turkey-yks 2013 Q36

turkey-yks · Other · lys1-math Matrices Matrix Algebra and Product Properties
Let A be a $3 \times 3$ matrix. Given that
$$\begin{aligned} & { \left[ \begin{array} { l l l } 2 & 1 & 3 \end{array} \right] \cdot A = \left[ \begin{array} { l l l } 0 & 2 & 2 \end{array} \right] } \\ & { \left[ \begin{array} { l l l } 1 & 4 & 0 \end{array} \right] \cdot A = \left[ \begin{array} { l l l } 3 & 1 & 5 \end{array} \right] } \end{aligned}$$
What is the product $\left[ \begin{array} { l l l } 5 & 6 & 6 \end{array} \right] \cdot A$ equal to?
A) $\left[ \begin{array} { l l l } 2 & 1 & 3 \end{array} \right]$
B) $\left[ \begin{array} { l l l } 3 & 3 & 7 \end{array} \right]$
C) $\left[ \begin{array} { l l l } 3 & 5 & 9 \end{array} \right]$
D) $\left[ \begin{array} { l l l } 6 & 2 & 10 \end{array} \right]$
E) $\left[ \begin{array} { l l l } 6 & 4 & 12 \end{array} \right]$
Let A be a $3 \times 3$ matrix. Given that

$$\begin{aligned}
& { \left[ \begin{array} { l l l } 
2 & 1 & 3
\end{array} \right] \cdot A = \left[ \begin{array} { l l l } 
0 & 2 & 2
\end{array} \right] } \\
& { \left[ \begin{array} { l l l } 
1 & 4 & 0
\end{array} \right] \cdot A = \left[ \begin{array} { l l l } 
3 & 1 & 5
\end{array} \right] }
\end{aligned}$$

What is the product $\left[ \begin{array} { l l l } 5 & 6 & 6 \end{array} \right] \cdot A$ equal to?\\
A) $\left[ \begin{array} { l l l } 2 & 1 & 3 \end{array} \right]$\\
B) $\left[ \begin{array} { l l l } 3 & 3 & 7 \end{array} \right]$\\
C) $\left[ \begin{array} { l l l } 3 & 5 & 9 \end{array} \right]$\\
D) $\left[ \begin{array} { l l l } 6 & 2 & 10 \end{array} \right]$\\
E) $\left[ \begin{array} { l l l } 6 & 4 & 12 \end{array} \right]$