   Chapter 11.4, Problem 26E ### 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

# 21-28 • Finding Determinants Find the determinant of the matrix. Determine whether the matrix has an inverse, but don’t calculate the inverse. [ 0 − 1 0 2 6 4 1 0 3 ]

To determine

To find:

The determinant of the matrix  and check whether the matrix is invertible.

Explanation

Approach:

The determinant is a value assigned to a square matrix.

The determinant of a n×n matrix A is denoted by det(A) and is given below.

det(A)=|A|=|a11a12a1na21a22a2nan1an2ann|=a11A11+a12A12++a1nA1n

Where, A1n is the nth cofactor corresponding to the element a1n.

Calculations:

Consider the matrix .

The determinant of the matrix  is given below

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