When A is invertible, MATLAB finds A –1 by factoring A = LU (where L may be permuted low...

When A is invertible, MATLAB finds A ^–1 by factoring A = LU (where L may be permuted lower triangular), inverting L and U, and then computing U ^–1 L ^–1. Use this method to compute the inverse of A in Exercise 2. (Apply the algorithm in Section 2.2 to L and to U.)

Exercise 2:

In Exercises 1–6, solve the equation Ax = b by using the LU factorization given for A. In Exercises 1 and 2, also solve Ax = b by ordinary row reduction.