Question

If $\left[\begin{array}{cc}2x& 3\\ 0& y-1\end{array}\right]=\left[\begin{array}{cc}x-3& 3\\ 0& 2\end{array}\right],$ then the values of $x$ and $y$ respectively are

• A. $3,-3$
• B. $-3,3$
• C. $-3,-3$
• D. $3,3$

Answer 1

Answer: (B)

$-3,3$

Given $\left[\begin{array}{cc}2x& 3\\ 0& y-1\end{array}\right]=\left[\begin{array}{cc}x-3& 3\\ 0& 2\end{array}\right]$

Equating corresponding elements, we get

$2x=x-3\Rightarrow x=-3$ and

$y-1=2\Rightarrow y=3$