Let (a) Write down necessary and sufficient conditions on the entries a, b, c, d that ensures that A has only real eigenvalues (b) Verify that all symmetric 2 Atilde 2 matrices satisfy your conditions (c) Write down a non symmetric matrix that satisfies your conditions a A c d

Question: Let (a) Write down necessary and sufficient conditions on the entries a, b, c, d that ensures that A has only real eigenvalues. (b) Verify

Let

(a) Write down necessary and sufficient conditions on the entries a, b, c, d that ensures that A has only real eigenvalues.
(b) Verify that all symmetric 2 Ã— 2 matrices satisfy your conditions.
(c) Write down a non-symmetric matrix that satisfies your conditions.

a A = c d

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