Question: 5. (20 points) Consider the matrix A / 2 1 3 1 1 2 3 2 5 (a) Compute the eigenvalues and corresponding eigenvectors of

5. (20 points) Consider the matrix A / 2 1 3 1 1 2 3 2 5 (a) Compute the eigenvalues and corresponding eigenvectors of A. You are allowed to use Matlab or Python to compute the eigenvectors (but not the eigenvalues). (b) What is the eigen-decomposition of A? (c) What is the rank of A? (d) Is A positive definite? (e) Is A positive semi-definite? (f) Is A singular

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