# Chapter 3 Linear Systems and Matrices - Chapter Review - Page 225: 20

$$\begin{bmatrix} 10&-13\\ 3&-6 \end{bmatrix}$$

#### Work Step by Step

We know that to add matrices, one must add each of the components to the corresponding components of the other matrix. For instance, in the form of a 2 by 2 matrix: $\begin{bmatrix} a & b \\ c&d\end{bmatrix}$ + $\begin{bmatrix} e& f \\ g&h \end{bmatrix}$=$\begin{bmatrix} a +e& b+f \\ c+g &d +h\end{bmatrix}$ Note, while a two by two matrix is shown, this also works for matrices of all sizes. The same process also works for subtraction, multiplication, and division. Performing this operation for the given matrix, we obtain: $$\begin{bmatrix} 10&-13\\ 3&-6 \end{bmatrix}$$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.