Answer
$\begin{bmatrix}
6.4 & -1.9
\\
-6.4 & 0.8
\end{bmatrix}
+
\begin{bmatrix}
-2.5 & -0.4
\\
5.8 & 8.3
\end{bmatrix}
=
\begin{bmatrix}
3.9 & -2.3
\\
-0.6 & 9.1
\end{bmatrix}$
Work Step by Step
Adding/subtracting the corresponding elements, the given matrix expression $
\begin{bmatrix}
6.4 & -1.9
\\
-6.4 & 0.8
\end{bmatrix}
+
\begin{bmatrix}
-2.5 & -0.4
\\
5.8 & 8.3
\end{bmatrix}
,$ simplifies to
\begin{align*}
&
\begin{bmatrix}
6.4+(-2.5) & -1.9+(-0.4)
\\
-6.4+5.8 & 0.8+8.3
\end{bmatrix}
\\\\&=
\begin{bmatrix}
3.9 & -2.3
\\
-0.6 & 9.1
\end{bmatrix}
.\end{align*}
Hence, $
\begin{bmatrix}
6.4 & -1.9
\\
-6.4 & 0.8
\end{bmatrix}
+
\begin{bmatrix}
-2.5 & -0.4
\\
5.8 & 8.3
\end{bmatrix}
=
\begin{bmatrix}
3.9 & -2.3
\\
-0.6 & 9.1
\end{bmatrix}
$.
