I am trying to convert MATLABs eig function into python. I am trying to return the same results as MATLABs eig does in python, and I am using numpy.linalg.eig to try and do this, but it won't return the same values & vectors. I am currently using matlab engine to call the matlab code from jupyter notebooks.
This is my jupyter notebooks code:
L_by_L_conj_trans = np.matmul(L, L_transpose_conjugate)
L_by_L_matlab = matlab.double(L_by_L_conj_trans.tolist())
print("\nTHE MATRIX:\n")
print(L_by_L_conj_trans)
from numpy.linalg import eig
values, vectors = eig(L_by_L_conj_trans)
e_values_and_e_vectors = eng.eig(L_by_L_matlab, nargout=2)
e_values = eng.diag(e_values_and_e_vectors[1])
e_vectors = e_values_and_e_vectors[0]
temp_e_values = eng.diag(e_values_and_e_vectors[1])
print("\nE VECTOR FOR MATLAB ENG:")
print(np.around(e_vectors, decimals = 4))
print("\n E VECTOR FOR NUMPY.EIG:")
print(np.around(vectors, decimals = 4))
print("\n\nE VALUES FOR MATLAB ENG:")
print(np.around(temp_e_values, decimals = 4))
print("\nE VALUES FOR NUMPY.EIG:")
print(np.around(values, decimals = 4))
these are the outputs.
THE MATRIX:
[[ 1672.2368 1304.6274 -66.8953 -521.5597 -585.8664 -790.4093
-408.2504 -885.7773 -273.2319 1314.0962 754.2331 1005.8871
393.6987 566.7153 289.5906 766.5018 59.1187 1305.7717
1085.8418 1061.5296 -981.1831 -1108.7448 -1035.0104 -874.2488
-1152.0593 -587.4416 -925.0897 -1058.5672 110.7806 -436.2941]
[ 1304.6274 1638.5357 -508.4575 -32.5526 -772.4504 -559.9273
-929.1771 -360.9589 -239.6309 768.5568 1327.8857 406.7315
965.1604 312.0877 603.4783 63.0486 770.1663 1000.8222
1315.5369 1080.7256 -1121.3858 -1013.4135 -1056.66 -1160.3771
-864.6467 -959.508 -598.2808 -1047.6508 -435.0306 102.7449]
[ -66.8953 -508.4575 1264.7399 -415.9097 954.5501 84.8193
1082.8333 -970.3041 550.9171 559.8939 -579.5 182.3674
-879.7133 765.624 -32.4137 915.6522 -919.4347 -259.3591
-578.1347 122.128 -75.245 -568.1983 -336.3324 900.2402
-327.6103 340.3344 -979.9465 395.3746 486.6892 -1108.709 ]
[ -521.5597 -32.5526 -415.9097 1255.2618 69.2946 935.0607
-889.8419 977.6712 542.3181 -561.3287 553.433 -875.0436
246.4148 -46.6133 751.6661 -908.667 907.7992 -571.706
-269.069 110.9489 -577.549 -66.6523 -332.4622 -383.3139
891.2615 -970.9352 315.0077 375.1399 -1074.2033 566.13 ]
[ -585.8664 -772.4504 954.5501 69.2946 1116.7921 620.8967
736.708 -423.9882 769.1498 -60.1744 -605.2978 -394.0691
-864.2684 475.785 75.9278 200.7536 -689.2869 -658.3288
-818.0084 -147.6736 118.1881 -148.1829 -20.6568 1019.1842
338.4077 162.0875 -553.5004 906.8372 -20.187 -802.6226]
[ -790.4093 -559.9273 84.8193 935.0607 620.8967 1103.3559
-292.8921 585.3663 766.5463 -582.738 -79.4964 -877.3192
-351.2562 73.8414 464.7332 -668.9234 178.7148 -796.5485
-685.1508 -153.1674 -158.6839 134.5685 -15.6088 298.8065
1031.2407 -527.1156 128.1918 899.4578 -786.0648 19.7015]
[ -408.2504 -929.1771 1082.8333 -889.8419 736.708 -292.8921
1772.2627 -954.2527 -29.5541 115.3221 -1143.484 390.5774
-978.9792 117.1943 -745.1069 957.7335 -1266.6559 -308.4591
