Let (u1. u2, . . . , un), be an orthonornial basis for Rn and let A

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Let (u1. u2, . . . , un), be an orthonornial basis for Rn and let A be a linear combination
of the rank I matrices u1uT1.u2uT2..... unun. If

how that A is a symmetric matrix with eigenvalues c1,c2 and that cn, is an eigenvector belonging to ci, for each i.

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Linear Algebra with Applications

ISBN: 978-0131857858

7th edition

Authors: Steven J. Leon

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Question Posted: Jun 13, 2016 01:00 AM

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Let (u1. u2, . . . , un), be an orthonornial basis for Rn and let A

Question:

A = cu;u+c2u2u++ C,u,u

Step by Step Answer:

If A 1 u 1 u T 1 2 u 2 u T 2 n u n u T n then for i 1 n A u i 1 u 1 u T 1 ...View the full answer

Linear Algebra with Applications

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