Solved: Find A–1 as in Exercise 17, using A from Exercise

Chapter 2, Problem 18E

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Find A–1 as in Exercise 17, using A from Exercise 3.Exercise 17: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. Exercise 3:In Exercises 1–6, solve the equation Ax = b by using the LU factorization given for A.

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