If A is a singular matrix, then A (adj A) is a - Vidyadip

MCQ

If $A$ is a singular matrix, then $\text{A (adj A)}$ is a

A
scalar matrix
✓
zero matrix
C
identity matrix
D
orthogonal matrix

✓

Answer

Correct option: B.

zero matrix

Given $A$ is a singular matrix.
$\Rightarrow ∣A∣ = 0$
$\text{A (adj A) = ∣A∣I = 0I = O}$
$\therefore \text{A (adj A)}$ is a zero matrix.

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