messages listlengths 1 1 | ground_truth stringclasses 11
values | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the rank of the matrix:\n[[-197, -525, -616, -544, 823, 687, -1175, -340, 302, -295, 1134, 882],\n [1104, 762, 622, -120, -483, 433, 617, -376, 552, 438, 379, -154],\n [-500, -1401, -599, -1169, 647, -100, -793, 220, 111, 307, -286, -410],\n [926, -619, 537, -491, -189, -196, -550, 173, -1... | 6 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-581, 1145, -1127, 688, -672, -219, -338, -675, 134, -561, 326, -375],\n [110, -582, 549, -470, 83, 141, -1012, 897, 904, 402, 492, -943],\n [913, 300, 781, 528, 1336, -784, -134, 394, -215, -1118, -808, 787],\n [-346, -633, 371, -666, -402, 1150, 663, 1... | 9 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[1146, 31, 380, -535, 1163, 820, -944, 673, -814, 799, 171, 580],\n [731, 613, -186, -896, 925, 791, -990, 290, -635, 416, 473, -105],\n [-514, 579, -560, 576, -478, 264, -434, -162, 331, -545, 511, 1017],\n [-866, 247, -147, 132, -600, -751, 102, -639, 880, -967,... | 6 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-299, -399, 366, 394, 418, 143, 100, -340, 586, 23, 672, -100],\n [8, -57, -336, 208, -675, -296, -322, -475, 536, 413, 555, -45],\n [-275, -253, 91, 277, -242, 138, -216, -710, 300, 780, 512, 16],\n [-32, -885, 406, 858, -709, -378, -524, -722, 707, 331... | 5 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[60, -564, -858, 157, 366, -52, -1369, -1952, -1137, 891, 35, -782],\n [12, -418, 318, -354, -146, -246, 285, 460, -22, -513, -18, -234],\n [-15, -78, -386, -300, -149, -308, -369, -434, -524, 286, 143, -76],\n [-111, -330, 248, -431, 89, 206, 236, -22... | 5 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-282, -306, 518, 286, 105, 473, 321, 16, 58, 496, 239, 214],\n [642, 288, 26, -98, 312, -274, -576, -734, -842, -56, -88, -578],\n [137, 162, -291, -157, -69, -256, -161, 15, -5, -276, -131, -101],\n [277, 342, -631, -337, -159, -546, -331, 55, 15, -5... | 2 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-413, -368, -960, 887, -283, -185, 1200, -970, -764, 743, -1175, 117],\n [880, -232, -668, -170, -148, 765, 8, -280, 781, 586, -614, 1017],\n [-560, -65, -560, 523, -62, 296, 379, -486, -450, 373, -903, 115],\n [-719, 258, 422, -16, 309, 223, -846, 797, -90, -336, 1... | 6 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-363, 280, -1409, -487, 449, -146, -424, -56, 986, 35, -282, 729],\n [-986, -547, 1164, 276, -420, 428, 38, -249, 232, 916, -487, -1163],\n [-1196, 362, 358, -23, 710, -748, 594, 19, -42, -1144, 368, -581],\n [569, -1374, 902, -543, 1357, 492, 3, -519... | 9 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-294, 117, 83, 153, 245, 38, 235, -141, 64, -4, -53, 30],\n [-641, -124, 539, -127, 457, -226, 488, -237, -273, -181, -139, -80],\n [-373, 214, 47, 302, 92, 229, 287, 2, 184, 297, 325, -22],\n [-213, 682, -569, 590, 547, 804, -240, -368, 727, -113, -5... | 4 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-27, 325, -444, 703, 180, -57, 103, -282, -953, -900, -755, -1674],\n [154, -614, 855, -905, 71, -200, 294, 1187, 898, 628, 1246, 517],\n [497, 97, 1357, -266, -553, 1333, 1183, -863, -1451, 280, 1145, -45],\n [50, -836, 438, -598, -117, 809, 619, -1274,... | 8 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[1325, -512, 84, -331, -347, -537, 1061, -103, -570, 545, 112, -840],\n [-435, 744, 370, -415, 659, 1492, -937, 1438, -342, -480, 443, -110],\n [-1428, 73, -1660, -706, 1890, 123, 339, 105, -214, -856, -373, 25],\n [-608, 111, 600, -46, -363, 1623, -14... | 10 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-773, -301, -714, -8, -1140, 15, -268, -175, -177, -101, 708, -940],\n [3, 723, -1479, -784, -721, 23, 262, 362, 107, -226, -98, -263],\n [-520, -759, -962, 449, 655, 868, 571, 233, 468, 332, -430, 119],\n [70, 685, -791, -162, -459, 192, -559, -260, -26... | 10 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-238, -722, -209, -285, -70, -327, -556, -322, 299, 284, 23, 27],\n [-223, 