Chapter 3 Linear Systems and Matrices - 3.8 Use Inverse Matrices to Solve Linear Systems - Guided Practice for Example 1 - Page 210: 1

$A^{-1}=\begin{bmatrix} \frac{2}{11} &\frac{-1}{22}\\ \frac{-1}{11} & \frac{3}{11} \end{bmatrix}$

$A^{-1}=\frac{1}{24-2}\begin{bmatrix} 4 & -1\\ -2 & 6 \end{bmatrix}=\frac{1}{22}\begin{bmatrix} 4 & -1\\ -2 & 6 \end{bmatrix}=\begin{bmatrix} \frac{2}{11} &\frac{-1}{22}\\ \frac{-1}{11} & \frac{3}{11} \end{bmatrix}$