Let A = 1 1 0 0 where is a small scalar.(a) Determine the singular values of A

Chapter 7, Problem 5

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Let A = 1 1 0 0 where is a small scalar.(a) Determine the singular values of A exactly.(b) Suppose that is small enough so that2 is less than the machine epsilon. Determinethe eigenvalues of the calculatedATA and compare the square roots ofthese eigenvalues with your answers inpart (a).

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