370, 172, -27, 563, 393, 491, 617, 161, -511, -367, -270],\n [296, 1066, 319, 393, 188, 519, 854, 548, -391, -478, -91, -81],\n [410, 760, 190, 380, -170, 240, 490, 130, -460, ... | 2 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[322, 17, 822, 151, -394, -222, -671, -289, 638, 45, 175, -307],\n [622, -179, 111, -109, -217, -696, 141, -2, 379, -156, -80, 57],\n [-292, -869, -208, 570, 164, 91, 666, -77, -269, -225, -460, 292],\n [34, -372, 52, 673, 636, 485, 659, -40, -599, 666... | 5 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-243, 618, -637, -121, 83, 433, 311, -499, 273, -229, 398, -674],\n [95, 414, 477, 62, 299, 238, -473, 1135, 485, -581, 697, -297],\n [968, -135, 1388, -273, 580, -393, -1193, 741, 1000, 626, 1361, 639],\n [-354, 553, -978, 193, -928, 754, 112, -496, ... | 6 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[668, -117, 832, -204, 51, 614, 221, -469, 633, 408, -66, -714],\n [-341, 23, -598, -264, 54, -824, -161, 409, -513, -9, -183, 722],\n [-448, -283, 104, 157, 152, -320, -316, -376, -112, -762, 117, 138],\n [-257, 188, 154, 667, -135, 1119, -56, -308, 61, -370, 858, -... | 5 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[400, -339, -407, 646, 20, 772, -578, -22, 1340, 153, -681, 423],\n [-232, -360, -934, 118, 244, 377, -153, -142, 724, 703, 923, 555],\n [-634, 1411, -4, -364, -441, -1176, -3, 546, -1695, -565, -304, 648],\n [-2, -1044, -1021, 765, -1293, -34, -530, 5... | 9 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-245, -74, -412, -156, 459, 89, 482, 184, -565, -132, -172, -188],\n [820, 1100, 650, -25, -920, 205, -445, 655, 470, 1415, -300, -180],\n [-203, -642, -184, 84, 25, -489, -538, -603, 65, -643, 206, 483],\n [896, -175, -813, 486, 1173, 473, 119, -286, 645, 278, 823,... | 5 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-50, -100, 220, 70, -240, 200, -160, 40, 260, -120, 240, -180],\n [-80, -160, 352, 112, -384, 320, -256, 64, 416, -192, 384, -288],\n [10, 20, -44, -14, 48, -40, 32, -8, -52, 24, -48, 36],\n [35, 70, -154, -49, 168, -140, 112, -28, -182, 84, -168, 126... | 1 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-657, 589, -639, 201, -861, 493, -828, 449, -652, 31, -545, -69],\n [-17, 857, 715, -223, 35, 637, -144, 1015, -978, 63, 87, -307],\n [-440, -483, -153, -230, -454, -100, 663, -48, 133, -270, -254, -194],\n [-1042, 18, -119, -58, -742, 662, 140, 521, ... | 5 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-111, -413, -1321, -690, 160, 749, -305, 1488, 401, -648, -672, -722],\n [594, -175, 885, -518, -695, 801, 453, -708, 731, 472, -557, 813],\n [-1593, -351, 864, -924, -216, 666, 1392, -232, 571, -10, 282, 654],\n [-1055, -647, 524, -238, 657, 1014, -552, -519, 12... | 11 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-60, -104, 64, 40, -84, 76, 88, -16, -8, -8, -96, -92],\n [63, 122, 16, -378, -187, -115, -342, -92, -318, -414, 136, -41],\n [246, 444, -148, -626, -34, -360, -704, -84, -416, -548, 442, 188],\n [168, 288, -200, -28, 304, -204, -184, 72, 104, 128, 260, 292],\n [81,... | 2 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-337, 373, -645, 203, 1053, 27, 391, -412, 453, -181, 296, 1084],\n [1183, -1335, -266, 87, -595, 986, 304, -409, 184, 1193, -211, -825],\n [-768, -197, -285, -261, -131, 256, -436, 955, -564, -70, -110, 235],\n [-430, -398, 953, -28, 758, -1527, 922, 47... | 10 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-1934, 334, -427, 877, -787, 765, 817, 509, -434, 126, -214, -1173],\n [535, -860, 428, -1056, -792, 135, 479, 53, 428, 1452, 1181, 681],\n [299, -638, 281, -520, -85, -606, -392, 857, -206, -135, 270, -166],\n [812, 594, -106, 870, 38, 40, 1043, 520, -87, 207, 4... | 8 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[27, 605, -358, 171, 278, 265, -235, 474, -90, 51, -2, -556],\n [28, 698, -1019, 289, -422, -250, -766, -270, 480, 323, -633, 373],\n [-545, -440, 1000, 876, 822, 85, 624, 203, 698, 721, 180, 350],\n [-308, 328, 155, -1090, -1475, 335, -403, -610, 438, 49... | 8 