, -69, 39, -51, -57, 3, 27, 21],\n [32, -28, 16, 44, -4, 46, -26, 34, 38, -2, -18, -14],\n [-176, 154, -88, -242, 22, -253, 143, -187, -209, 11, 99, 77],\n [-352, 308, -176, -... | 1 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-5, -70, -32, -743, -494, -266, 697, 768, 9, -258, 247, -882],\n [-316, -422, 177, 856, 718, -161, -53, -377, 259, -299, 551, 275],\n [144, -754, 697, 540, 154, -553, -249, -93, -313, -547, -345, -429],\n [791, 438, 575, -201, -440, -361, -954, -469, ... | 4 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-732, -502, 424, 98, 1017, -486, 298, -577, 843, 229, 252, 822],\n [-642, -982, 521, 26, 1037, -560, 2219, -758, 2140, 160, 572, 107],\n [-39, -361, 662, -193, 226, -1083, 795, 4, 861, 490, -294, 394],\n [-562, 257, -759, 258, -378, 574, -633, -519, -564... | 8 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[326, -458, -119, -100, -20, -293, 278, 418, -536, 817, 35, 245],\n [-2, 366, 568, 267, 372, -407, -52, -393, -28, -1051, 761, -467],\n [-373, 358, 257, 326, 72, -189, -322, -297, 140, -701, 200, -328],\n [-637, -123, -304, 899, -429, -735, -39, 701, -... | 5 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-202, -82, -618, -53, -178, -76, -375, 264, 312, -278, 322, 15],\n [760, 193, -672, 902, 197, -597, -281, -1130, 96, -367, -402, -19],\n [-263, -621, 774, -263, 537, 206, 522, 172, -270, 636, -595, 303],\n [56, -586, 492, 128, 662, -58, 414, -320, -228, 502, -812, 3... | 4 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-10, 787, 770, 570, 586, -1152, 264, 769, -1113, -761, -358, 418],\n [-236, 1625, -678, 329, 556, 113, -1323, -1465, 475, 1058, 351, 217],\n [786, 395, 1048, 690, -1132, -484, 577, 800, 406, -25, 241, -251],\n [753, 1069, 893, 493, -1006, -1384, 453, ... | 11 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[37, -1024, -34, 436, 250, -181, -652, -412, -290, 659, -208, 749],\n [430, -149, -128, -760, -520, 372, 397, -289, -206, -603, -55, 59],\n [273, 185, -77, -777, -891, 172, -189, -326, 338, -233, -1016, 16],\n [-756, 106, -336, -431, 194, 1360, 85, -1384,... | 7 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-115, -319, 443, -258, 343, -959, -47, -385, -507, -963, 415, 119],\n [-420, -173, -206, 20, -701, -1199, -6, -454, -657, -830, -434, -308],\n [-166, -29, -191, 235, -235, 257, 138, 280, 112, 540, -98, -134],\n [-134, 860, -487, 398, -153, 505, -474, -7, 461, -112, ... | 5 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-411, 592, 936, 738, 874, 366, -86, -36, -127, -498, 1135, -104],\n [-352, 647, 146, 178, 632, 197, 216, 546, 963, -713, 446, -45],\n [-29, 334, 196, 325, 438, -11, 485, 227, 169, -217, -39, -8],\n [-206, -464, 379, 155, -583, 416, 121, -330, 349, 23, 18... | 5 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-758, -805, 1240, 796, -449, 182, 676, -18, 1071, 478, 870, 160],\n [1220, 1076, -654, 552, -897, 804, 77, 7, 209, -1281, -405, -34],\n [739, 432, -2044, -1627, -518, 173, -1511, -827, 505, 378, -885, 579],\n [-734, -124, 582, 373, 68, 120, 400, 253, ... | 11 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[369, 321, 399, -662, -421, 40, -680, 568, -934, -590, -1457, -231],\n [-157, -734, 508, -985, -586, 845, -1051, 1786, -166, -180, -123, -81],\n [44, 466, -537, 601, 211, -192, -493, -662, 240, -188, 689, 