Discuss about the LU Factorizations.

Discuss about the LU Factorizations.

In linear algebra (Lu-factorization)  LU decomposition factors a matrix as the product of a lower triangular matrix and an upper triangular matrix. The product sometimes includes a permutation matrix as well. Let A be a square matrix. An LU factorization refers to the factorization of A, with proper row and/or column orderings or permutations, into two factors, a lower triangular matrix L and an upper triangular matrix U,
A=LU

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