ich of the following statements is not true? a) An n x n matrix that is orthogonally diagonalizable must be symmetric. b) For any matrix A, A" A is symmetric. c) If A is symmetric, any two eigenvectors of A corresponding to different eigenvalues must be orthogonal. d) If A and B are symmetric matrices, AB must also be symmetric.

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ich of the following statements is not true?
a) An n x n matrix that is orthogonally diagonalizable must be symmetric.
b) For any matrix A, A" A is symmetric.
c) If A is symmetric, any two eigenvectors of A corresponding to different eigenvalues
must be orthogonal.
d) If A and B are symmetric matrices, AB must also be symmetric.
Transcribed Image Text:ich of the following statements is not true? a) An n x n matrix that is orthogonally diagonalizable must be symmetric. b) For any matrix A, A" A is symmetric. c) If A is symmetric, any two eigenvectors of A corresponding to different eigenvalues must be orthogonal. d) If A and B are symmetric matrices, AB must also be symmetric.
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