Matrices & Determinants
General
Grade 12
Question:
If $A$ is square matrix of order 3 then $|\text{adj}(\text{adj } A)| =$
$|A|$
$|A|^2$
$|A|^3$
$|A|^4$
Step-by-Step Solution
Key Concept: General
<div>$\because A$ is square matrix of order 3<br/>$\therefore |\text{adj } A| = |A|^2$<br/>$\therefore |\text{adj}(\text{adj } A)| = |\text{adj } A|^2 = (|A|^2)^2 = |A|^4$</div>
Correct Answer: D