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Equality of Matrices

begin bmatrix...

Question

$If [\begin{matrix} 1 & 1 - 1 & 1 \end{matrix}]$ $[\begin{matrix} x y \end{matrix}] = [\begin{matrix} 24 \end{matrix}]$ , then the values of $x$ and $y$ respectively are

A

- 3, - 1

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B

1, 3

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C

3, 1

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D

- 1, 3

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Solution

The correct option is D $- 1, 3$
From the given matrix equation, we get
$x + y = 2 and - x + y = 4$
Solving the two equations, we get
$x = - 1 and y = 3$

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