Develop, debug, and test a program in either a high-level language or macro language of your choice to solve a system of equation with Gauss elimination with partial pivoting. Base the program on the pseudocode from Figure. Test the program using the following system (which has an answer of x1 = x2 = x3 = 1),
x1 + 2x2 – x3 = 2
5x1 + 2x2 + 2x3 = 9
–3x1 + 5x2 – x3