   Chapter 11.3, Problem 59E ### 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

# SKILLS Plus 5 7 − 6 0 . When do matrices have inverses Find the inverse of the matrix. For what value(s) of x , if any, does the matrix have no inverse? [ 1 e x 0 e x − e 2 x 0 0 0 2 ]

To determine

To find:

The inverse of the matrix [1ex0exe2x0002] and the value(s) of x such that the inverse of [1ex0exe2x0002] does not exist.

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.

Calculation:

Consider A=[1ex0exe2x0002]

Thus the inverse of the matrix A is as follows.

A1=[1212ex012ex12e2x00012]=12[1ex0exe

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