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Let 3 0 0 1 04 0 0 A = = u = ' 0 0 4 0 0 2 (a) Find a matrix

  

Let 3 0 0 1 04 0 0 A = = u = ' 0 0 4 0 0 2 (a) Find a matrix X and a diagonal matrix A such that A = 1 00 3 XAX-1. Aku k-00 4k (b) Use the diagonalization from part (a) to compute A10 and lim (c) Use the diagonalization from part (a) to find the eigenvalues of 4 1 1 2 15 1 1 B = 1 1 10 5 1 2 1 1 4

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