-696.3893 -569.8382 887.3478 94.3312 466.4671 1329.8271
-358.8517 1463.1915 -560.0082 409.2915 1312.3746 -1003.7211]
[ -885.7773 -360.9589 -970.3041 977.6712 -423.9882 585.3663
-954.2527 1818.3831 -164.121 -1151.2921 119.3964 -890.1043
529.1385 -836.7234 9.2113 -1263.3481 987.7814 -619.946
-262.0244 -627.2201 149.6067 966.6453 540.8085 -457.2442
1188.2508 -504.024 1575.8039 279.5336 -880.6917 1524.4232]
[ -273.2319 -239.6309 550.9171 542.3181 769.1498 766.5463
-29.5541 -164.121 918.228 86.9774 66.3333 -499.7766
-462.5373 638.2798 639.4247 -74.0544 -89.1164 -493.4879
-500.8334 347.2257 -511.739 -498.1427 -509.3759 300.7608
342.898 -559.5687 -580.7794 577.2742 -541.9846 -518.3992]
[ 1314.0962 768.5568 559.8939 -561.3287 -60.1744 -582.738
115.3221 -1151.2921 86.9774 1497.8875 365.6539 944.721
-139.689 956.6734 311.327 1179.9674 -358.767 841.9698
489.3426 1021.8401 -922.0732 -1217.3966 -1070.9645 -390.6421
-1094.2483 -395.6316 -1224.1635 -730.2345 318.8729 -873.7583]
[ 754.2331 1327.8857 -579.5 553.433 -605.2978 -79.4964
-1143.484 119.3964 66.3333 365.6539 1487.3986 -115.7606
983.3692 278.7341 934.4928 -358.5228 1175.5383 453.0208
885.7007 994.8795 -1200.2441 -912.7615 -1054.4111 -1132.7298
-392.9712 -1217.3632 -381.4163 -745.8815 -838.4371 378.208 ]
[ 1005.8871 406.7315 182.3674 -875.0436 -394.0691 -877.3192
390.5774 -890.1043 -499.7766 944.721 -115.7606 1388.235
-28.9094 187.0458 -377.0809 1125.4583 -493.102 1035.0343
542.4916 248.9978 -202.7081 -549.4141 -377.0669 -271.0633
-1007.1828 366.4488 -609.8339 -767.8338 1007.238 -494.9654]
[ 393.6987 965.1604 -879.7133 246.4148 -864.2684 -351.2562
-978.9792 529.1385 -462.5373 -139.689 983.3692 -28.9094
1351.1613 -372.4145 222.5584 -530.0618 1167.9523 470.4503
996.3646 248.9961 -561.3745 -224.2025 -390.1503 -1012.3292
-263.3968 -668.4316 376.4798 -747.0418 -496.7554 1019.7668]
[ 566.7153 312.0877 765.624 -46.6133 475.785 73.8414
117.1943 -836.7234 638.2798 956.6734 278.7341 187.0458
-372.4145 1058.6183 606.9181 676.3046 -280.1271 123.5983
-44.9316 875.7814 -848.958 -1048.8959 -953.8193 -7.9936
-510.2376 -544.6276 -1112.8701 -110.533 -134.0033 -860.4531]
[ 289.5906 603.4783 -32.4137 751.6661 75.9278 464.7332
-745.1069 9.2113 639.4247 311.327 934.4928 -377.0809
222.5584 606.9181 1053.8515 -253.7967 648.956 -61.7748
139.492 874.9251 -1056.5503 -853.0907 -957.8459 -550.591
6.1055 -1100.1048 -575.3495 -117.2291 -848.0141 -103.71 ]
[ 766.5018 63.0486 915.6522 -908.667 200.7536 -668.9234
957.7335 -1263.3481 -74.0544 1179.9674 -358.5228 1125.4583
-530.0618 676.3046 -253.7967 1538.1741 -875.7897 558.2818
51.2102 358.2182 -267.905 -821.8163 -558.7778 249.1165
-1024.2857 454.2618 -1082.7859 -449.29 1079.0482 -1035.7061]
[ 59.1187 770.1663 -919.4347 907.7992 -689.2869 178.7148
-1266.6559 987.7814 -89.1164 -358.767 1175.5383 -493.102
1167.9523 -280.1271 648.956 -875.7897 1533.8702 31.1288
566.0777 329.5361 -810.013 -264.7564 -545.2707 -1059.5201
215.8949 -1084.2595 457.1963 -468.0846 -977.8071 1152.2603]