864],\n [-79, -84, -90, -220, 299, 376, -399, -... | 7 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[502, 556, 219, 185, -152, 480, -500, -729, -1011, -24, 563, 678],\n [-816, -1051, -45, 144, 307, -450, 136, 757, 215, 36, -484, -700],\n [-642, -1024, -787, 723, -261, 295, 27, -385, -730, -516, -189, 36],\n [627, 1097, -63, -1290, -607, -885, -937, -449, -383, -943... | 6 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[68, -208, 413, 130, 143, 114, 351, -101, -73, 389, -400, 285],\n [137, 96, 238, -60, 332, -22, 236, 215, 248, 295, -244, -55],\n [136, -64, 420, 40, 316, 56, 380, 84, 124, 444, -416, 140],\n [-103, -112, -133, 70, -253, 36, -141, -194, -217, -184, 140, 9... | 2 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-645, -541, 71, -700, -226, 779, -76, -339, -537, 55, 464, 507],\n [-300, 172, -45, 113, 439, 262, -810, -24, -392, -244, 426, 88],\n [246, -158, 127, 25, -537, -412, 908, 96, 402, 128, -432, -246],\n [-177, -519, 11, -695, -401, 479, 469, -282, -89, ... | 3 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[101, -804, -874, -1352, -636, -1188, -69, 120, 34, -293, 586, 150],\n [-348, 420, -140, -153, -311, -550, 412, 75, 342, 93, -518, 24],\n [-216, 912, 918, 1362, 612, 1300, 251, -292, 13, 366, -814, -227],\n [366, -1200, 376, -634, -466, -192, 514, -926, 512, -68, -28... | 5 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-88, -264, 52, -2, 36, 40, 112, -16, -250, -202, -44, 6],\n [-308, 452, 10, 208, 126, -32, 306, -142, 630, 540, 190, -194],\n [-88, 248, -12, 78, 36, -24, 80, -48, 310, 262, 84, -74],\n [660, 124, -158, -275, -270, -68, -724, 236, -155, -167, -134, 24... | 2 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[915, -691, 994, 317, 567, -219, -1020, 1478, 1380, 318, -1715, -213],\n [-666, 723, -711, -34, -517, 363, 590, -1795, -2042, -480, 1700, 335],\n [-623, 614, 260, -917, -394, -735, -107, -462, -612, 249, 478, 1000],\n [-293, 112, -216, -935, -452, -653, 9... | 7 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[843, 300, -226, -23, -309, -214, 1250, 393, -212, -544, 113, -130],\n [33, -182, -529, -571, -503, 972, 58, 487, -137, -191, -476, -967],\n [353, 261, -317, -324, -219, 591, 35, -10, -407, -238, -553, -1694],\n [-225, -576, 362, 115, 1264, -382, -809, -831, -454,... | 6 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[766, -789, -862, -643, -117, -1358, -1012, 766, -459, -45, -643, 23],\n [-670, -100, 1598, 430, 407, 1263, -1004, -825, 302, 174, 1897, 432],\n [1063, -241, -1004, -445, 48, -1133, -440, 519, 163, 360, -1364, 297],\n [-2108, 784, -859, 239, -50, -680,... | 10 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-176, 88, -104, 256, 100, 176, 268, 52, 80, -352, 308, -4],\n [142, -332, 540, -254, -517, 322, -33, 397, 294, -122, -263, -499],\n [291, 21, -119, -393, 113, -587, -560, -366, -361, 841, -500, 327],\n [12, 156, -276, 12, 264, -300, -132, -276, -228, 276, -12, 31... | 2 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[87, -256, -130, 940, 89, 1043, 429, -644, 525, 770, -35, -468],\n [422, -410, 2178, 58, 452, 528, -580, 1260, -557, -358, -860, -356],\n [-811, 301, -2, -379, -427, -372, 396, -340, 101, 544, -1364, -607],\n [-275, 466, 690, -427, -65, 1944, -255, 11,... | 10 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[377, 