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[22, -414, 37, -397, 146, 428, -353, 96, -633, -49, -140, 344],\n [42, 14, -447, 246, 94, -487, 103, 97, 560, 73, 312, -316],\n [0, -248, -6, -243, 107, 220, -196, 74, -353, -7, -72, 175],\n [694, 98, 323, 836, -720, 551, -431, -565, 110, -863, 152, 690],\n [808, -19... | 3 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-369, -40, 144, -589, 191, -113, -183, -530, 138, -175, 563, -366],\n [-473, 44, 305, -183, 197, 159, 416, -170, -814, -134, 280, 210],\n [379, 752, 691, 1515, -629, 360, -543, 354, -568, 551, -134, 1026],\n [-394, 404, 295, 372, -86, 1025, -104, -142, -240, 574,... | 5 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[266, 20, -72, 6, 178, -98, 226, 186, -191, -61, -44, -169],\n [366, -28, 80, -206, 302, -414, 214, 478, -185, -211, 124, -143],\n [170, 174, -566, 626, -52, 748, 426, -526, -348, 330, -564, -368],\n [164, -56, 176, -260, 180, -404, 20, 388, -22, -194, 200, 6],\n [67... | 2 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[264, -1343, 685, 280, 738, 193, 546, 764, 39, 1968, -967, 13],\n [1021, -392, -1370, 36, 136, -336, 269, 426, -183, 947, 1127, -104],\n [-344, -1395, 107, 716, -92, 136, 343, 712, 812, 848, -919, -458],\n [1070, -77, -389, -588, 595, 81, 239, 488, -95, 707, 343, ... | 7 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[137, 163, 374, -185, 207, 271, -274, -353, 175, 159, 177, -18],\n [-36, -194, -76, 51, -17, -255, -37, 158, 102, -111, -103, -117],\n [180, -170, 548, -237, 367, -111, -637, -298, 606, 33, 89, -333],\n [54, 196, 128, -75, 49, 267, -13, -196, -60, 123,... | 2 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[586, 229, -1624, -213, -619, 285, 506, 108, -68, 296, -728, 1110],\n [-908, 1306, 43, 911, 451, -119, -944, -37, -617, 195, -287, -637],\n [-246, -582, 495, -1152, 387, -1321, -480, 235, 376, 565, -190, -101],\n [-567, 120, -1673, 367, 101, -197, -910, 215, 1777, -4... | 11 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-191, 250, 234, -345, 57, -226, -33, 64, -157, -133, -196, 88],\n [-26, -477, -150, -8, -318, -206, -27, 119, 178, -286, 29, 96],\n [-159, -263, -162, 101, -105, -320, -36, 743, -317, -27, -363, -188],\n [-43, 612, 19, 311, 548, 176, 32, 614, -705, 66... | 3 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-828, -125, 1285, -1888, -415, -362, -654, 230, 331, 532, -302, 291],\n [-442, -1436, 1040, 40, -513, -461, -411, -361, 1424, -271, -47, 241],\n [-20, 127, -512, 1095, -324, -345, 215, -978, 326, 398, 592, -1099],\n [-594, -610, -807, 1651, 146, 135, -12... | 10 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[187, -220, -141, 2, -188, 167, 132, -86, 256, -41, 223, -177],\n [462, -198, 60, -639, 525, 177, 546, 243, -90, -384, -360, 81],\n [-132, 22, -58, 247, -249, -27, -178, -115, 98, 138, 194, -75],\n [0, 66, 78, -123, 189, -45, 42, 87, -138, -54, -174, 9... | 2 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-25, 25, -54, -50, 15, 0, -49, -55, -43, 42, 97, 69],\n [86, -72, -8, 46, -60, 42, -28, -4, -94, -14, -38, 74],\n [-148, 146, -292, -278, 90, -6, -262, -298, -220, 230, 532, 364],\n [-209, 193, -230, -274, 135, -48, -185, -239, -83, 202, 473, 221],\n ... | 2 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[901, 493, 715, -538, 509, -308, 855, 446, 71, -639, -905, 226],\n [-860, 494, -339, 78, -1383, -339, 331, -1210, 296, 1049, 546, -650],\n [-922, -1002, 381, 1165, 7, -774, 721, -568, 177, -267, -931, -180],\n [1533, 17, 202, -354, 951, -10, 110, 573, ... | 7 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-394, -226, 458, -166, 307, 283, 855, 653, 678, -1080, -734, 1628],\n [141, -250, 662, 193, 7, -870, -534, 522, 559, -1409, 889, 112],\n [881, -788, -92, -682, -651, -137, 1161, 65, -1347, -125, -1023, 151],\n [320, 416, 140, 877, 117, 483, -770, -33,... | 10 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[255, -241, 325, 335, -323, 400, -159, 165, 85, 427, 7, 232],\n [-140, -502, 45, -32, -561, -173, 505, -166, 491, 27, 153, 698],\n [222, -591, 514, 