A= [ 0 0 0 -1] [ 0 1 0 0] [ 0 0 1 0] [-1 0 0 0] eigenvalue of A [-1, 1, 1, 1] eigenvector of A [(-1, [ (1, 0, 0, 1) ], 1), (1, [ (1, 0, 0, -1), (0, 1, 0, 0), (0, 0, 1, 0) ], 3)] P= [ 1/2*sqrt(2) 1/2*sqrt(2) 0 0] [ 0 0 1 0] [ 0 0 0 1] [ 1/2*sqrt(2) -1/2*sqrt(2) 0 0] D= [-1 0 0 0] [ 0 1 0 0] [ 0 0 1 0] [ 0 0 0 1] A= [ 0 0 0 -1] [ 0 1 0 0] [ 0 0 1 0] [-1 0 0 0] eigenvalue of A [-1, 1, 1, 1] eigenvector of A [(-1, [ (1, 0, 0, 1) ], 1), (1, [ (1, 0, 0, -1), (0, 1, 0, 0), (0, 0, 1, 0) ], 3)] P= [ 1/2*sqrt(2) 1/2*sqrt(2) 0 0] [ 0 0 1 0] [ 0 0 0 1] [ 1/2*sqrt(2) -1/2*sqrt(2) 0 0] D= [-1 0 0 0] [ 0 1 0 0] [ 0 0 1 0] [ 0 0 0 1] |
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