turkey-yks 2012 Q37

turkey-yks · Other · lys1-math Matrices Linear System and Inverse Existence
$$\begin{aligned} & A = \left[ \begin{array} { l l } 2 & 3 \\ 1 & 2 \end{array} \right] \\ & B = \left[ \begin{array} { l l } 1 & 2 \\ 0 & 5 \end{array} \right] \end{aligned}$$
With the matrix notation
$$( 2 A - B ) \cdot \left[ \begin{array} { l } x \\ y \end{array} \right] = \left[ \begin{array} { l } 1 \\ 0 \end{array} \right]$$
Which of the following is the system of linear equations?
A) $\begin{aligned} & x - 4 y = 0 \\ & 2 x - y = 1 \end{aligned}$
B) $\begin{aligned} & x + 2 y = 0 \\ & 2 x - 3 y = 1 \end{aligned}$
C) $\begin{aligned} & 2 x + y = 1 \\ & x - y = 0 \end{aligned}$
D) $\begin{aligned} & 3 x - 2 y = 1 \\ & 2 x + y = 0 \end{aligned}$
E) $\begin{aligned} & 3 x + 4 y = 1 \\ & 2 x - y = 0 \end{aligned}$
$$\begin{aligned}
& A = \left[ \begin{array} { l l } 
2 & 3 \\
1 & 2
\end{array} \right] \\
& B = \left[ \begin{array} { l l } 
1 & 2 \\
0 & 5
\end{array} \right]
\end{aligned}$$

With the matrix notation

$$( 2 A - B ) \cdot \left[ \begin{array} { l } 
x \\
y
\end{array} \right] = \left[ \begin{array} { l } 
1 \\
0
\end{array} \right]$$

Which of the following is the system of linear equations?

A) $\begin{aligned} & x - 4 y = 0 \\ & 2 x - y = 1 \end{aligned}$\\
B) $\begin{aligned} & x + 2 y = 0 \\ & 2 x - 3 y = 1 \end{aligned}$\\
C) $\begin{aligned} & 2 x + y = 1 \\ & x - y = 0 \end{aligned}$\\
D) $\begin{aligned} & 3 x - 2 y = 1 \\ & 2 x + y = 0 \end{aligned}$\\
E) $\begin{aligned} & 3 x + 4 y = 1 \\ & 2 x - y = 0 \end{aligned}$