   Chapter 11.CR, Problem 53E ### 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

# 5 3 − 6 0 Determinants and Inverse Matrices Find the determinant and, if possible, the inverse of the matrix. [ 1 4 2 9 ]

To determine

To find:

The determinant of the matrix , and the inverse, if it exists.

Explanation

Approach:

Determinant of a 2×2 matrix A=[acbd] is given by:

If a 2×2 matrix A=[abcd], then

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

Calculation:

Consider A=

Thus,

det(A)=|1429|=(19)(24)=98=10

This implies, inverse exists and is given by:

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