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Mathematics

1 answer:

Scilla [17]2 years ago

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

<h3>How to determine the matrix equation?</h3>

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

From the tables, we have the following matrices

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

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

The sum of these matrices is represented as:

June + July = Total

So, we have:

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

Add the elements at corresponding positions

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

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