601, 895, -656, -48, -47, -559, -590, 580, 316, -32, 491],\n [-213, -56, 1100, -216, 215, 584, -231, 63, -302, -99, 910, 558],\n [420, 139, -29, -110, 885, 502, -182, -182, 396, 420, 909, 325],\n [-28, 140, 1221, -276, 147, 530, -141, 468, -434, -39, 1087, 491]... | 5 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[556, 395, -675, 293, 813, 549, 534, 12, -752, 675, -974, 1268],\n [1308, 127, 49, -335, 641, 85, -16, 162, -156, 401, 634, 294],\n [1449, 238, -714, 110, 293, -489, -522, -640, -399, 457, 397, 310],\n [-926, -990, 14, 721, -414, -993, -1415, -478, 593, -206, -337, -... | 7 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-1375, -999, 516, -1447, -25, 248, -918, 63, -691, -240, -588, 160],\n [-29, -479, 560, 91, -15, -1012, 285, -134, -1275, 420, -396, -595],\n [-364, -28, 105, 1265, -54, -851, 1498, 758, 119, 352, 1670, -285],\n [175, 420, -694, -441, -494, -226, 210,... | 9 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[1, 56, -578, 992, -392, 352, 1806, 429, -1728, 52, -203, -1173],\n [-923, -997, 753, 730, -954, -1142, -154, -728, -850, -13, 585, 1021],\n [910, -512, 321, 639, 2049, 173, 547, 224, 571, 74, 257, -1009],\n [790, 1547, -593, -105, -376, 548, -189, 851... | 11 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-203, 76, -71, -256, 543, 409, 46, -32, -24, 1, -71, 56],\n [79, 279, 505, 118, 654, 124, -253, -679, 846, -158, -155, -25],\n [-538, 216, 488, -76, -233, -1266, 120, 361, -538, -860, -103, 298],\n [-933, 907, 197, -152, 370, -550, -1077, 437, 480, -686, 619, 679... | 6 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[272, 159, -440, -251, -108, -104, 289, 703, 375, 448, -244, -78],\n [158, -6, -74, -340, -93, -242, -218, 653, 523, 462, -172, -10],\n [-158, -111, 290, 109, 57, 26, -241, -362, -160, -222, 136, 52],\n [-162, -99, 270, 141, 63, 54, -189, -408, -210, -258... | 2 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-839, -436, 1477, 869, -1244, -683, -952, -56, -1279, -460, 514, 743],\n [-881, 1556, 1192, -962, 1484, -151, -480, -2138, 1108, 227, -1086, -951],\n [-1018, 1840, -557, 18, 968, -1160, 1867, 53, 862, 151, -548, 99],\n [-638, 837, 539, -116, -995, -1696,... | 10 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[149, 1160, 869, 269, -40, 668, -711, -638, 134, 560, -306, -455],\n [831, 575, -339, -186, 97, 915, -526, -48, -35, -1908, -618, -11],\n [1419, 873, -351, -1226, -980, 773, -563, -1672, -56, -149, -566, -562],\n [1409, -199, -320, 187, 749, -5, 78, 278, -464, -510, ... | 11 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[81, 287, 30, -823, -232, -437, -392, -273, 745, 251, -763, -1196],\n [-512, -59, 117, -344, 185, 871, 13, 439, 109, -253, 446, 503],\n [-804, 38, -106, -716, 586, 694, -38, 206, 290, 186, 372, 50],\n [345, 36, -118, 585, -377, -683, 89, -25, -549, -85... | 5 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-383, -207, 971, 959, 200, -352, 207, -69, -361, -493, -73, 1021],\n [-323, -112, 75, 580, 419, 887, 135, 95, 585, 1100, 293, -221],\n [197, -22, -892, -820, -163, 287, -452, 140, 300, 405, 135, -757],\n [422, 1124, -314, -781, -603, -1149, 226, -62, -692, -1034,... | 5 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[122, 888, -437, 892, -611, 205, 10, -410, 913, 239, 1254, 1147],\n [278, -352, 