Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If det(\(A\)) = 2, then det(\(A^3\)) is:</p>
<p>(\(A\)) 6</p>
<p>(\(B\)) 8</p>
<p>(C) 4</p>
<p>(D) 2</p>
Step-by-Step Solution
Key Concept: det(Aⁿ) = (det A)ⁿ.
1. det($A^3$) = (det $A$)^3
2. = $2^3$ = 8
Correct Answer: 2