A= [1 2 3 2 1] [0 3 4 3 2] [0 0 5 2 1] [0 0 0 2 4] [0 0 0 0 7] Eigenvalues of A [7, 5, 3, 2, 1] Eigenvectors of A [(7, [ (1, 144/113, 78/113, 48/113, 60/113) ], 1), (5, [ (1, 8/7, 4/7, 0, 0) ], 1), (3, [ (1, 1, 0, 0, 0) ], 1), (2, [ (1, 1/2, 1, -3/2, 0) ], 1), (1, [ (1, 0, 0, 0, 0) ], 1)] [ 1 1 1 1 1] [144/113 8/7 1 1/2 0] [ 78/113 4/7 0 1 0] [ 48/113 0 0 -3/2 0] [ 60/113 0 0 0 0] [7 0 0 0 0] [0 5 0 0 0] [0 0 3 0 0] [0 0 0 2 0] [0 0 0 0 1] A= [1 2 3 2 1] [0 3 4 3 2] [0 0 5 2 1] [0 0 0 2 4] [0 0 0 0 7] Eigenvalues of A [7, 5, 3, 2, 1] Eigenvectors of A [(7, [ (1, 144/113, 78/113, 48/113, 60/113) ], 1), (5, [ (1, 8/7, 4/7, 0, 0) ], 1), (3, [ (1, 1, 0, 0, 0) ], 1), (2, [ (1, 1/2, 1, -3/2, 0) ], 1), (1, [ (1, 0, 0, 0, 0) ], 1)] [ 1 1 1 1 1] [144/113 8/7 1 1/2 0] [ 78/113 4/7 0 1 0] [ 48/113 0 0 -3/2 0] [ 60/113 0 0 0 0] [7 0 0 0 0] [0 5 0 0 0] [0 0 3 0 0] [0 0 0 2 0] [0 0 0 0 1] |
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