354, -154, -212, -399, -461, -465, 737, 233, 943, -119],\n [473, -621, 90, -182, 11, -270, 36, -125, 407, 449, 31, -633],\n [960, -630, -392, -419, 190, -73, 616, 43, 380, 814, -404, -... | 6 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[98, 163, -376, -251, -81, 1064, -375, -255, 442, 495, -397, -764],\n [33, 76, 24, 7, -331, 548, -684, -757, -212, -374, -231, 12],\n [-305, -490, 246, -64, -27, -84, -409, -302, 766, -591, -461, -174],\n [-109, 44, -203, -56, 162, 216, 76, 136, 419, 2... | 5 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[280, 207, -708, 209, 59, -88, 266, 577, 281, -857, 320, -437],\n [401, -263, 103, 40, 484, 629, -318, -60, 454, 33, -226, 84],\n [-908, 623, -55, -192, -1024, -1203, 461, 264, -760, -33, 198, -321],\n [-791, 654, 192, -342, -790, -686, -41, 574, -136,... | 3 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[532, 843, 356, 285, -227, -1379, 115, 351, 333, -652, -1834, 880],\n [33, -134, -452, -719, -22, 223, -1022, -473, 817, 724, 396, 1197],\n [-84, 311, 490, -114, 252, 367, 371, -841, -1142, -221, 1076, -1432],\n [-95, 469, 146, -271, -1007, -447, -289, 1071, 243, ... | 7 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[342, 2357, 1100, -573, 1014, 937, 515, 1799, -274, -1715, 140, 1233],\n [76, 935, -906, -542, -738, 543, 165, -879, 417, -1317, 1768, 174],\n [-486, 542, -892, -54, -807, 848, 113, -666, 368, -1179, 799, 1144],\n [537, 218, 138, -415, 529, -667, 1317,... | 11 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-836, 471, -477, -487, -167, 959, -282, 103, -354, -957, -291, 1780],\n [1722, -806, -562, 305, 311, -250, -620, 1255, 773, 733, 1212, 621],\n [345, -653, -339, 30, 776, 219, -218, 515, 472, -219, 105, -582],\n [3163, -886, 833, 1277, 534, -724, -10, ... | 10 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[191, -573, -368, 481, 1174, 321, -291, -194, -31, -213, -354, -188],\n [369, -1061, -851, 871, 1686, 1125, -69, -1301, -353, 567, -438, -11],\n [110, -897, -163, 184, 1268, 672, 110, -435, -126, 438, -593, -134],\n [342, -321, -836, 537, 823, 837, -178, -778, 478... | 5 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-908, 291, 1165, -483, -1238, 249, 901, 1195, -1414, -1269, 1025, 1479],\n [-321, 829, 778, 607, -415, 584, 297, -1058, 37, -531, 444, 693],\n [-477, -1271, -616, -974, -170, 779, 1215, 282, 289, -12, 272, -362],\n [-839, 234, 159, 757, 1348, 495, 812, -588, 58, 579... | 9 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-395, 206, 1176, 894, 528, 359, 279, 238, 440, 862, -427, -732],\n [-824, -1173, 716, 13, 966, 68, 423, -200, -307, -471, -82, -103],\n [287, 578, -696, -707, -784, -387, -261, -514, -395, -31, -231, 240],\n [671, 426, -1170, 9, -311, -212, -306, 620, 34... | 5 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[201, 482, 701, -906, -531, 535, 1059, 510, 445, 147, 393, -116],\n [554, -80, 484, -470, 196, -252, -90, -68, -124, 126, 736, 192],\n [-524, 554, -329, 19, -939, 1179, 604, 354, 93, 94, -885, -996],\n [537, -184, 512, -140, 249, 307, -1223, -371, -163, 510, 675, ... | 4 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-637, -354, 81, 117, -420, 1047, 659, -1043, 806, -912, -1023, 1257],\n [931, 1721, -372, -1353, 580, 598, -343, -257, 228, -880, -464, 721],\n [-96, 196, 169, -417, -1154, 117, 109, -586, 931, 