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# Let A = 1 1 _ 0 0 _ where _ is a small scalar. (a) Determine the singular values of A ISBN: 9780136009290 436

## Solution for problem 4 Chapter 7.7

Linear Algebra with Applications | 8th Edition

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Problem 4

Let A = 1 1 _ 0 0 _ where _ is a small scalar. (a) Determine the singular values of A exactly. (b) Suppose that _ is sufficiently small that 1 + _2 gets rounded off to 1 on your calculator. Determine the eigenvalues of the calculated ATA and compare the square roots of these eigenvalues with your answers in part (a).

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##### ISBN: 9780136009290

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