If an n × n matrix A is both symmetric and orthogonal, what can you say about the eigenvalues of A? about the eigenspaces? Interpret
If an n × n matrix A is both symmetric and orthogonal, what can you say about the eigenvalues of A? about the eigenspaces? Interpret the linear transformation T (x) = Ax geometrically in the cases n = 2 and n = 3. : 23. If an n x n matrix A is both symmetric and orthogo-
nal, what can you say about the eigenvalues of A?
about the eigenspaces? Interpret the linear transforma-
tion T(x) = Ax geometrically in the cases n = 2 and
n = 3.
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