[ 1305.7717 1000.8222 -259.3591 -571.706 -658.3288 -796.5485
-308.4591 -619.946 -493.4879 841.9698 453.0208 1035.0343
470.4503 123.5983 -61.7748 558.2818 31.1288 1345.0612
1096.2847 544.6469 -562.8242 -662.655 -599.8857 -728.5503
-935.051 -251.9314 -506.8401 -920.4689 294.3521 -162.6059]
[ 1085.8418 1315.5369 -578.1347 -269.069 -818.0084 -685.1508
-696.3893 -262.0244 -500.8334 489.3426 885.7007 542.4916
996.3646 -44.9316 139.492 51.2102 566.0777 1096.2847
1394.7885 582.3308 -677.5779 -612.862 -631.079 -957.5032
-782.1503 -534.579 -271.883 -957.3816 -130.2972 264.3925]
[ 1061.5296 1080.7256 122.128 110.9489 -147.6736 -153.1674
-569.8382 -627.2201 347.2257 1021.8401 994.8795 248.9978
248.9961 875.7814 874.9251 358.2182 329.5361 544.6469
582.3308 1261.4653 -1208.7132 -1214.5693 -1209.1391 -720.3987
-701.0027 -983.0365 -999.2312 -622.8998 -451.8526 -455.4328]
[ -981.1831 -1121.3858 -75.245 -577.549 118.1881 -158.6839
887.3478 149.6067 -511.739 -922.0732 -1200.2441 -202.7081
-561.3745 -848.958 -1056.5503 -267.905 -810.013 -562.8242
-677.5779 -1208.7132 1949.046 1563.2136 1785.1945 988.0245
420.9193 1630.2179 885.1134 586.3745 752.4566 29.0243]
[-1108.7448 -1013.4135 -568.1983 -66.6523 -148.1829 134.5685
94.3312 966.6453 -498.1427 -1217.3966 -912.7615 -549.4141
-224.2025 -1048.8959 -853.0907 -821.8163 -264.7564 -662.655
-612.862 -1214.5693 1563.2136 1948.3819 1789.3347 456.9566
950.6646 862.9705 1626.6346 601.1836 64.697 726.1729]
[-1035.0104 -1056.66 -336.3324 -332.4622 -20.6568 -15.6088
466.4671 540.8085 -509.3759 -1070.9645 -1054.4111 -377.0669
-390.1503 -953.8193 -957.8459 -558.7778 -545.2707 -599.8857
-631.079 -1209.1391 1785.1945 1789.3347 1834.4847 717.0277
684.8884 1231.5105 1251.0325 601.1818 387.9073 364.679 ]
[ -874.2488 -1160.3771 900.2402 -383.3139 1019.1842 298.8065
1329.8271 -457.2442 300.7608 -390.6421 -1132.7298 -271.0633
-1012.3292 -7.9936 -550.591 249.1165 -1059.5201 -728.5503
-957.5032 -720.3987 988.0245 456.9566 717.0277 1504.9006
324.7611 1060.6166 -219.9223 997.901 557.4361 -779.1317]
[-1152.0593 -864.6467 -327.6103 891.2615 338.4077 1031.2407
-358.8517 1188.2508 342.898 -1094.2483 -392.9712 -1007.1828
-263.3968 -510.2376 6.1055 -1024.2857 215.8949 -935.051
-782.1503 -701.0027 420.9193 950.6646 684.8884 324.7611
1464.3562 -217.0687 958.3422 1009.1323 -740.089 543.7288]
[ -587.4416 -959.508 340.3344 -970.9352 162.0875 -527.1156
1463.1915 -504.024 -559.5687 -395.6316 -1217.3632 366.4488
-668.4316 -544.6276 -1100.1048 454.2618 -1084.2595 -251.9314
-534.579 -983.0365 1630.2179 862.9705 1231.5105 1060.6166
-217.0687 2028.4758 208.8387 231.2736 1498.3925 -432.993 ]
[ -925.0897 -598.2808 -979.9465 315.0077 -553.5004 128.1918
-560.0082 1575.8039 -580.7794 -1224.1635 -381.4163 -609.8339
376.4798 -1112.8701 -575.3495 -1082.7859 457.1963 -506.8401
-271.883 -999.2312 885.1134 1626.6346 1251.0325 -219.9223
958.3422 208.8387 2032.4677 198.9546 -342.8214 1510.6592]
[-1058.5672 -1047.6508 395.3746 375.1399 906.8372 899.4578
