Let (i) Write down necessary and sufficient conditions on the entries a, b, c, d that ensures that A has only real eigenvalues (ii) Verify that all symmetric 2 2 matrices satisfy your conditions (iii) Note down a non symmetric matrix that full fill your conditions a A c d...

i The characteristic equation p 2 a d ad bc 0 has real roots if ...

Let (i). Write down necessary and sufficient conditions on the entries a, b, c, d that ensures

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Let

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

(ii).Verify that all symmetric 2 Ã— 2 matrices satisfy your conditions.

(iii). Note down a non-symmetric matrix that full fill your conditions.

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 09:09 AM

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Let (i). Write down necessary and sufficient conditions on the entries a, b, c, d that ensures

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a A = c d

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i The characteristic equation p 2 a d ad bc 0 has real roots if ...View the full answer

Applied Linear Algebra

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