201, -360, 1112],\n [-578, -1549, -1019, 937, 516, 517, -... | 10 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[319, 251, 724, -126, -1413, -155, -376, 115, 951, -273, -149, -795],\n [-101, -466, -834, 497, 1271, 38, 244, -89, 254, 1094, 244, 510],\n [-75, -552, 578, 208, -2170, 196, -810, 1330, -315, -119, -519, -267],\n [-788, -1092, -1392, -168, 1171, 147, -207... | 11 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[27, 690, -278, -787, 638, 294, 1046, -449, -105, 678, 477, 1057],\n [-964, 179, 1028, -666, -237, 1192, -793, -583, -915, 413, 10, 341],\n [-241, -186, 559, -113, 508, -278, -475, -407, 152, -492, -388, -259],\n [515, -340, -28, 554, -704, 512, 179, 262, 220, 763... | 8 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-768, -769, -308, -261, 83, -498, 251, -1790, 41, 173, 840, 1161],\n [242, -285, 325, 743, 51, -406, 25, -184, -12, -805, -754, -62],\n [-291, -320, 540, -675, 204, 547, -104, -681, -28, 570, 634, 572],\n [301, -366, -532, -1235, 765, 158, 582, 1, 347... | 8 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-183, 332, 317, 139, 514, 495, -659, -1050, -357, 409, -437, -267],\n [-172, 752, 193, -743, 979, -535, -1000, -383, 450, 305, -1067, -143],\n [728, -52, 1061, 790, -416, -175, -553, -824, 268, 1366, -6, -831],\n [-16, 767, 436, -286, 641, 305, 479, -737, -1699, ... | 9 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-54, -268, -60, -256, -271, 62, 368, 742, 97, 147, -530, -82],\n [27, -214, -59, -241, -221, 20, 265, 526, 106, 88, -362, -20],\n [615, -145, -120, -530, -225, -260, -35, 0, 265, -150, 130, 390],\n [543, -144, -153, -319, -107, -160, -103, -586, 390, -246, 522, 292]... | 3 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[307, -180, 114, -56, -197, 397, 119, 564, 198, -910, -340, 156],\n [172, 925, -64, 429, -1, -738, 342, -20, 102, 182, 1290, -90],\n [-58, -296, -387, -1359, 951, -346, -638, 299, -511, 42, 382, -57],\n [-167, -609, -323, 246, -531, 1129, -103, 523, -3... | 5 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-209, -758, 361, -301, 940, 95, -262, -240, 389, -1064, 317, 323],\n [189, 193, 2016, 238, 834, -384, 228, 446, 826, -1227, -1013, -816],\n [1439, -1566, 222, -1436, 358, 159, -371, -954, 334, 585, -99, -326],\n [506, -948, -855, -15, -310, -44, -105,... | 11 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[384, -595, 351, -53, -222, 455, -814, 579, 92, -828, -757, 94],\n [593, -353, -101, -216, -328, 198, 124, 364, -142, -423, -306, -50],\n [-423, 914, 349, 940, 1000, -1088, 239, -35, 160, -234, -417, 810],\n [386, 727, -183, 683, 656, -845, 522, -65, 119, -491, -658,... | 6 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-345, -267, -135, 21, -192, 222, 9, -96, -90, 684, 228, 321],\n [-235, 656, -225, -502, 350, 154, -525, -831, -254, -453, -14, -438],\n [137, 436, -197, -652, -249, -152, 215, 88, -455, -496, 94, 192],\n [101, -298, 782, 103, 1189, -619, -383, 414, 486, ... | 4 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[687, 740, -311, 267, -618, 288, 512, -1044, -440, 175, -538, -434],\n [334, 79, -619, 871, -275, -643, 354, 171, 186, 563, 271, -856],\n [413, -641, 893, -601, -151, 445, -334, 72, 100, -106, -764, 620],\n [-131, 731, -261, -43, 32, 267, 212, -651, -2... | 4 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[44, 