Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

If $A=\begin{bmatrix}2&4\\x&\frac{-1}{2}\end{bmatrix}$ and A is singular, then x is equal to:

Options:

$\frac{1}{4}$

$-\frac{1}{4}$

-7

32

Correct Answer:

$-\frac{1}{4}$

Explanation:

The correct answer is Option (2) → $-\frac{1}{4}$

$A=\begin{bmatrix}2&4\\x&\frac{-1}{2}\end{bmatrix}$

A is singular, $|A|=0$

$⇒-1-4x=0$

$⇒x=-\frac{1}{4}$