   Chapter 11.3, Problem 4E ### 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

# 3 − 6 ■ Verifying the Inverse of a Matrix: Calculate the products A B and B A to verify that B is the inverse of A . A = [ 2 − 3 4 − 7 ] B = [ 7 2 − 3 2 2 − 1 ]

To determine

To find:

The products AB and BA and hence verify that the given matrix B= is inverse of the matrix A=.

Explanation

Approach:

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

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

Calculation:

AB==[272+(3)22(32)+(3)(1)472+(7)24(32)+(7)(1)]==I

And,

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