264, -417, 378, -173, -61, -47, 464, 15, 402],\n [184, 408, -65, 225, 102, 233, -160, 362, 76, 137, -33,... | 4 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-544, 902, 738, 1007, 425, -230, -68, 499, 841, -501, -698, -1348],\n [275, -386, -334, 599, 286, -883, 42, 692, -100, 719, -1435, 418],\n [157, 351, 862, 22, -337, -193, 150, 345, 669, 299, -336, -130],\n [802, -381, -109, -328, 401, -1010, 388, -700, -57, 764, ... | 7 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[2, 677, 921, 802, 333, -315, 1958, 987, 286, -921, -459, 200],\n [-99, -815, 30, 330, -1352, 1506, 573, -103, -641, -151, 656, -107],\n [773, -734, 583, 171, -846, -843, 159, -205, -54, -438, 1280, 83],\n [1456, -428, 954, -1397, -781, -628, -557, -323, ... | 8 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[629, 550, 1197, 1475, -2088, 699, -105, -271, -191, -1356, 70, -449],\n [340, -702, -644, -55, 634, 79, -33, 718, -392, -229, 271, 800],\n [-198, -84, 701, -197, 134, -1183, 837, 75, 295, -137, 621, -381],\n [-934, 635, -867, -1097, 46, -24, 644, -501, 740, 751, ... | 10 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[151, 696, 287, 555, -594, -686, -656, 353, 511, -458, -311, 633],\n [-78, 719, -106, -163, -775, -547, -528, 43, 49, -358, 12, 407],\n [81, 401, 492, -517, 111, -219, 101, -794, -239, 361, 811, 272],\n [1153, 1524, 434, -388, -359, -1071, -265, 336, -... | 5 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[1687, -1316, -470, 911, 1514, -531, -1152, -1351, 1152, 1002, 527, 909],\n [-523, 191, 20, -33, -209, -726, 412, 529, -506, 10, -1666, -400],\n [630, -437, -1183, -28, 443, -320, -308, -597, 94, 871, 168, 77],\n [-502, 205, -19, -149, -1414, -272, 1471, -430, 458, -... | 10 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[384, -540, 675, 1623, 659, -382, 651, 546, -413, -539, 367, -629],\n [-1015, -1235, -1445, 1214, 768, -262, -521, -1376, 723, 555, 523, 292],\n [-474, 266, 968, 14, -435, 21, 766, -602, 186, 1600, -372, -620],\n [-210, -643, 557, 288, 971, -775, -738, -17, 138, -117... | 10 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-4, -133, 44, 170, 171, -46, 50, -424, 307, -299, 145, 260],\n [146, -67, 240, -36, 433, -88, -778, -474, -255, -29, 55, -10],\n [-367, -193, -422, -8, -283, -379, -547, -408, -583, 182, 288, 117],\n [89, 230, -264, -177, -629, 284, 665, 727, -195, 75... | 4 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[156, 677, -400, 20, -442, -121, 761, -319, -916, 357, 524, -563],\n [-1474, 716, 399, -67, -943, 213, 728, 183, -931, -740, 79, -677],\n [666, -659, -226, -1367, -645, -193, -77, 197, 1812, -125, -467, -630],\n [195, -463, 1165, 512, 1725, -1111, -413, 462, -315, 10... | 5 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[409, 413, 777, -684, 406, -929, 142, -46, -5, -241, 506, -828],\n [347, 256, -253, -284, 322, 1186, -373, 421, 173, 976, 131, -150],\n [354, -234, -582, 412, -235, 236, 140, 373, -22, 59, 61, -125],\n [-633, -282, -297, 424, -289, 434, -127, -260, -19... | 3 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[47, -158, -57, -110, 599, -300, -248, -214, 75, -278, -419, 644],\n [296, 393, 337, -83, -78, -42, -16, 388, 146, -70, 213, -291],\n [519, -16, -4, 51, -131, 96, 207, 443, 414, -508, 327, -183],\n [63, -636, -484, 75, 405, -72, 19, -297, 194, -508, -3... | 3 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-11, -68, -54, 93, 81, -205, -240, -154, 40, 6, 222, -245],\n [-375, 15, -441, 81, -312, -504, -72, -117, -342, -423, -75, -516],\n [-122, -161, -243, 246, 117, -625, -600, -403, 10, -93, 519, -725],\n [-441, 42, -504, 63, -399, -525, 0, -84, -420, -5... | 2 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[147, -126, 182, 56, -84, 0, 77, 91, -49, 140, 49, -28],\n [231, -198, 286, 88, -132, 0, 121, 143, -77, 220, 77, -44],\n [-84, 72, -104, -32, 48, 0, -44, -52, 28, -80, -28, 16],\n [420, -360, 520, 160, -240, 0, 220, 260, -140, 400, 140, -80],\n [189, -162, 234, 72... | 1 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-298, 153, 