Question: 5. (15 Points) Let 2 0 -3 A=|3 -2 4 0 0 1 a) Find the characteristic equation and eigenvalues of A. c) Find a

5. (15 Points) Let 2 0 -3 A=|3 -2 4 0 0 1 a) Find the characteristic equation and eigenvalues of A. c) Find a basis for R? that consists of eigenvectors of A. d) Diagonalize A, that is, find an invertible matrix P such that A = PDP~! where D is a diagonal matrix. Show work. Answers without supporting work will not be accepted. ( (b) Find the eigenspace for each eigenvalue of A. ( (

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