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# oct2809 - Im A =(b Give a one-to-one parametrization of Im...

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Math 1502 D, October 28, 2009 1 Georgia Tech School of Mathematics Math 1502 Calculus II, Section D Quiz # 9 October 28, 2009 First Name : --------------------------------------------- Last Name : ------------------------------------------------- 1. Let A = 1 2 4 2 5 1 1 1 1 . Find a lower triangular matrix L annd a row- reduced matrix U such that A = LU (Hint : beware that the record matrix is related to but nor equal to L ! !) (Give the result here, compute on the back pages) L = U =

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Math 1502 D, October 28, 2009 2 2. Let A = 1 1 2 1 2 1 3 2 1 0 1 1 3 2 5 3 . (a) Find an equation for Im( A ) (Hint : find matrix C such that A x = b has a solution if and only if C b = 0 ) (Give the result here, compute on the back pages)

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Unformatted text preview: Im( A ) = (b) Give a one-to-one parametrization of Im( A ) (Give the result here, compute on the back pages) Math 1502 D, October 28, 2009 3 3. Let A = 1 1 1 1 2 2 1 2 3 . Find a lower triangular matrix L such that A = LL t (Hint : use the Cholesky method) (Give the result here, compute on the back pages) L = ———————————————————————————– Use the space below and the back pages for your calculations Math 1502 D, October 28, 2009 4 Use this page for your calculations...
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oct2809 - Im A =(b Give a one-to-one parametrization of Im...

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