80, -613, 253, 669, -354, -791, -180, -768, -38, -692, 166],\n [492, 231, 462, 395, -159, 106, 491, -680, 588, 419, 471, -1090],\n [104, -9, 183, -41, -167, 99, 128, 130, 164, -170, 245, 18],\n [-1012, -294, -225, -580, -212, 41, 333, 258, 32, 545, -400, 556],\n... | 3 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[22, 6, -4, 13, -10, 8, -10, -26, 7, -25, 25, 20],\n [374, 102, -68, 221, -170, 136, -170, -442, 119, -425, 425, 340],\n [-176, -48, 32, -104, 80, -64, 80, 208, -56, 200, -200, -160],\n [308, 84, -56, 182, -140, 112, -140, -364, 98, -350, 350, 280],\n ... | 1 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-696, -51, 677, 332, 183, 272, -443, 385, -198, 434, -684, 834],\n [473, -146, -678, -496, 739, -1457, 142, 306, 258, -326, 98, 523],\n [-526, -1315, 636, -680, 341, -942, 790, 943, -419, 236, -379, 632],\n [101, -385, -481, -654, 288, -961, 213, 335,... | 8 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-138, 86, -250, 148, 345, -26, 25, -202, 48, -171, 87, -192],\n [282, -59, 430, -247, -525, 134, -70, 328, -12, 369, -213, 318],\n [-28, 129, -128, 83, 242, 72, -13, -122, 92, -16, -16, -110],\n [-450, -241, -454, 235, 321, -446, 166, -280, -228, -645, 441, -294]... | 2 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[517, -170, -206, 742, 149, 138, -461, -1302, 147, 703, -1197, 1356],\n [-450, -83, -87, -573, 318, -65, -17, 466, 2, -498, 333, -932],\n [48, -780, -310, 14, -323, -129, -57, 192, 133, 499, -796, -229],\n [-514, 483, -678, 443, 856, 943, -230, -157, 5... | 7 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-81, -1072, -1207, -160, 424, -1018, 179, -97, -413, -108, 647, -131],\n [531, 146, -16, -460, -74, 377, -487, 86, -53, -36, 488, 640],\n [273, 950, 408, 356, 174, 827, 453, -288, 453, 432, -840, 376],\n [-117, -556, 45, -460, -392, -378, -713, 379, -333, -444, 7... | 4 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[280, -541, 477, 135, 171, 129, 57, -202, 580, 345, 470, 280],\n [44, -36, 874, 452, 152, 1259, -256, -551, -858, 391, 235, -483],\n [440, -476, -456, 226, 270, 97, 804, 230, -193, -181, 187, 56],\n [173, 1047, -298, 602, 253, -475, 83, 124, 516, 154, -842, 322],\... | 8 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-661, -691, -26, 277, 70, 839, 139, 352, 11, -274, -875, 558],\n [690, 482, -34, 346, -22, -558, 218, 123, 247, -51, 866, -386],\n [880, 640, -208, 488, 128, -320, 584, 356, 268, 100, 872, -120],\n [-750, -878, 14, 534, -726, -315, 67, 412, 468, 2, -4... | 4 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[821, -71, 1324, -1139, -150, 345, -1084, -1605, -107, -769, -872, -955],\n [-329, -181, -757, -465, -617, 15, -1075, 416, 310, 1126, 233, 1204],\n [583, 573, 739, -1907, -195, 865, -623, -266, 504, -330, -1439, -992],\n [-298, -556, 170, 225, -1178, 140, 303, 490, -... | 11 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-73, 94, -7, 134, 84, 174, -104, -58, 186, 24, 165, 109],\n [-204, 144, -18, 236, 102, 480, -300, -46, 538, 154, 370, 302],\n [-209, 38, -17, 114, -18, 486, -316, 60, 568, 238, 295, 307],\n [-144, -180, -9, -162, -243, 324, -234, 243, 423, 315, 45, 207],\n [126, ... | 2 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-500, 453, 175, -820, -451, -514, -353, -1167, -458, 965, 818, 763],\n [-317, -598, 