409.2915 279.5336 577.2742 -730.2345 -745.8815 -767.8338
-747.0418 -110.533 -117.2291 -449.29 -468.0846 -920.4689
-957.3816 -622.8998 586.3745 601.1836 601.1818 997.901
1009.1323 231.2736 198.9546 1239.2189 -282.8466 -282.1859]
[ 110.7806 -435.0306 486.6892 -1074.2033 -20.187 -786.0648
1312.3746 -880.6917 -541.9846 318.8729 -838.4371 1007.238
-496.7554 -134.0033 -848.0141 1079.0482 -977.8071 294.3521
-130.2972 -451.8526 752.4566 64.697 387.9073 557.4361
-740.089 1498.3925 -342.8214 -282.8466 1740.6614 -629.8207]
[ -436.2941 102.7449 -1108.709 566.13 -802.6226 19.7015
-1003.7211 1524.4232 -518.3992 -873.7583 378.208 -494.9654
1019.7668 -860.4531 -103.71 -1035.7061 1152.2603 -162.6059
264.3925 -455.4328 29.0243 726.1729 364.679 -779.1317
543.7288 -432.993 1510.6592 -282.1859 -629.8207 1778.6173]]
E VECTOR FOR MATLAB ENG:
[[-0.1826 0.0415 0.0073 -0.0526 -0.2615 0.1539 -0.1883 0.0069 -0.3068
0.1423 -0.0983 -0.1769 0.2225 0.003 0.0107 0.3313 -0.1421 -0.3593
-0.1252 -0.0403 0.2294 0.1265 0.3098 0.0134 -0.0568 -0.2024 -0.2167
0.1255 -0.0792 -0.2744]
[-0.1826 0.0664 0.0187 0.0602 0.392 0.0876 -0.1551 -0.226 0.2537
-0.1418 0.0705 0.1744 0.2198 -0.1101 0.0564 0.2404 -0.1873 0.297
-0.1163 0.0108 -0.3147 0.0443 0.2449 -0.0503 -0.0203 0.194 -0.2205
0.1039 0.0763 -0.2771]
[-0.1826 -0.2298 -0.0438 0.3856 0.0433 0.1023 0.0927 0.0579 -0.1799
0.2621 0.3516 -0.0832 0.0864 -0.2361 0.1442 -0.0022 -0.2974 0.0129
0.3003 0.0619 -0.0843 0.0183 -0.0568 -0.3352 0.0361 -0.0046 0.1397
-0.2018 -0.2368 0.0111]
[-0.1826 -0.21 -0.0656 -0.3483 -0.0269 0.1421 0.0785 -0.1322 0.2117
0.1056 0.4019 0.0094 0.1098 0.2667 -0.0352 0.2498 0.08 -0.0348
0.3517 0.0177 0.096 0.1098 0.0089 0.3478 -0.0279 0.0051 0.1206
-0.2186 0.2257 0.0038]
[-0.1826 0.4032 0.0412 -0.4674 0.1237 -0.2957 0.2258 0.0724 -0.0078
0.1753 -0.0743 -0.0162 0.0692 0.1282 0.158 0.0925 -0.3037 0.0316
-0.107 0.1154 0.0583 -0.157 -0.0754 -0.2327 -0.1461 0.0454 -0.0155
-0.283 -0.1248 0.0918]
[-0.1826 0.4003 0.0386 0.4908 -0.2827 -0.1577 0.1636 0.0332 0.1385
-0.1958 0.0572 0.0422 0.0606 -0.1543 0.0412 0.2903 0.1485 -0.0444
-0.0071 -0.1521 -0.027 -0.1069 -0.0463 0.2252 -0.1841 -0.0617 -0.0277
-0.2917 0.1086 0.0885]
[-0.1826 0.0607 -0.0321 -0.1778 0.0739 0.1155 0.2033 0.1267 -0.091
-0.3598 -0.157 0.1075 0.1933 -0.2063 -0.1923 0.0082 0.317 -0.2151
0.2077 0.181 -0.1113 0.1753 0.2834 -0.1042 -0.0275 0.2128 0.226
-0.0027 -0.3013 0.1357]
[-0.1826 0.0525 -0.0089 0.1494 -0.0622 0.1396 0.1612 0.037 0.1508
0.0959 -0.4364 -0.1293 0.1959 0.157 -0.0424 -0.2856 -0.2631 0.2637
0.1572 -0.0701 0.0453 0.1301 0.3169 0.0033 -0.0069 -0.2062 0.2483
0.0238 0.3107 0.1273]
[-0.1826 -0.5533 -0.0399 -0.0124 0.0307 -0.1319 -0.2158 0.0559 0.0263
-0.2146 -0.4519 0.0466 0.1553 -0.0314 0.0431 0.1466 -0.0286 -0.0071
0.0332 -0.0001 0.0752 -0.3907 -0.1571 0.0205 0.0181 -0.0099 -0.0396
-0.3187 -0.0091 -0.0121]
[-0.1826 -0.077 -0.025 0.101 0.3459 -0.0993 0.168 0.4549 0.2062
-0.0851 0.0458 0.0999 -0.1458 0.2768 0.0957 0.0327 0.1237 -0.0964
