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Pivoting for LU Factorization - UPS
tation matrix P, which is the identity matrix with rows 1 and 3 swapped. To interchange columns 1 and 3 of the matrix A, we left multiply by the same permutation matrix P. At each step kof Gaussian elimination we encounter an optional row interchange, represented by P k, before eliminat-ing entries via the lower triangular elementary matrix M k ...
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