Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=3, then det(A\)^4(A\)⁻^4 + \(I)(A\)⁻^4 - \(I)(A\)⁻^4 + \(I)) equals:</p>
<p>(A) 1</p>
<p>(B) 3</p>
<p>(C) cannot be determined</p>
<p>(D) 9</p>
Step-by-Step Solution
Key Concept: Multiple products still reduce to expressions involving addition.
1. Expand expression
2. Includes sum/difference
3. Cannot determine determinant
Correct Answer: 3