Select the correct answer.
The members of the Malone family have been reading fiction and nonfiction books over the summer. So far in June and July, they have read books both in paper copies and electronically, as shown in the given tables.

June
Paper Digital
Fiction 7 1
Nonfiction 2 6
July
Paper Digital
Fiction 4 3
Nonfiction 6 1
Which matrix equation could the Malones use to show the total books they’ve read of each different type so far this summer?

The matrix equation that could show the total books is [tex]\left[\begin{array}{cc}7&1\\2&6\end{array}\right] + \left[\begin{array}{cc}4&3\\6&1\end{array}\right] = \left[\begin{array}{cc}11&4\\8&7\end{array}\right][/tex]

How to determine the matrix equation?

The given parameters are the two-way tables attached to the question.

From the tables, we have the following matrices

[tex]June = \left[\begin{array}{cc}7&1\\2&6\end{array}\right][/tex]

[tex]July = \left[\begin{array}{cc}4&3\\6&1\end{array}\right][/tex]

The sum of these matrices is represented as:

June + July = Total

So, we have:

[tex]\left[\begin{array}{cc}7&1\\2&6\end{array}\right] + \left[\begin{array}{cc}4&3\\6&1\end{array}\right][/tex]

Add the elements at corresponding positions

[tex]\left[\begin{array}{cc}11&4\\8&7\end{array}\right][/tex]

Hence, the matrix equation is [tex]\left[\begin{array}{cc}7&1\\2&6\end{array}\right] + \left[\begin{array}{cc}4&3\\6&1\end{array}\right] = \left[\begin{array}{cc}11&4\\8&7\end{array}\right][/tex]