5. Let A= = 2 0 0 2 -1 0 0 1 (a) Find the eigenvalues of A. Do you have enough information now to decide whether A is di
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5. Let A= = 2 0 0 2 -1 0 0 1 (a) Find the eigenvalues of A. Do you have enough information now to decide whether A is di
5. Let A= = 2 0 0 2 -1 0 0 1 (a) Find the eigenvalues of A. Do you have enough information now to decide whether A is diagonalizable? Do you have enough information now to decide whether A is orthogonally diagonalizable? (b) Find the eigenvectors and eigenspaces of A. Do you have enough information now to decide whether A is diagonalizable? Do you have enough information now to decide whether A is orthogonally diagonalizable? (c) If it is possible to orthogonally diagonalize A, do so. If it is possible to diago- nalize A (but not orthogonally), do that. If it is not possible to diagonalize A at all, explain how you know this.
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