First slide

Introduction to matrices

Question

If $[\begin{array}{ll} 1 4 \\ 2 0 \end{array}] = [\begin{array}{ll} x y^{2} \\ z 0 \end{array}], y < 0$ then $x - y + k$ is equal to

Easy

A

5
B

2
C

1
D

-3

Solution

By the equality of two matrices, $x = 1, y^{2} = 4, z = 2$
$\Rightarrow x = 1, y = - 2, z = 2$ as $y < 0$ .
$∴ x - y + z = 1 + 2 + 2 = 5$

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