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(35/100 pts) Develop a computer program to obtain the LU decomposition of a matrix using Crout's Method. You will need to add forward and backward substitution routines as shown in class. Your results should output the L and U matrices obtained after the and the solution vector for each case (z,). Your right hand side is only a single columin vector. Use your program to solve Ax = b with, 3 2 -3 1 6] -241 -6 3 1 0 2 3 5 -8 1 2 6 5 -8 1 4 6 24 36