Chapter 6 - Matrices and Determinants - Cumulative Review Exercises (Chapters 1-6) - Page 658: 14

$\begin{bmatrix}2&-1\\13&1\end{bmatrix}$

We are given the matrices: $A=\begin{bmatrix}1&-1&0\\2&1&3\end{bmatrix}$ $B=\begin{bmatrix}4&-1\\2&0\\1&1\end{bmatrix}$ Compute $AB$: $AB=\begin{bmatrix}1&-1&0\\2&1&3\end{bmatrix}\begin{bmatrix}4&-1\\2&0\\1&1\end{bmatrix}$ $=\begin{bmatrix}4-2+0&-1+0+0\\8+2+3&-2+0+3\end{bmatrix}$ $=\begin{bmatrix}2&-1\\13&1\end{bmatrix}$