Use the matrix capabilities of a graphing utility to evaluate the expression.Round your results to three decimal places,if necessary. $$\frac { 3 } { 7 } \left[ \begin{array} { c c }
- 6 & 6 \
2 & - 4
\end{array} \right] + 6 \left[ \begin{array} { c c }
8 & 2 \
- 5 & - 4
\end{array} \right]$$
A) $$\left[ \begin{array} { c c }
45.429 & 14.571 \
- 29.143 & - 25.714
\end{array} \right]$$
B) $$\left[ \begin{array} { c c }
47.429 & 14.571 \
- 25.714 & - 29.143
\end{array} \right]$$
C) $$\left[ \begin{array} { c c }
49.429 & - 25.714 \
- 29.143 & 14.571
\end{array} \right]$$
D) $$\left[ \begin{array} { l l }
43.429 & - 29.143 \
14.571 & - 25.714
\end{array} \right]$$
E) $$\left[ \begin{array} { c c }
41.429 & 14.571 \
- 29.143 & - 25.714
\end{array} \right]$$

Question

Use the matrix capabilities of a graphing utility to evaluate the expression.Round your results to three decimal places,if necessary.​ $$\frac { 3 } { 7 } \left[ \begin{array} { c c } 
- 6 & 6 \
2 & - 4
\end{array} \right] + 6 \left[ \begin{array} { c c } 
8 & 2 \
- 5 & - 4
\end{array} \right]$$ ​
A) $$\left[ \begin{array} { c c } 
45.429 & 14.571 \
- 29.143 & - 25.714
\end{array} \right]$$
B) $$\left[ \begin{array} { c c } 
47.429 & 14.571 \
- 25.714 & - 29.143
\end{array} \right]$$
C) $$\left[ \begin{array} { c c } 
49.429 & - 25.714 \
- 29.143 & 14.571
\end{array} \right]$$
D) $$\left[ \begin{array} { l l } 
43.429 & - 29.143 \
14.571 & - 25.714
\end{array} \right]$$
E) $$\left[ \begin{array} { c c } 
41.429 & 14.571 \
- 29.143 & - 25.714
\end{array} \right]$$

Quizplus · Accepted Answer

First, multiply each matrix by its scalar, then add the resulting matrices. For the first matrix, multiplying by $\frac{3}{7}$ gives $\left[ \begin{array} { c c } -2.571 & 2.571 \ 0.857 & -1.714 \end{array} \right]$. For the second matrix, multiplying by $6$ gives $\left[ \begin{array} { c c } 48 & 12 \ -30 & -24 \end{array} \right]$. Adding these results gives $\left[ \begin{array} { c c } 45.429 & 14.571 \ -29.143 & -25.714 \end{array} \right]$.

Use the Matrix Capabilities of a Graphing Utility to Evaluate