If A is a singular matrix, then adj A is. - Vidyadip

MCQ

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

A
non$−$singular
✓
singular
C
symmetric
D
not defined

✓

Answer

Correct option: B.

singular

Given $∣A∣ = 0$
We know $∣\text{adj A}∣ = ∣A∣ n - 1$
$\therefore\ ∣\text{adj A}∣ = 0$
Hence$, \text{adj A}$ is singular

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