Question: 9. (12 points) True or False (a) A matrix A is not invertible if and only if 0 is an eigenvalue of A. (b) If

9. (12 points) True or False (a) A matrix A is not invertible if and only if 0 is an eigenvalue of A. (b) If u and v are linearly independent ebenvectors, then they correspond to distinct eigenvalues. (c) An rum matrix A is diagonalizable it A has n eigenvectors. (d) If I" has a basis of eigenvectors of A. then A is diagonalizable. (e1 An nun matrix A is diagonallzable ii and only It A has n eigenvalues. counting multiplicities. if) Not every orthogonal set in I\" is linearly independent

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