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

MCQ

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

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