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Chapter 7. The Eigenvalue Problem

Chapter 7. The Eigenvalue Problem

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<strong>7.</strong> <strong>The</strong> <strong>Eigenvalue</strong> <strong>Problem</strong>, December 17, 2009 30<br />

<strong>The</strong> numbers on the diagonal are the eigenvalues of M.<br />

Exercise 13 Show that if M is Hermitian and A has an inverse, then A −1 MA<br />

and AMA −1 havethesameeigenvaluesasM. Try to find at least two methods<br />

of proof.

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