   Chapter 11.3, Problem 60E ### 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? [ x 1 − x 1 x − 1 ]

To determine

To find:

The inverse of the given matrix [x1x1x1] and the value(s) of x such that the inverse of [x1x1x1] does not exist.

Explanation

Approach:

If a 2×2 matrix A=[abcd], then

If adbc=0, then the inverse does not exist.

Calculation:

Consider A=[x1x1x1]

First of all, the element 1x1 is not defined for x=1 hence x1.

Consider, x2x1=0

x2=0x=0

For x=0, the inverse of the matrix [x1x1x1] does not exist.

However, for x0, 1 inverse exists and calculated as follows.

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