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1000 e 1 0100 0010 since adding back in 3row2 takes us

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Unformatted text preview: space below find the inverse of the 11 1 matrix A  and check your answer. Then, considering only those 01 1 21 0 calculations, answer the questions that follow: 11 1 1 1 00 11 1 1 00 01  1 1010 0 1 1 0 10 01 1 0 10 21 AI 1100 0 0 1 2 201 00 1 211 001 110 111 100 1 10 010 221 010 2 2 1 001 211 001 2 1 1 11 1 1 10 01 1 2 2 1 21 0 2 1 100 1  010 001 i) When we go from A via Gaussian elimination to the upper triangular matrix U, what single matrix M, multiplying on the left, would turn A into U? Why? What is the relationship of this M to L from the LU decomposition. The right side of the augmented matrix keeps track of the cumulative multiplications: 1 M AI  MA  M 0  U  M so M  00 10 . Now MA...
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This document was uploaded on 02/19/2014 for the course MATH 441 at WVU.

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