Question: 1. Let A = -1 -1 3 -4 0 0 0 13 -1 (a) Find the characteristic equation of A. (b) Find the eigenvalues

1. Let A = -1 -1 3 -4 0 0 0 13

1. Let A = -1 -1 3 -4 0 0 0 13 -1 (a) Find the characteristic equation of A. (b) Find the eigenvalues of A. (c) Find a basis for each eigen-space of A. (d) Is A diagonalizable?

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