Solve the X in the following equation. $$A = \left[ \begin{array} { c c }
- 3 & - 3 \
2 & 5 \
- 3 & 6
\end{array} \right] \text { and } B = \left[ \begin{array} { c c }
2 & 4 \
- 1 & - 2 \
1 & 12
\end{array} \right]$$
X = 3A - 2B

A) $$\left[ \begin{array} { c c }
- 13 & - 17 \
8 & 19 \
- 11 & - 6
\end{array} \right]$$
B) $$\left[ \begin{array} { c c }
- 11 & - 17 \
8 & - 6 \
- 11 & 19
\end{array} \right]$$
C) $$\left[ \begin{array} { c c }
- 9 & - 17 \
- 11 & 19 \
8 & - 6
\end{array} \right]$$
D) $$\left[ \begin{array} { c c }
- 15 & 19 \
8 & - 17 \
- 11 & - 6
\end{array} \right]$$
E) $$\left[ \begin{array} { c c }
- 17 & - 17 \
19 & 8 \
- 11 & - 6
\end{array} \right]$$

Question

Solve the X in the following equation. ​​ $$A = \left[ \begin{array} { c c } 
- 3 & - 3 \
2 & 5 \
- 3 & 6
\end{array} \right] \text { and } B = \left[ \begin{array} { c c } 
2 & 4 \
- 1 & - 2 \
1 & 12
\end{array} \right]$$ ​
X = 3A - 2B
​
A) $$\left[ \begin{array} { c c } 
- 13 & - 17 \
8 & 19 \
- 11 & - 6
\end{array} \right]$$
B) $$\left[ \begin{array} { c c } 
- 11 & - 17 \
8 & - 6 \
- 11 & 19
\end{array} \right]$$
C) $$\left[ \begin{array} { c c } 
- 9 & - 17 \
- 11 & 19 \
8 & - 6
\end{array} \right]$$
D) $$\left[ \begin{array} { c c } 
- 15 & 19 \
8 & - 17 \
- 11 & - 6
\end{array} \right]$$
E) $$\left[ \begin{array} { c c } 
- 17 & - 17 \
19 & 8 \
- 11 & - 6
\end{array} \right]$$

Quizplus · Accepted Answer

To solve for X = 3A - 2B, we first multiply each element in matrix A by 3 and each element in matrix B by 2, then subtract the resulting matrices. The calculation for each element in the resulting matrix X gives the values in choice A.

Solve the X in the Following Equation ​ X = 3A - 2B ​ A)

Solve the X in the Following Equation
X = 3A - 2B

A)