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Show that if 1 and 2 are eigenvalues of a Hermitian matrix A, and if 1 = 2, then

Elementary Differential Equations | 10th Edition | ISBN: 9780470458327 | Authors: William E. Boyce, Richard C. DiPrima ISBN: 9780470458327 393

Solution for problem 33 Chapter 7.3

Elementary Differential Equations | 10th Edition

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Elementary Differential Equations | 10th Edition | ISBN: 9780470458327 | Authors: William E. Boyce, Richard C. DiPrima

Elementary Differential Equations | 10th Edition

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Problem 33

Show that if 1 and 2 are eigenvalues of a Hermitian matrix A, and if 1 = 2, then thecorresponding eigenvectors x(1) and x(2) are orthogonal.Hint: Use the results of 26(c) and 32 to show that (1 2)(x(1), x(2)) = 0.

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Chapter 7.3, Problem 33 is Solved
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Textbook: Elementary Differential Equations
Edition: 10
Author: William E. Boyce, Richard C. DiPrima
ISBN: 9780470458327

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Show that if 1 and 2 are eigenvalues of a Hermitian matrix A, and if 1 = 2, then

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