196, -1258, -122, -417, -798, -218, 600, 744, -37, 589],\n [752, -1240, -941, 1144, 347, -343, 319, -79, -369, -231, -197, -692],\n [1207, 608, 837, -808, 503, -757, -176, -395, -282, 1279, 817, 654],\n [-2057, -578, -859, 132, -200, 980, -... | 8 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-252, 822, 466, -627, -162, -684, 1214, -75, -18, 872, 33, -1185],\n [-670, -1057, -63, 836, 621, -849, -543, 516, -586, -132, -174, 891],\n [-570, -582, -911, -227, -651, 1339, -43, 276, -1153, -893, 272, -41],\n [40, -1175, -533, 842, -29, -875, -781, ... | 8 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-12, 60, 192, 72, -36, 276, -312, 24, 252, 216, 132, 132],\n [22, -110, -352, -132, 66, -506, 572, -44, -462, -396, -242, -242],\n [-16, 80, 256, 96, -48, 368, -416, 32, 336, 288, 176, 176],\n [19, -95, -304, -114, 57, -437, 494, -38, -399, -342, -209... | 1 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[436, -4, -225, 176, 272, 334, -100, 58, -1073, -114, 343, -462],\n [89, -368, 472, 657, -273, 460, 890, -652, -270, 495, 666, 663],\n [-685, -223, -62, 450, -308, -441, -258, 136, 433, 410, -91, 83],\n [-820, -204, -486, 944, -227, 211, 244, 149, -83, 80... | 5 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[694, -546, -119, 808, -216, 503, -644, -998, 31, 232, 328, -959],\n [-899, 293, 29, -403, 354, -334, 229, 1175, 68, 246, 161, -134],\n [181, 1189, -71, -435, -448, 468, 1611, 61, -874, -113, -1142, -511],\n [416, -1543, -509, 58, 852, -118, -1121, 422, 314, 558, 880... | 8 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[588, -904, -731, 1658, 88, 607, 1066, 90, -15, 633, 362, 1954],\n [278, -787, -167, 168, -1189, 456, -379, 296, 117, 179, 65, 622],\n [150, -852, -1551, -863, -1106, 1428, -45, 765, -449, -465, -375, -163],\n [-127, 548, -728, 127, 88, -641, 720, 11, ... | 11 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[598, 276, 674, -1524, 776, -70, -260, -252, 76, -78, 662, -306],\n [-561, 456, 560, -728, 606, 448, 54, -758, 161, -63, -49, -50],\n [64, 566, 107, -462, 894, -221, -268, -60, 1039, 176, 60, -617],\n [-917, -126, -176, 776, -293, 379, 277, -461, -198,... | 5 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[222, 51, 420, 95, 458, 168, 25, 921, -545, 1121, -238, 821],\n [-1063, -1171, -556, -145, 834, -128, 521, -1708, 1353, -710, -1099, 177],\n [137, 579, 407, -472, 382, 515, 656, -1010, 335, -497, 60, 625],\n [682, -50, 324, -818, -1260, 1692, -829, 149... | 11 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-121, 2199, -805, 561, -390, 977, 920, 325, 255, -490, -128, -94],\n [-317, -607, 655, -848, 113, -245, -128, -303, -718, 81, -183, -445],\n [506, 177, 28, -19, -680, 56, 1014, 62, 461, 223, -401, -722],\n [879, -1829, -346, 693, -939, -1373, -1209, -449, -285, 980,... | 7 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-1254, -953, -25, 888, 400, -499, -418, 556, -244, -652, -45, -938],\n [590, 170, -381, -144, 309, 562, -734, -351, 1376, 37, 359, 634],\n [99, -276, -931, -95, 0, -845, -832, 1186, 577, -482, 228, -151],\n [481, 392, -24, -579, -370, 1080, -392, -718... | 9 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-749, 971, -27, 285, -1448, 776, -488, -292, 607, 20, 42, 516],\n [1009, -74, 13, -459, 1748, 721, 744, 1046, -1165, 1055, -1059, -1381],\n [-88, -672, 1731, 637, -2108, -1435, -933, -259, 787, -768, 413, 1656],\n [-659, 1185, 1196, -211, -1218, 464, ... | 11 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[152, 286, 974, 166, 300, -132, -214, -272, 408, 248, 112, -296],\n [-359, -163, -279, 365, -721, -92, -170, -270, 319, 71, 743, 40],\n [-305, 782, 381, 551, 257, -881, -551, -411, 25, 545, -460, -467],\n [-146, 1080, 1881, 701, 228, -737, 34, -1121, 1... | 5 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-12, -336, 504, 672, 660, 48, 480, -36, 696, 552, 672, -156],\n [-293, -482, -222, -8, -31, -718, 488, -339, 362, -76, 370, -29],\n [-18, -75, 60, 96, 93, -33, 96, -24, 120, 75, 117, -24],\n [-234, -260, -380, -272, -286, -604, 208, -262, 20, -280, 