Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=2, then det(A\)^3(A\)⁻^3 + \(I)(A\)⁻^3 - \(I)(A\)⁻^3 + \(I)) equals:</p>
<p>(A) 1</p>
<p>(B) 2</p>
<p>(C) cannot be determined</p>
<p>(D) 4</p>
Step-by-Step Solution
Key Concept: Expansion produces non-linear combinations.
1. Expand terms
2. Expression contains addition/subtraction
3. Cannot determine
Correct Answer: 3