Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=2, then det(A\)^3(A\)⁻^3 - \(I)) equals:</p>
<p>(A) 1</p>
<p>(B) -1</p>
<p>(C) cannot be determined</p>
<p>(D) 2</p>
Step-by-Step Solution
Key Concept: Presence of subtraction prevents simplification.
1. Expression contains $A$⁻^3 - $I$
2. No simplification rule
3. Cannot determine
Correct Answer: 3