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(a) If A is a square matrix, then and are orthogonally diagonalizable.
(b) If and are eigenvectors from distinct eigenspaces of a symmetric matrix, then
.
(c) An orthogonal matrix is orthogonally diagonalizable.
(d) If A is an invertible orthogonally diagonalizable matrix, then is orthogonally
diagonalizable.
Does there exist a symmetric matrix with eigenvalues ,, and
15. corresponding eigenvectors
If so, find such a matrix; if not, explain why not.
Is the converse of Theorem 7.3.2b true?
16.
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