As discussed in the class, implement two programs that estimate the solution of a system of linear equations as stated below. First, set the coefficient matrix A, the variable vector X, and the outcome vector b with known values such that Ax = b. You may use an offthe-shelf random number generator function to create A and x matrices. You must provide some discussions, math formulations, screenshots of your code and results. Also, mention the dimensions of all matrices as required.

c. Implement the gradient descent optimization algorithm to solve for x such that it minimizes ||Ax b||2, where 11. 112 is the two norm. You need to update the solution for x iteratively taking the slope of the error into consideration. c. Implement the gradient descent optimization algorithm to solve for x such that it minimizes ||Ax b||2, where 11. 112 is the two norm. You need to update the solution for x iteratively taking the slope of the error into consideration