Let $A = \left[ \begin{array} { c c c }
1 & 3 & - 3 \
4 & - 5 & 5
\end{array} \right] , B = \left[ \begin{array} { c c c }
5 & 0 & - 1 \
2 & 5 & 3
\end{array} \right]$ , and $C = \left[ \begin{array} { c c c }
2 & 9 & 4 \
- 7 & 7 & 3
\end{array} \right]$ .
Evaluate $A + B - C$ .

A) $\left[ \begin{array} { c c c }
2 & - 6 & 0 \
- 1 & - 7 & 7
\end{array} \right]$
B) $\left[ \begin{array} { c c c }
8 & 12 & - 2 \
- 1 & - 3 & 5
\end{array} \right]$
C) $\left[ \begin{array} { c c c }
- 6 & - 6 & - 12 \
9 & - 7 & - 2
\end{array} \right]$
D) $\left[ \begin{array} { c c c }
4 & - 6 & - 8 \
13 & - 7 & 5
\end{array} \right]$
E) $\left[ \begin{array} { c c c }
4 & - 3 & - 5 \
12 & 7 & 0
\end{array} \right]$

Question

Let $A = \left[ \begin{array} { c c c } 
1 & 3 & - 3 \
4 & - 5 & 5
\end{array} \right] , B = \left[ \begin{array} { c c c } 
5 & 0 & - 1 \
2 & 5 & 3
\end{array} \right]$ , and $C = \left[ \begin{array} { c c c } 
2 & 9 & 4 \
- 7 & 7 & 3
\end{array} \right]$ .  
Evaluate $A + B - C$ .
 
A) $\left[ \begin{array} { c c c } 
2 & - 6 & 0 \
- 1 & - 7 & 7
\end{array} \right]$
B) $\left[ \begin{array} { c c c } 
8 & 12 & - 2 \
- 1 & - 3 & 5
\end{array} \right]$
C) $\left[ \begin{array} { c c c } 
- 6 & - 6 & - 12 \
9 & - 7 & - 2
\end{array} \right]$
D) $\left[ \begin{array} { c c c } 
4 & - 6 & - 8 \
13 & - 7 & 5
\end{array} \right]$
E) $\left[ \begin{array} { c c c } 
4 & - 3 & - 5 \
12 & 7 & 0
\end{array} \right]$

Quizplus · Accepted Answer

To find $A + B - C$, add matrices $A$ and $B$ first, then subtract matrix $C$ from the result. Adding $A$ and $B$ gives $\left[ \begin{array} { c c c } 6 & 3 & -4 \ 6 & 0 & 8 \end{array} \right]$. Subtracting $C$ from this sum gives $\left[ \begin{array} { c c c } 4 & -6 & -8 \ 13 & -7 & 5 \end{array} \right]$.

Let , And C=[294−773]C = \left[ \begin{array} { c c c } 2 & 9 & 4 \\- 7 & 7 & 3\end{array} \right]C=[2−7​97​43​]

Let , And $C = \left[ \begin{array} { c c c } 2 & 9 & 4 \\- 7 & 7 & 3\end{array} \right]$