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Show that the eigenvalues for the (m 1) by (m 1) tridiagonal method matrix A given by ai

Numerical Analysis (Available Titles CengageNOW) | 8th Edition | ISBN: 9780534392000 | Authors: Richard L. Burden, J. Douglas Faires ISBN: 9780534392000 331

Solution for problem 12.2.13 Chapter 12-2

Numerical Analysis (Available Titles CengageNOW) | 8th Edition

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Numerical Analysis (Available Titles CengageNOW) | 8th Edition | ISBN: 9780534392000 | Authors: Richard L. Burden, J. Douglas Faires

Numerical Analysis (Available Titles CengageNOW) | 8th Edition

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Problem 12.2.13

Show that the eigenvalues for the (m 1) by (m 1) tridiagonal method matrix A given by ai j = , j = i 1 or j = i + 1, 1 2, j = i, 0, otherwise are i = 1 4 sin i 2m 2 , for each i = 1, 2,... , m 1, with corresponding eigenvectors v(i) , where v(i) j = sin(i j/m).

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Chapter 12-2, Problem 12.2.13 is Solved
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Textbook: Numerical Analysis (Available Titles CengageNOW)
Edition: 8
Author: Richard L. Burden, J. Douglas Faires
ISBN: 9780534392000

The full step-by-step solution to problem: 12.2.13 from chapter: 12-2 was answered by , our top Calculus solution expert on 03/05/18, 08:28PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 69 chapters, and 1072 solutions. This textbook survival guide was created for the textbook: Numerical Analysis (Available Titles CengageNOW) , edition: 8. Numerical Analysis (Available Titles CengageNOW) was written by and is associated to the ISBN: 9780534392000. The answer to “Show that the eigenvalues for the (m 1) by (m 1) tridiagonal method matrix A given by ai j = , j = i 1 or j = i + 1, 1 2, j = i, 0, otherwise are i = 1 4 sin i 2m 2 , for each i = 1, 2,... , m 1, with corresponding eigenvectors v(i) , where v(i) j = sin(i j/m).” is broken down into a number of easy to follow steps, and 68 words. Since the solution to 12.2.13 from 12-2 chapter was answered, more than 210 students have viewed the full step-by-step answer.

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Show that the eigenvalues for the (m 1) by (m 1) tridiagonal method matrix A given by ai

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