If an n x n matrix A is both symmetric and orthogonal, what can you say about the
Chapter 8, Problem 23(choose chapter or problem)
If an n x n matrix A is both symmetric and orthogonal, what can you say about the eigenvalues of A? What about the eigenspaces? Interpret the linear transformation T(x) = Ax geometrically in the cases n = 2 and n = 3.
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