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

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