Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

Which of the given values of x and y make the following pair of matrices equal ? $\begin{bmatrix} 3x-2 & y-x\\20 & -2\end{bmatrix}$ and $\begin{bmatrix} 4 & 2\\ 14x-8 &  y-6\end{bmatrix}$

Options:

x and y cannot be found

$x=-2, y=-4$

$x=4, y=2$

$x=2, y=4$

Correct Answer:

$x=2, y=4$

Explanation:

The correct answer is Option (4) → $x=2, y=4$

comparing corresponding elements

$3x-2=4$

$⇒3x=6⇒x=2$

and $-2=y-6$

so $y=4$

$x=2,y=4$