Modify the user-defined function GaussPivot in Program 4-2 (Example 4-3) such that in each step of the elimination the pivot row is switched with the row that has a pivot element with the largest absolute numerical value. For the function name and arguments use x = GaussPivotLarge (a,b), where a is the matrix of coefficients, b is the right-hand-side column of constants, and x is the solution.

(a) Use the GaussPivotLarge function to solve the system:

4056 3243 | | | 123456 -3000 15 -5800-60 8-40045 12 0100 038303