-0.0925 -0.3301 0.1159 0.2269 0.0149 -0.0722 0.2014 -0.2797 -0.027
-0.0127 -0.1762 -0.2282]
[-0.1826 -0.094 -0.0395 -0.1248 -0.4195 0.0264 0.0411 0.4529 0.1518
0.0228 -0.0234 -0.0753 -0.209 -0.1895 0.228 -0.0478 -0.0548 0.1072
-0.1489 0.3034 -0.1782 0.1749 -0.0165 0.0901 0.1657 0.2858 -0.0478
-0.0224 0.1693 -0.2313]
[-0.1826 -0.0027 -0.0019 0.0172 -0.0322 0.0756 0.0458 0.0465 -0.1913
-0.0468 0.1034 0.2284 0.3941 0.0596 0.131 -0.1675 0.1238 0.3103
-0.2141 0.2923 0.0862 0.0199 -0.3367 0.2372 -0.1922 -0.2841 0.1374
0.2085 -0.1837 -0.1247]
[-0.1826 0.0013 -0.0048 -0.0211 0.0412 0.0844 0.0448 -0.0889 0.2033
0.1457 -0.0428 -0.2958 0.3212 -0.0615 0.0944 -0.1528 0.2349 -0.2912
-0.1317 -0.3078 -0.0238 -0.0012 -0.3759 -0.2338 -0.1354 0.2965 0.1282
0.1723 0.1978 -0.1276]
[-0.1826 0.2821 0.028 -0.1657 -0.2474 0.3454 -0.2994 -0.0994 0.091
-0.3156 0.1565 0.1149 -0.0292 0.0254 -0.02 -0.369 -0.101 -0.0073
0.099 -0.1975 0.0544 -0.1913 -0.074 -0.1488 0.2771 -0.1064 -0.0276
-0.2126 -0.1195 -0.1438]
[-0.1826 0.2809 0.0487 0.146 0.3831 0.1877 -0.1693 0.1026 -0.2139
0.3592 -0.1486 -0.1412 -0.0952 0.013 -0.1751 -0.0506 0.3049 0.025
0.0758 0.2452 0.0334 -0.1635 -0.0477 0.2111 0.2378 0.097 -0.0445
-0.223 0.0999 -0.1478]
[-0.1826 0.0463 0.042 -0.1197 -0.1352 -0.1017 -0.1287 -0.3545 0.068
0.1572 -0.2818 -0.1011 -0.3011 -0.1252 0.0106 0.2613 0.1462 0.2234
0.1172 -0.1155 -0.2129 0.2866 -0.2135 -0.0314 0.0769 -0.2203 0.2542
0.0368 -0.2837 -0.1029]
[-0.1826 0.0516 0.0526 0.1474 0.1327 -0.1646 -0.0516 -0.2167 -0.3428
-0.3161 -0.0563 0.1708 -0.2099 0.1618 0.1133 -0.0227 -0.2815 -0.2255
0.0349 0.1019 0.1768 0.3071 -0.1927 0.0413 0.0461 0.237 0.2351
0.0153 0.2829 -0.1091]
[-0.1826 -0.0054 -0.0047 0.01 0.1377 -0.0715 0.048 -0.0957 0.3414
-0.0532 -0.0059 -0.1057 -0.3144 -0.2686 -0.0041 -0.221 -0.0577 -0.1716
0.2666 0.2763 0.2867 -0.1384 0.0313 0.0602 -0.3899 -0.1726 -0.1627
0.2106 -0.0576 -0.1961]
[-0.1826 -0.0189 -0.0079 -0.0087 -0.1718 -0.0551 0.0572 0.157 -0.3294
0.0212 -0.0148 0.1271 -0.1656 0.3304 -0.1398 -0.013 0.1142 0.2066
0.3478 -0.2289 -0.2363 -0.2101 0.0098 -0.1472 -0.3523 0.167 -0.181
0.2064 0.0577 -0.2062]
[-0.1826 -0.1742 -0.0162 0.0115 -0.1346 -0.3728 0.4262 -0.3889 -0.1039
0.0546 0.094 -0.0231 0.0669 -0.0372 -0.2495 -0.2713 0.1107 0.0141
-0.1875 -0.0007 -0.0085 -0.0616 0.1824 0.0257 0.3114 -0.005 -0.1628
-0.108 -0.0089 -0.2459]
[-0.1826 0.066 -0.4506 -0.0345 0.0645 -0.0675 -0.0152 0.0312 -0.1238
-0.209 0.0626 -0.379 0.0241 -0.0979 -0.0189 0.0637 -0.0294 0.3407
0.086 -0.1459 0.3142 0.0997 -0.1168 0.0836 0.1665 0.1645 -0.2771
0.1811 -0.0787 0.2854]
[-0.1826 0.0645 -0.444 0.0527 -0.0571 -0.037 -0.049 -0.042 0.1188
0.2063 -0.1059 0.3843 0.0501 0.078 -0.065 -0.0238 -0.0492 -0.3341
0.0784 0.1663 -0.2864 0.0514 -0.1842 -0.0601 0.1737 -0.1731 -0.2758
0.1681 0.0959 0.2847]
[-0.1826 -0.0752 0.7262 -0.0182 -0.0167 0.0614 0.104 0.0793 0.0449
-0.0225 -0.0055 -0.0052 0.0619 -0.0391 -0.2336 0.0723 -0.1221 0.0064
0.0932 0.0171 0.0181 0.1071 -0.2462 0.0084 0.173 -0.0072 -0.3238
0.1777 0.0096 0.2857]
