Let (a) Write down necessary and sufficient conditions on the entries a, b, c, d that ensures
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(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 × 2 matrices satisfy your conditions.
(c) Write down a non-symmetric matrix that satisfies your conditions.
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a The characteristic equation p 2 a d ad bc 0 has real roots i...View the full answer
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