If [ cc 1 & 1 -1 & 1 ] [ l x y ]= [ l 2 4 ], then the values of x… - Vidyadip

MCQ

If $\left[\begin{array}{cc}1 & 1 \\ -1 & 1\end{array}\right]\left[\begin{array}{l}x \\ y\end{array}\right]=\left[\begin{array}{l}2 \\ 4\end{array}\right]$, then the values of $x$ and $y$ respectively are

A
$-3,-1$
B
1,3
C
3,1
✓
$-1,3$

✓

Answer

Correct option: D.

$-1,3$

(D) $\left[\begin{array}{cc}1 & 1 \\ -1 & 1\end{array}\right]\left[\begin{array}{l}x \\ y\end{array}\right]=\left[\begin{array}{l}2 \\ 4\end{array}\right]$
$\begin{array}{l}\Rightarrow x+y=2 \text { and }-x+y=4 \\ \Rightarrow x=-1, y=3\end{array}$

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