Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

If A is a square matrix of order 3 and $|A|= -2$ and , $|-2A^{-1}|$ is :

Options:

-4

4

8

2

Correct Answer:

4

Explanation:

The correct answer is Option (2) → 4

$|A|= -2$ so $|-2A^{-1}|=-2|A^{-1}|$

as $|A|=|A^{-1}|⇒|-2A^{-1}|=4$