Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

If A is a non-singular matrix of order 3 × 3, then $adj\, (adj\, A)$ is equal to

Options:

$|A| A$

$|A|^2 A$

$|A|^{-1} A$

none of these

Correct Answer:

$|A| A$

Explanation:

If A is a non-singular matrix of order n, then $adj\, (adj\, A) =| A|^{n-2} A$

Here, $n = 3$.

$∴ adj\, (adj\, A) =|A| A$