Operations with Matrices Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items
Question
Subtract the given matrices, if possible.
[56453967] −[44 386352]
(2 points)
$$
\begin{bmatrix}
5 & 6 \\
4 & 5 \\
3 & 9 \\
6 & 7 \\
\end{bmatrix} - \begin{bmatrix}
4 & 4 \\
3 & 8 \\
6 & 3 \\
5 & 2 \\
\end{bmatrix}$$
To subtract these matrices, we must subtract the corresponding elements:
$$\begin{bmatrix}
5-4 & 6-4 \\
4-3 & 5-8 \\
3-6 & 9-3 \\
6-5 & 7-2 \\
\end{bmatrix} = \begin{bmatrix}
1 & 2 \\
1 & -3 \\
-3 & 6 \\
1 & 5 \\
\end{bmatrix}$$
Therefore, the result of subtracting the given matrices is:
$$\begin{bmatrix}
1 & 2 \\
1 & -3 \\
-3 & 6 \\
1 & 5 \\
\end{bmatrix}$$