Question: 1. (a) Implement (write a code) Gaussian Elimination with partial pivoting to solve a linear system Ax = b, given as output the coefficients of

1. (a) Implement (write a code) Gaussian Elimination with partial pivoting to solve a linear system Ax = b, given as output the coefficients of a nonsingular, n x n matrix A and an n-vector b. Your code should produce the solution * or an error message (if A is nonsingular) and the information needed for the LU factorization. (b) Let 51 021] 0 4 01 2 A = 1 141 1 b = (1) 0 1 2 60 0 0 1 2 4 Use your Gaussian Elimination code to solve Ar = b. (c) Test your Gaussian Elimination code for 510 2 40 8 b = (2) 1 1 4 2 0 1

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