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Matrix A before diagonalization:
180.429 84.6931 168.169 171.464 195.775
84.6931 42.4238 71.9885 164.976 59.6517
168.169 71.9885 118.964 102.52 135.049
171.464 164.976 102.52 78.3369 110.252
195.775 59.6517 135.049 110.252 204.49
Matrix D after diagonalization:
-119.571 -5.30287e-46 -2.73589e-48 -1.06523e-47 1.64215e-47
1.5952e-15 -26.5312 -1.0691e-50 2.0715e-56 1.42741e-55
-6.6695e-16 1.29471e-14 14.8524 5.01143e-52 -1.59309e-57
-2.3087e-14 1.4888e-14 -1.29251e-15 98.987 6.37237e-58
-2.61244e-14 3.2599e-14 -1.27565e-14 -2.71848e-14 656.906
Eigenvector matrix V:
-0.284865 0.756261 0.168984 -0.0873305 0.55744
-0.624185 -0.327753 -0.217449 0.610858 0.287297
0.0720496 -0.465468 0.769646 -0.099409 0.419417
0.723837 0.0659931 -0.189576 0.511012 0.417892
0.0107027 -0.315645 -0.543936 -0.590094 0.506139
The product VtAV which should be equal to D:
-119.571 -2.08167e-16 -2.52992e-14 8.10463e-15 -1.22125e-13
-6.27276e-15 -26.5312 4.66294e-14 -1.42109e-14 -4.26326e-14
-2.58682e-14 3.37508e-14 14.8524 -3.55271e-15 5.68434e-14
4.77396e-15 -3.55271e-15 -2.66454e-15 98.987 -8.52651e-14
-1.1191e-13 -4.17444e-14 4.26326e-14 -8.52651e-14 656.906
The product VDVt which should be equal to A:
180.429 84.6931 168.169 171.464 195.775
84.6931 42.4238 71.9885 164.976 59.6517
168.169 71.9885 118.964 102.52 135.049
171.464 164.976 102.52 78.3369 110.252
195.775 59.6517 135.049 110.252 204.49
The product VtV which should be equal to I:
1 4.0766e-17 -4.25007e-17 -1.56125e-16 -1.70003e-16
4.0766e-17 1 -5.55112e-17 5.55112e-17 -2.77556e-17
-4.25007e-17 -5.55112e-17 1 1.66533e-16 1.11022e-16
-1.56125e-16 5.55112e-17 1.66533e-16 1 5.55112e-17
-1.70003e-16 -2.77556e-17 1.11022e-16 5.55112e-17 1