36, 38],\n [126, ... | 2 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-76, -453, -558, 160, 262, -454, 301, -631, -295, -320, -688, 370],\n [197, 444, 281, -394, -249, 385, -117, 779, 278, 198, 738, -139],\n [-173, -609, 120, 473, 344, -143, -172, -512, -395, 134, -461, -196],\n [-70, 57, -148, 68, -36, -140, 105, -259, 47... | 3 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-127, -1061, 1047, 1357, -1354, 1299, -162, -187, 337, 1251, -312, 562],\n [679, 1649, -171, -1090, 696, 568, -348, 704, 520, 77, 672, 1388],\n [1274, -195, 289, 516, 532, -553, 39, -911, 319, 736, 552, -379],\n [-414, -156, -1689, -1265, 47, -411, 12... | 10 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-33, -485, 390, -753, 1088, 258, -79, -1011, -82, 236, -183, -155],\n [588, -94, 290, 420, -494, 222, 154, -846, 112, -128, -90, 68],\n [-445, -343, 104, -519, 355, 731, -496, 197, -64, 499, -564, -820],\n [123, -31, 75, -51, -292, 451, -282, 524, -128, 342, -328... | 5 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[72, -87, -228, 313, -208, -180, 261, 361, 75, 260, -227, 65],\n [9, -59, 10, -163, 51, 93, -285, -311, -135, -314, 193, -194],\n [-180, 405, 420, 5, 220, 0, 585, 485, 375, 700, -295, 625],\n [18, -93, 0, -221, 62, 126, -405, -437, -195, -448, 271, -283],\n [54, -... | 2 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[813, 267, 960, 197, -1154, 442, 109, -730, 147, 51, -178, -142],\n [80, 562, 1063, 249, -408, 539, 802, -1223, 103, -28, 302, -498],\n [546, -478, -95, 269, 106, -866, -224, -187, -69, -166, 134, 373],\n [273, 574, 329, 796, 128, -619, -274, -650, 207, -584, -401... | 5 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[266, 271, -23, 961, 373, 650, 455, -245, -500, -1436, -160, -416],\n [48, -578, -73, 329, -711, 128, 438, -966, -98, -526, -1150, 431],\n [-175, 796, 440, 626, 287, 45, 798, 39, -650, -433, -1, -271],\n [738, -746, 267, 106, 676, -71, 283, 121, -72, 3... | 5 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[640, 1677, -170, 512, 229, -1581, -76, 1622, 372, -1142, 1555, 1757],\n [24, -520, -427, -343, -492, 316, 303, 133, -249, 872, -218, 295],\n [778, 1307, 278, 252, -1523, 533, -827, -88, -574, -418, -431, 455],\n [-746, -1066, -266, -1172, -702, 466, 428, 1026, 25... | 9 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[480, -505, 526, 20, 484, 508, -57, -227, -818, 21, 181, 628],\n [1133, 1798, 982, 1056, 1103, -237, 862, 7, 1070, -1352, 1302, -827],\n [1008, 822, 1067, 365, 802, 408, 673, 90, -86, -1153, 641, 31],\n [317, -1039, 909, 254, 80, 292, -1119, -572, -1572, 403, -418, 7... | 8 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[1353, -320, 346, 788, -1090, -184, -866, 1423, 294, -1094, -904, 965],\n [774, 228, 1066, -960, -280, -641, 166, 268, -1176, -804, 260, -860],\n [453, 126, -756, 95, -1624, -534, -425, 1250, -1311, -2107, -561, 964],\n [-1243, -326, -2049, 47, 873, -48, 811, -984, -... | 10 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-43, 109, -57, 97, 18, -293, 67, 232, 512, 412, 398, 465],\n [631, -799, -587, 547, 676, -74, -562, -453, -1017, -660, 567, -1165],\n [1543, 52, 1198, -335, -722, 964, -189, -321, 957, 1194, 124, 1374],\n [923, 269, 249, -3, -93, -740, -459, -470, 888, 1... | 7 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-174, 197, -1134, 1138, 9, 473, -729, 266, 1336, -302, 384, -86],\n [-9, -757, 731, 1226, 273, 51, 953, -824, -539, 1250, 724, -816],\n [312, 1251, 292, 1016, 1061, -77, 1134, -110, -122, -328, 426, 83],\n [-196, 728, 327, 829, -523, 8, 740, 286, -951, 2... | 10 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[441, -399, -462, -210, -84, -525, 0, -126, -420, 546, 231, -21],\n [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n [546, -494, -572, -260, -104, -650, 0, -156, -520, 676, 286, -26],\n [252, -228, -264, -120, -48, -300, 0, -72, -240, 312, 132, -12],\n [-84, 76, 88, 40, 16, 1... | 1 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[490, -311, -678, 52, 1022, 43, 48, 333, -209, -27, 266, 4],\n [396, -434, -737, -266, 697, 134, -19, 506, -27, -186, -11, 115],\n [-222, -441, -456, 231, 317, -52, 337, -160, -171, -135, -72, -9],\n [186, -158, -338, 235, 609, 13, 69, 43, -210, 54, 24... | 4 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-772, 499, 21, -676, -1908, -172, 407, -1042, 611, 923, 1552, 170],\n [-303, 597, -112, 635, -508, 887, 1042, 1096, 195, 767, 242, 484],\n [-1044, 251, -639, 391, 226, 957, -1477, 487, -82, -152, -342, -1251],\n [244, -542, 653, -53, 464, -1275, 1208, 420, 481, 712,... | 10 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[849, -286, 349, -73, -165, -337, 1471, -395, 655, 569, 1025, 955],\n [34, 811, 872, -1324, 798, 123, 745, 443, 515, 2255, 409, -281],\n [575, 432, -791, 950, 28, -319, 616, 479, 652, 522, 369, -501],\n [384, 205, -48, -1014, -1363, -371, 564, -1605, 679,... | 11 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[566, -586, 164, -280, 171, 478, -365, 760, -349, -93, 166, 1512],\n [926, -279, -91, 507, -1079, 566, 520, 51, 814, -136, 348, 0],\n [89, 79, -377, -103, -284, -139, -19, -107, 475, 85, 506, -347],\n [82, -852, 997, -169, -838, -109, -236, -769, 73, -697, 331, 97],\... | 10 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[114, 478, 155, 322, 4, 0, -110, -115, -800, 337, 655, -764],\n [341, 727, 225, 567, -195, 351, -321, 290, -580, 738, 165, -601],\n [-279, -905, -167, -673, 189, -453, 293, -284, 718, -852, -237, 673],\n [242, 534, 175, 410, -124, 216, -226, 165, -500, 521, 215, -... | 3 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-33, 249, 764, 1017, -157, -904, -1271, -444, -1538, 843, 1280, -960],\n [772, -314, -1189, 26, -1166, 1644, -2046, -929, -1350, 918, 460, 802],\n [-57, 571, 1262, 457, 97, -1007, 109, 709, 280, 476, -361, -1244],\n [-724, -412, -25, 1286, 152, 1135, -760, -1163,... | 9 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[1169, 833, -157, -324, 627, -261, 441, 674, -583, -219, 908, -175],\n [519, 155, -120, 469, -256, -962, 1137, 503, -1298, -42, 598, -168],\n [-866, 277, 454, -460, 278, -1269, 109, 466, 70, -76, -633, 572],\n [278, 709, -518, -231, 218, 440, -141, 218... | 5 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-965, -343, -1559, 2569, 1661, 931, -351, 148, -152, -834, 1078, 876],\n [808, 321, 594, -565, -536, -993, 1308, 185, -983, 21, -194, -1167],\n [440, 330, -716, 309, 263, -127, -322, -654, 327, 822, 376, 653],\n [639, -450, -1001, 943, -130, 1046, -51, -196, -569... | 10 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-2, -6, -1271, -205, -160, 698, -1519, -125, 1216, -927, -671, 290],\n [-1237, 628, 843, -307, -275, 959, 146, -2082, -125, -748, 396, -588],\n [-486, -399, -703, -51, 511, -1075, -1117, -375, 449, 707, 503, -1060],\n [-296, -995, -1198, -1030, 1018, -658, -527, ... | 11 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-630, 126, -336, -102, 270, 372, 594, -186, -144, -684, 126, 168],\n [340, 84, 213, -11, -67, -170, -345, 142, 170, 380, -106, 55],\n [690, 294, 458, -76, -72, -320, -720, 322, 420, 780, -246, 230],\n [555, -399, 236, 215, -387, -386, -477, 85, -48, 582, -39, -42... | 2 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[206, 306, 542, 405, -809, -352, 707, 1005, -424, 1351, -852, -340],\n [428, 216, -352, -93, 1222, -426, 497, -1090, -260, 153, 929, -18],\n [-23, 499, -730, 115, -858, 533, 203, -348, 801, 73, 271, -293],\n [13, 29, -339, 17, -1175, -26, 957, 215, 286, -568, -266... | 6 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[362, 641, 484, 197, 310, 448, 882, -575, 537, -583, 209, 824],\n [-783, -1241, -245, -343, 117, 55, -868, -292, 253, -307, -651, -213],\n [688, 75, -554, -315, -394, 84, -109, 225, -214, -92, 138, -186],\n [-794, -1400, -531, 73, 333, 109, -750, -137, 39... | 6 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-1134, -819, -636, -1322, 1462, 551, 868, -628, 324, -539, 347, -985],\n [-949, -863, -952, -363, -720, -648, 395, -740, 60, 575, -924, -68],\n [-262, -402, -869, 74, -1234, 237, -661, -565, 3, 364, -259, -1272],\n [271, -551, 