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Solutions for Linear Algebra with Applications | 9th Edition | ISBN: 9780321962218 | Authors: Steven J. Leon 9780321962218

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


Problem 1

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))

Accepted Solution
Step-by-Step Solution:

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

Step 2 of 4


Step 3 of 4

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Use MATLAB to generate random 44 matrices A and B. For each of the following, compute