Use python to solve the following coding problem.

3. Coding Matrix Operations (Coding Problem) (20 pts) Given the matrices: 5 6 7 51 8 -4-1 03 A=121-1 36 -3 -9 10 146 9 -2 9 5-5-8 4 (a) Perform the PLU decomposition of matrix A (b) Get B-using Gauss-Jordan method. (c) Provide the solution of the system Ax = b using the the PLU decomposition and the Gauss-Jordan method 3. Coding Matrix Operations (Coding Problem) (20 pts) Given the matrices: 5 6 7 51 8 -4-1 03 A=121-1 36 -3 -9 10 146 9 -2 9 5-5-8 4 (a) Perform the PLU decomposition of matrix A (b) Get B-using Gauss-Jordan method. (c) Provide the solution of the system Ax = b using the the PLU decomposition and the Gauss-Jordan method