
Solution for problem 1 Chapter 1
Use MATLAB to generate random 44 matrices A and B. For each of the following, compute
Linear Algebra with Applications | 9th Edition
Use MATLAB to generate random 44 matrices A and B. For each of the following, compute A1, A2, A3, and A4 as indicated and determine which of the matrices are equal (you can use MATLAB to test whether two matrices are equal by computing their difference). (a) A1 = A B, A2 = B A, A3 = (A B ) , A4 = (B A ) (b) A1 = A B , A2 = (A B) , A3 = B A , A4 = (B A) (c) A1 = inv(A B), A2 = inv(A) inv(B), A3 = inv(B A), A4 = inv(B) inv(A) (d) A1 = inv((A B) ), A2 = inv(A B ), A3 = inv(A ) inv(B ), A4 = (inv(A) inv(B))
Step 1 of 4
Let us consider two matrices
and
defined by
Given
The MATLAB code for generating the above matrices is given below.
By running the MATLAB code, it is determined that
Chapter 1, Problem 1 is Solved
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Use MATLAB to generate random 44 matrices A and B. For each of the following, compute