12, -727, 207, -1492, -12, 255, 47, -44... | 11 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-154, -284, -414, -78, -67, 100, 380, 52, 276, 266, -268, -149],\n [68, 202, 69, 483, 434, 43, -94, -500, -495, -244, -169, 607],\n [142, 260, 253, -161, 133, 111, -452, 24, -65, -316, 421, -208],\n [-88, -199, -299, -457, -160, 198, 93, 312, 497, 147, 1... | 3 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[191, 1440, 237, -286, 1795, -1351, -383, 1329, 362, 1101, -608, -862],\n [-289, -814, -52, 164, -839, 350, -483, -559, -268, -577, -138, 318],\n [248, 401, 273, -269, 224, 330, 272, -349, -273, 393, 283, -460],\n [-219, 929, -872, 1010, -447, -330, 600, -350, 160... | 7 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[-959, -71, -955, -699, 269, 867, -692, 513, -1123, 426, -65, -270],\n [-253, 277, 167, -713, -191, 379, -988, 1421, -1061, -870, 361, -978],\n [-289, 357, -318, -240, -155, 446, -205, 109, -350, 62, -308, -303],\n [596, 275, 94, 583, -309, -274, 667, -836, 803, 5... | 5 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[482, -9, 1331, -242, -9, -576, -1263, -742, 107, -104, 315, 154],\n [357, -615, 850, 948, -1287, -362, -409, 1649, 473, 620, 161, 111],\n [-85, 673, 23, -80, 912, 114, 208, 82, -53, 1353, -487, 11],\n [-146, 86, 824, 743, 959, -697, 42, -524, 538, 38, 1088, -623],\n... | 9 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[447, -248, -802, -990, -650, -902, 1365, 1218, -791, 1414, 226, 1],\n [288, 90, -1096, -258, -331, -498, 1139, 1500, -594, 711, 111, 725],\n [306, -965, 186, -454, 205, -354, 448, 24, 51, 507, 77, -625],\n [-193, 405, 820, 781, 617, -606, 198, 863, -355, 633, -129, ... | 8 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[-1076, -765, -1012, 494, -477, 1162, -892, -171, 470, -123, -421, -443],\n [-517, 52, -714, -538, 166, 80, -412, 869, 374, 345, -170, -412],\n [-312, 51, -195, -155, 168, 74, -161, 1161, 30, 66, 323, -449],\n [-721, -641, -196, 1196, -1131, 1189, -535, -... | 6 | MATH |
[
{
"content": "Find the rank of the matrix:\n[[-123, -410, -960, -907, -339, 571, -284, 526, -116, 486, 367, 128],\n [851, 905, 302, -793, -49, 648, 96, 532, 410, 237, -436, -992],\n [-37, -132, 125, 1918, 82, 490, 47, 460, 16, -1117, 99, -374],\n [145, 320, -180, -509, -219, 276, -393, 1056, -95, -983, -608, -1... | 6 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-533, 1343, 320, 34, 347, -845, -1166, 992, -1152, 86, 1277, -323],\n [-56, -387, 634, -199, 424, 300, -273, 486, -448, 798, -724, 119],\n [60, 795, 875, 1348, -428, -1501, -1822, 640, -897, -77, 416, 0],\n [-20, -481, 150, 750, -343, 340, -321, 16, 3... | 7 | MATH |
[
{
"content": "Compute the rank of the given 12x12 matrix:\n[[-64, 128, -208, 184, -200, -48, 168, -8, 136, -72, -176, 8],\n [-64, 128, -208, 184, -200, -48, 168, -8, 136, -72, -176, 8],\n [-120, 240, -390, 345, -375, -90, 315, -15, 255, -135, -330, 15],\n [-144, 288, -468, 414, -450, -108, 378, -18, 306, -162, ... | 1 | MATH |
[
{
"content": "What is the rank of the matrix:\n[[1032, -451, -1313, -468, -386, 548, -401, 472, -686, 212, -152, -525],\n [354, 643, -422, -330, 364, 1008, -945, 1329, 352, 241, -113, -628],\n [412, 6, 19, -80, 187, 278, -63, 110, -502, 322, 4, -125],\n [2, 102, -106, -185, -93, 676, -288, 343, -387, -563, 403,... | 8 | MATH |
[
{
"content": "Determine the rank of the following matrix:\n[[-66, -114, -66, -96, -156, -30, -54, 54, -96, -42, -102, 126],\n [-253, -437, -253, -368, -598, -115, -207, 207, -368, -161, -391, 483],\n [88, 152, 88, 128, 208, 40, 72, -72, 128, 56, 136, -168],\n [-286, -494, -286, -416, -676, -130, -234, 234, -416... | 1 | MATH |
[
{
"content": "Calculate the rank of matrix A where A =\n[[621, 662, -866, -299, 1376, -21, 172, -434, 1014, 1663, -1192, 554],\n [-47, 424, -477, -61, -218, 936, -514, -75, -13, 225, -90, -298],\n [-593, -892, -429, 438, 1204, -329, -630, -239, -131, -852, 462, 1235],\n [-744, 1022, -455, -197, -859, 122, 506, ... | 9 | MATH |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.