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7) (i) If k is a positive integer, A is an eigenvalue of a matrix A, and v is a corresponding eigenvector, then A

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7) (i) If k is a positive integer, A is an eigenvalue of a matrix A, and v is a corresponding eigenvector, then A is an eigenvalue of A* and v is a corresponding eigenvector. (ii) use 6(i) to find the eigenvalues and eigenvectors of A5, where (a) A= [32] [401 (b) A= 2 3 2 L1 0 4

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