Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=5, then det(A\)^6(A\)⁻^6 + \(I)^2) equals:</p>
<p>(A) 1</p>
<p>(B) 5</p>
<p>(C) cannot be determined</p>
<p>(D) 25</p>
Step-by-Step Solution
Key Concept: Any expression with $A$ + $B$ inside determinant cannot be simplified.
1. Contains $A$⁻^6 + $I$
2. Cannot simplify determinant
3. Answer: cannot be determined
Correct Answer: 3