First, students will learn how to find the inverse of \(2 \times 2\) and \(3 \times 3\) matrices using Gauss-Jordan elimination. After that, students will learn how to derive the following formula, for the inverse of \(2 \times 2\) matrices:

$$\begin{bmatrix} a & b \\ c & d \end{bmatrix}^{-1} = \dfrac{1}{ad - bc} \begin{bmatrix} d & -b \\ -c & a \end{bmatrix}$$Watch these Eddie Woo videos, in order: