What is the LU factorisation of the following matrix 1 0 Options 3 -1 7 8 10 3 10 L = - ( ÷ 1) - - ( : )) U 2 1 0 0 0 -11 5 4 1 L = 1 0 0 210 5 4 1, U = 1 -12 3 10 3 0 -1 1 0 0 -11, 10 1 -12 3 - - ( ; ;)), - - ( 7² 7) L= 110 1 4 0 1, 0 0 1 100

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LUP Decomposition

LU decomposition stands for Lower-Upper decomposition. LU decomposition is the factorization of the lower triangular matrix and an upper triangular matrix. It is very useful in linear algebra and numerical analysis. A permutation matrix is usually included in the product. Gaussian elimination in a matrix form is known as LU decomposition, When inverting a matrix or evaluating its determinant, this is a crucial step. Tadeusz Banachiewicz, a Polish mathematician, first proposed the LU decomposition in 1938.