Let A 2 a Find the eigenvalues and eigenvectors of A b Verify that det A is the product of its eigenvalues c Is matrix A

Question

Let A 2 a Find the eigenvalues and eigenvectors of A b Verify that det A is the product of its eigenvalues c Is matrix A diagonalizable If yes find matrix P and diagonal matrix D such that A PDP 1 otherw explain why not d If matrix A is diagonalizable compute A and write the final result as a 2 x 2 matrix Find

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