468, 1143, 196, 91, 563, 748, 691, -547, -359, -313],\n [-313, -233, 540, -171, 431, 371, -701, 404, 239, 538, 365, -221],\n [-79, -37, 470, 83, 27, 249, -295, 22, 103... | 4 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[1285, 671, -627, 351, 345, 671, 568, -789, -350, 243, 256, -142],\n [551, 177, -130, 812, 131, -69, -417, 327, -372, -291, -452, 178],\n [-252, -1307, -2346, 286, 1863, 530, 1586, 564, -1311, 339, 101, -730],\n [-1333, -174, 228, -1889, 467, -304, 1325, 422, 341,... | 9 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-143, -169, -312, 312, 221, 312, 299, 39, 247, 325, 182, 104],\n [253, 299, 552, -552, -391, -552, -529, -69, -437, -575, -322, -184],\n [132, 156, 288, -288, -204, -288, -276, -36, -228, -300, -168, -96],\n [-66, -78, -144, 144, 102, 144, 138, 18, 11... | 1 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[112, -24, -443, 519, 518, -199, 814, -235, -581, -44, 371, -180],\n [5, -225, 242, -1020, -27, 419, -751, 70, -164, -608, -391, -390],\n [49, -74, -362, 309, 350, 196, 810, -332, -958, -268, 595, -536],\n [-302, 126, -102, 958, 55, 29, 1147, 47, -188, 170, 635, 193]... | 4 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-206, 369, -366, -48, -996, 81, 706, 264, 213, 1272, 616, -536],\n [703, 934, -1253, 144, -1004, 1097, 939, -982, 296, 954, -302, 60],\n [-671, -70, 419, 337, -560, 376, -393, 190, -66, 270, 332, -25],\n [248, -877, 206, 147, 628, -912, 144, 338, -118... | 8 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-259, 974, 714, -298, 298, 1095, 1069, 201, -1518, 1314, -96, 346],\n [726, -707, -208, 232, -275, -397, -155, -415, 500, 226, 40, 91],\n [-188, -973, -512, -686, 350, -2071, -873, -756, 1123, -1050, 423, -2154],\n [202, -524, -466, -780, 148, -163, 5... | 8 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-364, 134, -164, 201, -405, -694, 1143, 199, 189, -428, -1349, 979],\n [-560, 1085, -1106, -185, 734, 331, -522, -244, 453, -92, 244, 214],\n [928, 326, -59, 1465, -268, -486, 330, -359, -536, -743, -583, 808],\n [-113, -286, -185, 1144, -638, -131, -... | 9 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-603, -1242, -150, -262, 1414, 902, 364, 677, -390, 342, -109, -194],\n [-757, -152, -584, -989, 109, 973, -547, 493, -132, 719, 306, -27],\n [229, 390, 1554, -1302, -283, 309, -1042, 905, -1370, -119, 485, 1490],\n [-444, 766, 177, -455, -855, 238, -273, -449, 3... | 6 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[339, -479, -347, 136, 5, 1692, 1577, 475, -865, 52, -1170, 224],\n [-567, 337, 612, -209, 79, 319, 973, -267, -622, 785, -215, 114],\n [-844, -94, -461, -458, 310, -424, -23, 467, -843, 966, 769, -1305],\n [-1139, 317, -30, -411, 312, 273, 472, 113, 3... | 10 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[733, 151, 227, -917, 1030, 205, -7, -1454, 298, 1163, 762, -404],\n [489, 39, -837, 478, 202, -41, 637, -662, -273, 474, -697, 562],\n [484, -536, -371, 818, -712, -378, 164, 617, 176, -1095, 1254, -1491],\n [-827, 46, -307, 333, -1041, -879, -212, 10... | 7 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[327, 731, -86, 637, 678, -670, -935, 394, -923, -940, -412, 768],\n [-721, -172, -50, -1325, -552, 1111, 105, -184, 579, 1755, 91, -152],\n [-540, 1026, 1406, -335, 35, 183, 744, -930, -771, -542, 39, 741],\n [1008, -557, -1282, 313, 96, -160, -332, 4... | 8 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[280, 104, -710, 577, 145, -243, 15, 449, -26, -384, 244, 582],\n [188, -509, -1495, 279, 1888, -666, 310, -7, -391, -399, 503, 834],\n [1240, 649, -509, 1645, 815, 465, 19, 138, 148, -1782, 731, -22],\n [-60, -311, -45, -265, 245, -127, -147, -186, 370, 184, -435... | 8 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-136, 564, -128, 486, -144, 90, 716, -152, -579, 593, 9, 5],\n [283, 77, 73, -267, -7, -180, -136, -275, 21, -36, 284, 15],\n [85, -146, 848, -378, 414, -542, -231, 958, 298, -516, -440, 295],\n [-39, 643, 265, 490, -238, -691, 1186, -264, -1196, 865,... | 5 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[655, 1250, -1445, 1471, -1282, -634, 2072, -241, 1146, 283, -152, 171],\n [331, -533, -211, 588, -368, 1265, 617, 726, 840, -185, 298, 80],\n [-432, 1304, -1047, 393, 803, -184, -523, 772, 341, -14, -89, 1021],\n [881, -951, -289, 1113, 408, 568, 295, 58... | 11 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[556, -216, 261, 315, -34, -639, -1024, -198, 766, 551, -245, -329],\n [923, 143, 507, 0, -625, -92, 578, -49, 23, -822, -1143, 923],\n [231, -855, -517, 407, -371, -203, 124, 395, -429, -509, -156, -129],\n [-289, -76, 718, -284, 889, 239, 1140, -213, -225, 386, ... | 9 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[1314, 448, -783, 221, 664, 309, -11, 528, 526, -198, 1396, 670],\n [1237, 43, -136, -647, -231, -2576, -1488, 905, -676, -407, 20, -21],\n [104, -759, -372, -1364, 986, -1258, 274, 338, -375, 114, -1123, 68],\n [15, 166, 989, 949, 1184, -97, 667, -281... | 11 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-26, 1028, 620, 575, 571, 187, -1093, -812, 195, 639, -1036, -483],\n [902, 99, 309, -439, -606, 936, 708, 85, 568, 473, 734, -178],\n [62, 71, 405, -232, -139, -300, -106, -14, 1152, 610, -86, -58],\n [34, 12, 50, -684, 652, -608, -110, 352, 312, -394, 370, 4],\... | 5 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-412, 499, -89, 226, -59, -204, -202, -283, 239, 10, -423, 345],\n [-8, -409, 494, 269, 29, 264, -158, 373, -59, -40, 243, -345],\n [-388, -24, 501, 525, -20, 124, -372, 180, 150, -38, -102, -90],\n [-48, 171, -144, -45, -15, -96, 18, -135, 45, 12, -117,... | 2 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-544, 184, 242, -42, -506, 157, 348, 279, -606, -210, -141, 365],\n [75, -935, 265, -605, -155, -155, 490, -870, -80, 135, 175, -475],\n [-79, -199, 618, -625, -612, -136, 177, -206, -752, -798, -329, 201],\n [797, -308, -1, 20, 100, 100, 141, -280, 234,... | 4 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-160, 41, -86, -887, -303, -475, 523, -570, 541, -188, -275, 20],\n [-820, 1110, 592, -779, -115, -935, -359, 250, 374, 256, 125, -990],\n [-257, 382, 88, -348, -354, 9, -345, -796, 485, -301, 462, -695],\n [-1078, 808, 887, -996, -281, -733, 80, 359, 34... | 6 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[594, -1369, -1336, -90, 440, 798, -1409, -815, -474, 838, 436, 44],\n [35, -84, -342, 610, -54, -650, -76, -403, 1414, -140, -413, -567],\n [483, 612, -184, 125, 112, -515, -81, 259, 92, -219, -455, 175],\n [170, 511, 387, 431, 508, -142, -272, 1108, -415, 835, -661... | 9 | MATH |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.