Question: 5. Let A denote the matrix O 0 (a) (4 points) Find the eigenvalues of A. (b) (6 points) Find an orthonormal basis of R

5. Let A denote the matrix O 0 (a) (4 points) Find the eigenvalues of A. (b) (6 points) Find an orthonormal basis of R consisting of eigenvectors for A. (c) (3 points) Find a 3 x 3 orthogonal matrix S and a 3 x 3 diagonal matrix D such that A = SDST. (d) (4 points) For any integer t, write an explicit formula for At

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