Solution Found!
When A is invertible, MATLAB finds A –1 by factoring A =
Chapter 2, Problem 17E(choose chapter or problem)
Problem 17E
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.
Questions & Answers
QUESTION:
Problem 17E
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.
ANSWER:
Solution :
Step 1 :
the equation Ax = b by using the LU factorization given for A.