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Solved: 2326 deal with the eigenvalue/eigenvector problem for n n real skew-symmetric

Differential Equations | 4th Edition | ISBN: 9780321964670 | Authors: Stephen W. Goode ISBN: 9780321964670 380

Solution for problem 23 Chapter 7.5

Differential Equations | 4th Edition

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Differential Equations | 4th Edition | ISBN: 9780321964670 | Authors: Stephen W. Goode

Differential Equations | 4th Edition

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Problem 23

2326 deal with the eigenvalue/eigenvector problem for n n real skew-symmetric matrices.Let A be an n n real skew-symmetric matrix.(a) Prove that for all v1 and v2 in Cn,Av1, v2 = v1, Av2,where , denotes the standard inner product inCn. [Hint: See Lemma 7.5.9.](b) Prove that all nonzero eigenvalues of A are pureimaginary ( = ). [Hint: Model your proofafter that of (1) in Theorem 7.5.4.]

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Chapter 7.5, Problem 23 is Solved
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Textbook: Differential Equations
Edition: 4
Author: Stephen W. Goode
ISBN: 9780321964670

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Solved: 2326 deal with the eigenvalue/eigenvector problem for n n real skew-symmetric

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