Question

paper copies and electronically, as shown in the given tables.
june

	paper	digital
nonfiction	2	6

july

	paper	digital
nonfiction	6	1

which matrix equation could the malones use to show the total books theyve read of each different type so far this summer?
a. $\begin{bmatrix} 7 & 1 \\\\ 2 & 6 end{bmatrix} + \begin{bmatrix} 4 & 3 \\\\ 6 & 1 end{bmatrix} = \begin{bmatrix} 11 & 4 \\\\ 8 & 7 end{bmatrix}$
b. $\begin{bmatrix} 7 & 1 \\\\ 2 & 6 end{bmatrix} - \begin{bmatrix} 4 & 3 \\\\ 6 & 1 end{bmatrix} = \begin{bmatrix} 3 & -2 \\\\ -4 & 5 end{bmatrix}$
c. $\begin{bmatrix} 6 & 2 \\\\ 1 & 7 end{bmatrix} + \begin{bmatrix} 3 & 4 \\\\ 1 & 6 end{bmatrix} = \begin{bmatrix} 9 & 6 \\\\ 2 & 13 end{bmatrix}$
d. $\begin{bmatrix} 6 & 2 \\\\ 1 & 7 end{bmatrix} - \begin{bmatrix} 3 & 4 \\\\ 1 & 6 end{bmatrix} = \begin{bmatrix} 3 & -2 \\\\ 0 & 1 end{bmatrix}$

Explanation:

Step1: Represent June as matrix

$$\begin{bmatrix} 7 & 1 \\ 2 & 6 \end{bmatrix}$$

Step2: Represent July as matrix

$$\begin{bmatrix} 4 & 3 \\ 6 & 1 \end{bmatrix}$$

Step3: Add corresponding matrix entries

$$\begin{bmatrix} 7+4 & 1+3 \\ 2+6 & 6+1 \end{bmatrix} = \begin{bmatrix} 11 & 4 \\ 8 & 7 \end{bmatrix}$$

Answer:

A.

$$\begin{bmatrix} 7 & 1 \\ 2 & 6 \end{bmatrix} + \begin{bmatrix} 4 & 3 \\ 6 & 1 \end{bmatrix} = \begin{bmatrix} 11 & 4 \\ 8 & 7 \end{bmatrix}$$