Recall from Exercise 25 in section 5 4 that tr A (the trace of A) is the sum of the diagonal entries in A Show that the characteristic polynomial of A is Icirc raquo 2 (tr A) Icirc raquo det A Then show that the eigenvalues of a 2 x 2 matrix A are both real if and only if det Let A 21 all a12 d21 a...

The eigenvalues are both real if and only if ...

Recall from Exercise 25 in section 5.4 that tr A (the trace of A) is the sum

Question:

Recall from Exercise 25 in section 5.4 that tr A (the trace of A) is the sum of the diagonal entries in A. Show that the characteristic polynomial of A is
Î»2 - (tr A)Î» + det A

Then show that the eigenvalues of a 2 x 2 matrix A are both real if and only if det

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Linear Algebra and Its Applications

ISBN: 978-0321791542

4th edition

Authors: David C. Lay

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Question Posted: May 02, 2016 12:09 PM

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Recall from Exercise 25 in section 5.4 that tr A (the trace of A) is the sum

Question:

Let A-[:21 = | all a12 d21 a22 422] s(분) tr A 2

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The eigenvalues are both real if and only if ...View the full answer

Linear Algebra and Its Applications

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