Write one significant fact about the eigenvalues of each of the following. (a) A real

Chapter 5, Problem 5.5.16

(choose chapter or problem)

Write one significant fact about the eigenvalues of each of the following. (a) A real symmetric matrix. (b) A stable matrix: all solutions to du/dt = Au approach zero. (c) An orthogonal matrix. (d) A Markov matrix. (e) A defective matrix (nondiagonalizable). (f) A singular matrix.

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