   Chapter 11.3, Problem 18E ### 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

# 1 1 − 2 6 ■ Finding the inverse of a matrix Find the inverse of a matrix if it exists [ 4 2 3 3 3 2 1 0 1 ]

To determine

To Find:

The inverse of the given matrix .

Explanation

Approach:

If we take a 3×6 matrix with left half as matrix B and right half as I3 and transform the left half into identity matrix by performing elementary row operations on the entire matrix, the right half becomes inverse of the matrix 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:

The given matrix is 

Now we take a matrix of dimension 3×6 with left half as matrix B and right half as I3 and perform row operations to transform the left half into I3.

R1R3R2R23R1R3R34R1R213R2

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