[-0.1826 -0.0669 0.0715 0.2113 -0.1449 -0.188 -0.4102 -0.0589 0.2205
0.0754 0.1064 -0.0559 -0.0021 0.3868 -0.1107 -0.1157 0.1888 0.0703
-0.1772 0.2327 0.152 0.2104 0.1637 -0.2276 -0.1819 0.1982 -0.0372
-0.1326 -0.1884 0.2035]
[-0.1826 -0.0649 0.0767 -0.2001 0.1511 -0.2671 -0.327 0.1245 -0.2238
0.0398 0.1504 -0.0176 0.0083 -0.3232 0.0502 -0.3163 0.0378 -0.0481
-0.0573 -0.2632 -0.249 0.2023 0.1343 0.1924 -0.2218 -0.1931 -0.05
-0.1619 0.1764 0.1944]
[-0.1826 -0.0274 0.1203 0.0199 -0.0365 0.0318 0.014 -0.1095 0.0121
0.274 -0.0638 0.3346 -0.0926 -0.0528 0.462 -0.0718 0.062 -0.0205
0.0045 -0.2381 0.2066 -0.1993 0.2468 0.2573 0.1213 0.3009 0.0621
0.2078 -0.2198 0.2102]
[-0.1826 -0.027 0.1035 -0.0199 0.0456 0.0063 0.0212 -0.0979 -0.1085
-0.2236 0.1515 -0.2916 -0.119 0.1516 0.3995 0.1133 0.2512 -0.0328
-0.053 0.2226 -0.1899 -0.2828 0.1717 -0.2264 0.1649 -0.2863 0.0725
0.1969 0.235 0.2038]
[-0.1826 -0.1678 -0.0942 -0.0085 0.0645 0.54 0.2705 -0.1564 -0.1014
-0.0172 -0.0602 0.0289 -0.3534 0.013 -0.0568 0.0025 -0.0109 0.0174
-0.4255 -0.0675 -0.0311 0.0703 -0.0372 -0.0224 -0.2921 -0.0087 -0.145
-0.233 -0.0057 0.1956]
[-0.1826 -0.0081 -0.0458 0.0534 0.0304 -0.0422 -0.0607 0.0931 0.0726
-0.0514 0.1137 -0.2598 -0.0851 0.168 -0.31 0.0073 -0.347 -0.1763
-0.2066 -0.0384 -0.3057 -0.2793 0.0058 0.3599 0.0139 0.0776 0.3237
0.2128 -0.2653 0.0571]
[-0.1826 -0.0146 -0.0503 -0.0767 -0.031 -0.0478 -0.0957 0.1351 0.0127
0.1154 0.1613 0.288 -0.1171 -0.2863 -0.3847 0.2188 0.0323 0.1378
-0.2036 -0.0483 0.3107 -0.1788 0.0523 -0.2851 0.0511 -0.0606 0.3345
0.1752 0.2932 0.0486]]
E VECTOR FOR NUMPY.EIG:
[[ 0.2744 0.0792 -0.1255 -0.2167 0.2024 -0.0568 -0.0134 -0.3098 -0.1265
-0.2294 0.0403 -0.1252 0.3593 -0.1421 0.3313 0.0107 0.003 -0.2225
0.1769 -0.1826 -0.0983 0.1423 -0.0415 -0.0073 0.0526 0.2615 -0.1539
0.1883 -0.3068 -0.0069]
[ 0.2771 -0.0763 -0.1039 -0.2205 -0.194 -0.0203 0.0503 -0.2449 -0.0443
0.3147 -0.0108 -0.1163 -0.297 -0.1873 0.2404 0.0564 -0.1101 -0.2198
-0.1744 -0.1826 0.0705 -0.1418 -0.0664 -0.0187 -0.0602 -0.392 -0.0876
0.1551 0.2537 0.226 ]
[-0.0111 0.2368 0.2018 0.1397 0.0046 0.0361 0.3352 0.0568 -0.0183
0.0843 -0.0619 0.3003 -0.0129 -0.2974 -0.0022 0.1442 -0.2361 -0.0864
0.0832 -0.1826 0.3516 0.2621 0.2298 0.0438 -0.3856 -0.0433 -0.1023
-0.0927 -0.1799 -0.0579]
[-0.0038 -0.2257 0.2186 0.1206 -0.0051 -0.0279 -0.3478 -0.0089 -0.1098
-0.096 -0.0177 0.3517 0.0348 0.08 0.2498 -0.0352 0.2667 -0.1098
-0.0094 -0.1826 0.4019 0.1056 0.21 0.0656 0.3483 0.0269 -0.1421
-0.0785 0.2117 0.1322]
[-0.0918 0.1248 0.283 -0.0155 -0.0454 -0.1461 0.2327 0.0754 0.157
-0.0583 -0.1154 -0.107 -0.0316 -0.3037 0.0925 0.158 0.1282 -0.0692
0.0162 -0.1826 -0.0743 0.1753 -0.4032 -0.0412 0.4674 -0.1237 0.2957
-0.2258 -0.0078 -0.0724]
[-0.0885 -0.1086 0.2917 -0.0277 0.0617 -0.1841 -0.2252 0.0463 0.1069
0.027 0.1521 -0.0071 0.0444 0.1485 0.2903 0.0412 -0.1543 -0.0606
-0.0422 -0.1826 0.0572 -0.1958 -0.4003 -0.0386 -0.4908 0.2827 0.1577
-0.1636 0.1385 -0.0332]
[-0.1357 0.3013 0.0027 0.226 -0.2128 -0.0275 0.1042 -0.2834 -0.1753
