Answer:
The answer is A.
matrix A + matrix B =
![\left[\begin{array}{cc}3&0\\2&-1\end{array}\right] + \left[\begin{array}{cc}2&8\\0.6&3\end{array}\right] = \left[\begin{array}{cc}5&8\\2.6&2\end{array}\right]](https://img.qammunity.org/2018/formulas/mathematics/high-school/9915i88br2vioahn1cnxhevdcokj9cjgkn.png)
Explanation:
The sum of two matrices has as a result a matrix with the same number of rows and columns. This is done by adding each corresponding element of the matrices, that means, the each element (same row and column) of matrix A adding with each element (same row and column) of matrix b, and so on.
So here is the excercise step by step:
matrix A + matrix B =
![\left[\begin{array}{cc}3&0\\2&-1\end{array}\right] + \left[\begin{array}{cc}2&8\\0.6&3\end{array}\right] =](https://img.qammunity.org/2018/formulas/mathematics/high-school/u0clje9jrkbh9cqpxk8cslhtjegeth63px.png)
![\left[\begin{array}{cc}3+2&0+8\\2+0.6&-1+3\end{array}\right] =](https://img.qammunity.org/2018/formulas/mathematics/high-school/lmud6vxu8186rohuq8jzveyflgub7vys2r.png)
![= \left[\begin{array}{cc}5&8\\2.6&2\end{array}\right]](https://img.qammunity.org/2018/formulas/mathematics/high-school/7a4rj3hgpe4q6zi1kgo2bp7c4wu6g301uj.png)