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a) Determine if the matrix A= diagonalized it. -4 0 3 03 10 is orthogonally diagonalizable and if so, 04 b) We know that

a) Determine if the matrix A= diagonalized it. -4 0 3 03 10 is orthogonally diagonalizable and if so, 04 b) We know that symmetric matrices are diagonalizable. Prove that the converse is also true, namely, if matrix A is orthogonally diagonalizable, then it must be symmetric. (Hint: Assume that PT AP = D and show that A is symmetric

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