26. LU decomposition method - Doolittle's Method, Crout's Factorization Method, Cholesky's Method

L U decomposition of a matrix is the factorization of a given square matrix [A] into two triangular matrices, one upper triangular matrix [U] and one lower triangular matrix [L], such that the product of these two matrices gives the original matrix. Depending upon how L and U matrix are obtained from square matrix [A], there are 3 methods under LU decomposition method, namely, Doolittle's Method, Crout's Factorization Method and Cholesky's Decomposition Method