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PS4 - of the matrix A = ± 4 8 1 2 ²(b Judge how close A...

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MATH 580: Problem Set 4 due Tuesday, October 12, 2004 1. For what values of b does the equation Ax = b have a solution, given that A = 3 - 1 1 1 - 1 3 2. Find the pseudoinverse of M = i 1 - 1 i 3. Consider the matrix C = 3 a 2 1 4 - 2 . For what values of a does the Moore-Penrose pseudoinverse of C exist? 4. (a) Find the pseudoinverse
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Unformatted text preview: of the matrix A = ± 4 8 1 2 ² (b) Judge how close A is to being an inverse by evaluating A A . If A were actually the inverse A-1 , what would A A be? Why isn’t A the same as A-1 in this case? 5. Keener 1.5.1 - a,b (p.54) 6. Keener 2.1.1 (p.93)...
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