Perform the indicated operations.
$\frac { 1 } { 2 } \left[ \begin{array} { c c c }
28 & 14 & 10 \
4 & 0 & 2
\end{array} \right] - 3 \left[ \begin{array} { c c c }
1 & 0 & 1 \
- 1 & 1 & - 1
\end{array} \right]$
A) $\left[ \begin{array} { c c c }
11 & 8 & 2 \
- 1 & - 3 & 4
\end{array} \right]$
B) $\left[ \begin{array} { c c c }
11 & 7 & 2 \
5 & - 3 & 4
\end{array} \right]$
C) $\left[ \begin{array} { c c c }
11 & 0 & 2 \
5 & 0 & 4
\end{array} \right]$
D) $\left[ \begin{array} { c c c }
17 & 7 & 8 \
5 & - 3 & - 4
\end{array} \right]$
E) $\left[ \begin{array} { c c c }
25 & 14 & 7 \
11 & - 3 & 7
\end{array} \right]$

Question

Perform the indicated operations. 
  $\frac { 1 } { 2 } \left[ \begin{array} { c c c } 
28 & 14 & 10 \
4 & 0 & 2
\end{array} \right] - 3 \left[ \begin{array} { c c c } 
1 & 0 & 1 \
- 1 & 1 & - 1
\end{array} \right]$  
A) $\left[ \begin{array} { c c c } 
11 & 8 & 2 \
- 1 & - 3 & 4
\end{array} \right]$
B) $\left[ \begin{array} { c c c } 
11 & 7 & 2 \
5 & - 3 & 4
\end{array} \right]$
C) $\left[ \begin{array} { c c c } 
11 & 0 & 2 \
5 & 0 & 4
\end{array} \right]$
D) $\left[ \begin{array} { c c c } 
17 & 7 & 8 \
5 & - 3 & - 4
\end{array} \right]$
E) $\left[ \begin{array} { c c c } 
25 & 14 & 7 \
11 & - 3 & 7
\end{array} \right]$

Quizplus · Accepted Answer

First, multiply each element in the first matrix by $\frac{1}{2}$ and each element in the second matrix by $3$, then subtract the second result from the first. The correct calculation leads to the matrix in option B.

Perform the Indicated Operations A) [1182−1−34]\left[ \begin{array} { c c c } 11 & 8 & 2 \\- 1 & - 3 & 4\end{array} \right][11−1​8−3​24​]

Perform the Indicated Operations A) $\left[ \begin{array} { c c c } 11 & 8 & 2 \\- 1 & - 3 & 4\end{array} \right]$