Use determinants to decide whether the matrix has an inverse.

Name: Use determinants to decide whether the matrix has an inverse.
Brand: Quizplus
Rating: 4.8 (38 reviews)

Question

Use determinants to decide whether the matrix has an inverse.
​

Quizplus · Accepted Answer

To determine if a matrix has an inverse, we need to calculate its determinant. If the determinant is zero, then the matrix does not have an inverse.

Using the formula for a 3x3 determinant, we get:

| 2 1 1 |
| 6 2 1 |
| 4 1 2 |

= 2(2*2 - 1*1) - 1(6*2 - 1*4) + 1(6*1 - 2*4)
= 4 - 8 + 2
= -2

Since the determinant is not equal to zero, the matrix has an inverse.

Use Determinants to Decide Whether the Matrix Has an Inverse