I need some help writing a computer program for the LU decomposition using the Crout algorithm to factorize matrices and the forward-backward solutions that will work with the Sparse matrix below. [1 0 - 2 0 0 2 8 0 1 0 0 0 3 0 -2 0 -3 2 0 0 1 2 0 0 -4]

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Matrix Multiplication

A matrix is an entity composed of components arranged in rows and columns. The rows and columns of a matrix determine the dimension of a matrix. A matrix containing 3 rows and 4 columns is of dimension 3x4. Dimensions in matrix arithmetic are very important since some operations are not possible unless matrices have identical dimensions.