Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

If $\begin{bmatrix}2x-1& 4x\\0 & y^2-1\end{bmatrix}=\begin{bmatrix}x+1 & 8\\0 & 24\end{bmatrix}$, then the value of (x+y) is :

Options:

7 and 2

7 and 4

-4 and 3

7 and -3

Correct Answer:

7 and -3

Explanation:

The correct answer is Option (4) → 7 and -3

On comparing corresponding elements

$2x-1=x+1⇒x=2$

$y^2-1=24⇒y^2=25⇒y=±5$

(x + y) = 7 or -3