0.1113 -0.181 0.2077 0.2151 0.317 0.0082 -0.1923 -0.2063 -0.1933
-0.1075 -0.1826 -0.157 -0.3598 -0.0607 0.0321 0.1778 -0.0739 -0.1155
-0.2033 -0.091 -0.1267]
[-0.1273 -0.3107 -0.0238 0.2483 0.2062 -0.0069 -0.0033 -0.3169 -0.1301
-0.0453 0.0701 0.1572 -0.2637 -0.2631 -0.2856 -0.0424 0.157 -0.1959
0.1293 -0.1826 -0.4364 0.0959 -0.0525 0.0089 -0.1494 0.0622 -0.1396
-0.1612 0.1508 -0.037 ]
[ 0.0121 0.0091 0.3187 -0.0396 0.0099 0.0181 -0.0205 0.1571 0.3907
-0.0752 0.0001 0.0332 0.0071 -0.0286 0.1466 0.0431 -0.0314 -0.1553
-0.0466 -0.1826 -0.4519 -0.2146 0.5533 0.0399 0.0124 -0.0307 0.1319
0.2158 0.0263 -0.0559]
[ 0.2282 0.1762 0.0127 -0.027 0.2797 0.2014 0.0722 -0.0149 -0.2269
-0.1159 0.3301 -0.0925 0.0964 0.1237 0.0327 0.0957 0.2768 0.1458
-0.0999 -0.1826 0.0458 -0.0851 0.077 0.025 -0.101 -0.3459 0.0993
-0.168 0.2062 -0.4549]
[ 0.2313 -0.1693 0.0224 -0.0478 -0.2858 0.1657 -0.0901 0.0165 -0.1749
0.1782 -0.3034 -0.1489 -0.1072 -0.0548 -0.0478 0.228 -0.1895 0.209
0.0753 -0.1826 -0.0234 0.0228 0.094 0.0395 0.1248 0.4195 -0.0264
-0.0411 0.1518 -0.4529]
[ 0.1247 0.1837 -0.2085 0.1374 0.2841 -0.1922 -0.2372 0.3367 -0.0199
-0.0862 -0.2923 -0.2141 -0.3103 0.1238 -0.1675 0.131 0.0596 -0.3941
-0.2284 -0.1826 0.1034 -0.0468 0.0027 0.0019 -0.0172 0.0322 -0.0756
-0.0458 -0.1913 -0.0465]
[ 0.1276 -0.1978 -0.1723 0.1282 -0.2965 -0.1354 0.2338 0.3759 0.0012
0.0238 0.3078 -0.1317 0.2912 0.2349 -0.1528 0.0944 -0.0615 -0.3212
0.2958 -0.1826 -0.0428 0.1457 -0.0013 0.0048 0.0211 -0.0412 -0.0844
-0.0448 0.2033 0.0889]
[ 0.1438 0.1195 0.2126 -0.0276 0.1064 0.2771 0.1488 0.074 0.1913
-0.0544 0.1975 0.099 0.0073 -0.101 -0.369 -0.02 0.0254 0.0292
-0.1149 -0.1826 0.1565 -0.3156 -0.2821 -0.028 0.1657 0.2474 -0.3454
0.2994 0.091 0.0994]
[ 0.1478 -0.0999 0.223 -0.0445 -0.097 0.2378 -0.2111 0.0477 0.1635
-0.0334 -0.2452 0.0758 -0.025 0.3049 -0.0506 -0.1751 0.013 0.0952
0.1412 -0.1826 -0.1486 0.3592 -0.2809 -0.0487 -0.146 -0.3831 -0.1877
0.1693 -0.2139 -0.1026]
[ 0.1029 0.2837 -0.0368 0.2542 0.2203 0.0769 0.0314 0.2135 -0.2866
0.2129 0.1155 0.1172 -0.2234 0.1462 0.2613 0.0106 -0.1252 0.3011
0.1011 -0.1826 -0.2818 0.1572 -0.0463 -0.042 0.1197 0.1352 0.1017
0.1287 0.068 0.3545]
[ 0.1091 -0.2829 -0.0153 0.2351 -0.237 0.0461 -0.0413 0.1927 -0.3071
-0.1768 -0.1019 0.0349 0.2255 -0.2815 -0.0227 0.1133 0.1618 0.2099
-0.1708 -0.1826 -0.0563 -0.3161 -0.0516 -0.0526 -0.1474 -0.1327 0.1646
0.0516 -0.3428 0.2167]
[ 0.1961 0.0576 -0.2106 -0.1627 0.1726 -0.3899 -0.0602 -0.0313 0.1384
-0.2867 -0.2763 0.2666 0.1716 -0.0577 -0.221 -0.0041 -0.2686 0.3144
0.1057 -0.1826 -0.0059 -0.0532 0.0054 0.0047 -0.01 -0.1377 0.0715
-0.048 0.3414 0.0957]
[ 0.2062 -0.0577 -0.2064 -0.181 -0.167 -0.3523 0.1472 -0.0098 0.2101
0.2363 0.2289 0.3478 -0.2066 0.1142 -0.013 -0.1398 0.3304 0.1656
-0.1271 -0.1826 -0.0148 0.0212 0.0189 0.0079 0.0087 0.1718 0.0551
-0.0572 -0.3294 -0.157 ]
[ 0.2459 0.0089 0.108 -0.1628 0.005 0.3114 -0.0257 -0.1824 0.0616
0.0085 0.0007 -0.1875 -0.0141 0.1107 -0.2713 -0.2495 -0.0372 -0.0669
