(a) Write a function that solves a linear system using Gauss-Jordan Elimination with partial pivoting. Name the function lastname gaussjordan_solve. It should take as input the matrix A and RHS vector b, and provide as output a permutation vector p, the final solution to the linear system x, and a vector d with the diagonal values after Gauss-Jordan elimination Do not explicitly create the elimination or permutation matrices. Write this function modifying the LU factorization with partial pivoting code discussed in class. (b) Show that the dominant term in the floating point operation count is n3