Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=3, then det(A\)^4(A\)⁻^4 + \(I)) equals:</p>
<p>(A) 1</p>
<p>(B) 3</p>
<p>(C) cannot be determined</p>
<p>(D) 81</p>
Step-by-Step Solution
Key Concept: Sum of matrices inside determinant cannot be simplified.
1. Expression involves $A$⁻^4 + $I$
2. No simplification rule
3. Cannot determine
Correct Answer: 3