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1. (6 points) Find the LU factorization of the following matrix: 2 77-1 2 -1 -19 6 -4-12 7 1 Write your solution as PA -LU fo

please be clear (don't skip any detail) and clean handwriting

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1. (6 points) Find the LU factorization of the following matrix: 2 77-1 2 -1 -19 6 -4-12 7 1 Write your solution as PA -LU for an appropriate permutation matrix P, lower triangular matrix L and upper triangular matrix U.
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一19 2-t 一8.0 一12 21 2 O 6 63 0-8-2 26 2 -24 -40 C2C3- O 2 12 2 12 o 0 41 16 0

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