In numerical analysis and linear algebra , lower—upper LU decomposition or factorization 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. LU decomposition can be viewed as the matrix form of Gaussian elimination. Computers usually solve square systems of linear equations using LU decomposition, and it is also a key step when inverting a matrix or computing the determinant of a matrix. LU decomposition was introduced by Polish mathematician Tadeusz Banachiewicz in
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It only takes a minute to sign up. I am trying to factorize the matrix on the picture, but I am not sure how can I get the upper triangular matrix.
Do I have to reverse every step of the matrix operation that I performed? Any help will be greatly appreciated! Sign up to join this community. The best answers are voted up and rise to the top.
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Linear Algebra Calculators
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