Chapter 10 - 10.2 - Operations with Matrices - 10.2 Exercises - Page 724: 10

Part A: $\begin{bmatrix} -2 & 0\\ 6 & 3\\ \end{bmatrix}$ Part B: $\begin{bmatrix} 4 & 4\\ -2 & -1\\ \end{bmatrix}$ Part C: $\begin{bmatrix} 3 & 6\\ 6 & 3\\ \end{bmatrix}$ Part D: $\begin{bmatrix} 9 & 10\\ -2 & -1\\ \end{bmatrix}$

Part A: $\begin{bmatrix} 1-3 & 2-2\\ 2+4 & 1+2\\ \end{bmatrix}$ = $\begin{bmatrix} -2 & 0\\ 6 & 3\\ \end{bmatrix}$ Part B: $\begin{bmatrix} 1+3 & 2+2\\ 2-4 & 1-2\\ \end{bmatrix}$ = $\begin{bmatrix} 4 & 4\\ -2 & -1\\ \end{bmatrix}$ Part C: $\begin{bmatrix} 3(1) & 3(2)\\ 3(2) & 3(1)\\ \end{bmatrix}$ = $\begin{bmatrix} 3 & 6\\ 6 & 3\\ \end{bmatrix}$ Part D: First, find 2B: $\begin{bmatrix} 2(-3) & 2(-2)\\ 2(4) & 2(2)\\ \end{bmatrix}$ = $\begin{bmatrix} -6 & -4\\ 8 & 4\\ \end{bmatrix}$ Then, find 3A - 2B: $\begin{bmatrix} 3+6 & 6+4\\ 6-8 & 3-4\\ \end{bmatrix}$ = $\begin{bmatrix} 9 & 10\\ -2 & -1\\ \end{bmatrix}$