Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

If A is a singular matrix, then adj A is

Options:

non-singular

singular

symmetric

not defined

Correct Answer:

singular

Explanation:

We have, $|A| = 0$.

Let A be a square matrix of order n. Then,

$|adj\, A|=|A|^{n-1}$

$⇒|adj\, A|= 0$

$⇒adj\, A$ is a singular matrix.