Question

Determine the value of the following:

Answer 1

Answer:

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

Step-by-step explanation:

Matrix Addition

Given two matrices A and B, the sum of A+B can only be defined if both matrices are of the same order, i.e. they have the same number of files and columns. If that was the case, then the sum of A and B, call it C is defined as

$c_{i,j}=a_{i,j}+b_{i,j}$

In other words, the resulting sum at row i and column j is the sum of the elements in that exact position

We are given the matrices

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

Adding them at the same position, we have

$C=\left[\begin{array}{cc}-2+1&3+1\\2-1&4+2\end{array}\right]$

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

Select option c.