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

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

are

with corresponding eigenvectors v(i), where v(i)j = sin(ijÏ€/m).

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Question Posted: Mar 22, 2016 03:11 AM

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

Question:

jsi-lorj = 1+1, 1-21, j-i, 0, oterwise asl--(sin ): for each i-12 m-1.

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We have And However Th...View the full answer

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