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  4. If [1&1 -1&1][x y] = [2 4] then the values of x and y respectively are

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Q. If $\begin{bmatrix}1&1\\ -1&1\end{bmatrix}\begin{bmatrix}x\\ y\end{bmatrix} = \begin{bmatrix}2\\ 4\end{bmatrix}$ then the values of x and y respectively are

KCETKCET 2018Matrices

Solution:

Given $\begin{bmatrix}1&1\\ -1&1\end{bmatrix}\begin{bmatrix}x\\ y\end{bmatrix} = \begin{bmatrix}2\\ 4\end{bmatrix}$
$\Rightarrow \, x + y = 2$ and $- x + y = 4$
$\Rightarrow \, x = - 1, y = 3$