3 -4 2 -2 12. Perform Gauss-Jordan elimination on the augmented matrix shown. 11 01리 A.0 17 0 0 1 100 B.0 10 0 0 1 4 |2] 3 C. o -1 7 -26 1 0 3. D. 0 1 -7 2370 77

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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.