a) For the matrix A below, find the eigenvalues, the eigenvectors, a basis B for which the matrix [LA]s is diagonal and the change of basis matrix from the standard basis of R³ to B. A = 200 -245 0 1 0 -4 2 b) For which values of r does the matrix A = -[7 ] have real eigenvalues? I -2 c) Take z = -1 and find the eigenvectors of A.

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