   Chapter 11.CR, Problem 45E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# 4 5 − 4 6 . Inverse Matrices : Verify that the matrices A and B are inverses of each other by calculating the products A B and B A . A = [ 2 − 5 − 2 6 ] , B = [ 3 5 2 1 1 ]

To determine

To Find:

The products AB and BA and the given matrices A= and B= are inverses of each other.

Explanation

Approach:

Two matrices A and B can be multiplied if they satisfy the condition that the number of columns in A is the same as the number of rows in B.

If A is a square matrix of dimension n×n and there exists another square matrix B of dimension n×n such that AB=I=BA, then B is the inverse of A.

Calculation:

AB==[23+(5)1252+(5)1(2)3+61(2)52+61]=[65556+65+6]==I

And,

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