if and only if the determinant is not equal to zero. In other words, a 2 x 2 matrix is only invertible if the determinant of the matrix is not 0. If the determinant is 0, then the matrix is not invertible and has no inverse.">

# 2 x 2 invertible matrix

### 2 x 2 invertible matrix

In this section, we will learn about what an invertible matrix is. An invertible matrix is a square matrix that has an inverse. We say that a square matrix is invertible if and only if the determinant is not equal to zero. In other words, a 2 x 2 matrix is only invertible if the determinant of the matrix is not 0. If the determinant is 0, then the matrix is not invertible and has no inverse.

#### Lessons

An invertible matrix is a square matrix that has an inverse.
We say that a square matrix (or 2 x 2) is invertible if and only if the determinant is not equal to zero.
In other words, if $X$ is a square matrix and det$(X)\neq0$, then $X$ is invertible.
• Introduction
2 x 2 Invertible Matrix Overview

• 1.
Understanding of an Invertible Matrix
You are given that . Is it invertible?

• 2.
You are given that . Is it invertible?

• 3.
You are given that . Is it invertible?

• 4.
You are given that . Is it invertible?

• 5.
You are given that . Is it invertible?

• 6.
You are given that . Is it invertible?