Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=4, then det(A\)^5(I\) + \(A\)⁻^5)(I\) - \(A\)⁻^5)) equals:</p>
<p>(A) 1</p>
<p>(B) 4</p>
<p>(C) cannot be determined</p>
<p>(D) 16</p>
Step-by-Step Solution
Key Concept: Expression simplifies to $A$^5(I$ - $A$^{-1}^0), still non-linear.
1. Expand
2. Expression involves subtraction
3. Cannot determine
Correct Answer: 3