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# Let A be a symmetric nn matrix with eigenvalues 1, . . . , n. Show that there exists an

ISBN: 9780136009290 436

## Solution for problem 11 Chapter 6.6

Linear Algebra with Applications | 8th Edition

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Problem 11

Let A be a symmetric nn matrix with eigenvalues 1, . . . , n. Show that there exists an orthonormal set of vectors {x1, . . . , xn} such that xTAx = _n i=1 i _ xT xi _2 for each x Rn. 1

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##### ISBN: 9780136009290

The answer to “Let A be a symmetric nn matrix with eigenvalues 1, . . . , n. Show that there exists an orthonormal set of vectors {x1, . . . , xn} such that xTAx = _n i=1 i _ xT xi _2 for each x Rn. 1” is broken down into a number of easy to follow steps, and 46 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 47 chapters, and 921 solutions. Linear Algebra with Applications was written by and is associated to the ISBN: 9780136009290. The full step-by-step solution to problem: 11 from chapter: 6.6 was answered by , our top Math solution expert on 03/15/18, 05:24PM. Since the solution to 11 from 6.6 chapter was answered, more than 207 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Linear Algebra with Applications, edition: 8.

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