If A is a square matrix of order 3 and $

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

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

Options:

$\frac{1}{2}$

$-\frac{1}{2}$

-2

Correct Answer:

$\frac{1}{2}$

Explanation:

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

$|A|= -2$

$AA^{-1}=I$

so $|A|=\frac{1}{|A^{-1}|}$

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