0.0231 -0.1826 0.094 0.0546 0.1742 0.0162 -0.0115 0.1346 0.3728
-0.4262 -0.1039 0.3889]
[-0.2854 0.0787 -0.1811 -0.2771 -0.1645 0.1665 -0.0836 0.1168 -0.0997
-0.3142 0.1459 0.086 -0.3407 -0.0294 0.0637 -0.0189 -0.0979 -0.0241
0.379 -0.1826 0.0626 -0.209 -0.066 0.4506 0.0345 -0.0645 0.0675
0.0152 -0.1238 -0.0312]
[-0.2847 -0.0959 -0.1681 -0.2758 0.1731 0.1737 0.0601 0.1842 -0.0514
0.2864 -0.1663 0.0784 0.3341 -0.0492 -0.0238 -0.065 0.078 -0.0501
-0.3843 -0.1826 -0.1059 0.2063 -0.0645 0.444 -0.0527 0.0571 0.037
0.049 0.1188 0.042 ]
[-0.2857 -0.0096 -0.1777 -0.3238 0.0072 0.173 -0.0084 0.2462 -0.1071
-0.0181 -0.0171 0.0932 -0.0064 -0.1221 0.0723 -0.2336 -0.0391 -0.0619
0.0052 -0.1826 -0.0055 -0.0225 0.0752 -0.7262 0.0182 0.0167 -0.0614
-0.104 0.0449 -0.0793]
[-0.2035 0.1884 0.1326 -0.0372 -0.1982 -0.1819 0.2276 -0.1637 -0.2104
-0.152 -0.2327 -0.1772 -0.0703 0.1888 -0.1157 -0.1107 0.3868 0.0021
0.0559 -0.1826 0.1064 0.0754 0.0669 -0.0715 -0.2113 0.1449 0.188
0.4102 0.2205 0.0589]
[-0.1944 -0.1764 0.1619 -0.05 0.1931 -0.2218 -0.1924 -0.1343 -0.2023
0.249 0.2632 -0.0573 0.0481 0.0378 -0.3163 0.0502 -0.3232 -0.0083
0.0176 -0.1826 0.1504 0.0398 0.0649 -0.0767 0.2001 -0.1511 0.2671
0.327 -0.2238 -0.1245]
[-0.2102 0.2198 -0.2078 0.0621 -0.3009 0.1213 -0.2573 -0.2468 0.1993
-0.2066 0.2381 0.0045 0.0205 0.062 -0.0718 0.462 -0.0528 0.0926
-0.3346 -0.1826 -0.0638 0.274 0.0274 -0.1203 -0.0199 0.0365 -0.0318
-0.014 0.0121 0.1095]
[-0.2038 -0.235 -0.1969 0.0725 0.2863 0.1649 0.2264 -0.1717 0.2828
0.1899 -0.2226 -0.053 0.0328 0.2512 0.1133 0.3995 0.1516 0.119
0.2916 -0.1826 0.1515 -0.2236 0.027 -0.1035 0.0199 -0.0456 -0.0063
-0.0212 -0.1085 0.0979]
[-0.1956 0.0057 0.233 -0.145 0.0087 -0.2921 0.0224 0.0372 -0.0703
0.0311 0.0675 -0.4255 -0.0174 -0.0109 0.0025 -0.0568 0.013 0.3534
-0.0289 -0.1826 -0.0602 -0.0172 0.1678 0.0942 0.0085 -0.0645 -0.54
-0.2705 -0.1014 0.1564]
[-0.0571 0.2653 -0.2128 0.3237 -0.0776 0.0139 -0.3599 -0.0058 0.2793
0.3057 0.0384 -0.2066 0.1763 -0.347 0.0073 -0.31 0.168 0.0851
0.2598 -0.1826 0.1137 -0.0514 0.0081 0.0458 -0.0534 -0.0304 0.0422
0.0607 0.0726 -0.0931]
[-0.0486 -0.2932 -0.1752 0.3345 0.0606 0.0511 0.2851 -0.0523 0.1788
-0.3107 0.0483 -0.2036 -0.1378 0.0323 0.2188 -0.3847 -0.2863 0.1171
-0.288 -0.1826 0.1613 0.1154 0.0146 0.0503 0.0767 0.031 0.0478
0.0957 0.0127 -0.1351]]
E VALUES FOR MATLAB ENG:
[[ 0. ]
[ 3.6565]
[ 4.4332]
[ 7.054 ]
[ 8.1664]
[ 10.4131]
[ 13.2693]
[ 15.9649]
[ 16.9179]
[ 20.8622]
[ 24.7438]
[ 28.2782]
[ 38.9563]
[ 42.4918]
[ 55.1742]
[ 62.0935]
[ 65.703 ]
[ 76.9751]
[ 143.6789]
[ 165.5467]
[ 239.4348]
[ 263.0559]
[ 284.2856]
[ 779.4868]
[ 919.7508]
[ 1507.522 ]
[ 1543.3857]
[ 8389.9546]
[13716.3716]
[16543.2911]]
E VALUES FOR NUMPY.EIG:
[16543.2911 13716.3716 8389.9546 1543.3857 1507.522 919.7508
779.4868 284.2856 263.0559 239.4348 165.5467 143.6789
76.9751 65.703 62.0935 55.1742 42.4918 38.9563
28.2782 0. 24.7438 20.8622 3.6565 4.4332
7.054 8.1664 10.4131 13.2693 16.9179 15.9649]
