Question
Given $\left[\begin{array}{cc}2 & 1 \\ -3 & 4\end{array}\right] X=\left[\begin{array}{l}7 \\ 6\end{array}\right]$ write the order of matrix $x$
✓
Answer
Let the order of matrix $x$ be $a \times b$
$\therefore\left[\begin{array}{cc}2 & 1 \\ -3 & 4\end{array}\right]_{2 \times 2} \times X_{a \times b}=\left[\begin{array}{l}7 \\ 6\end{array}\right]_{2 \times 1}$
$\Rightarrow a = 2$ and $b =1$
$\therefore$ The order of the matrix $x = ax , b = 2x \ 1$
$\therefore\left[\begin{array}{cc}2 & 1 \\ -3 & 4\end{array}\right]_{2 \times 2} \times X_{a \times b}=\left[\begin{array}{l}7 \\ 6\end{array}\right]_{2 \times 1}$
$\Rightarrow a = 2$ and $b =1$
$\therefore$ The order of the matrix $x = ax , b = 2x \ 1$
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