Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=2, then det(A\)^3(A\)⁻^3 + \(I)^2) 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: Square of sum still blocks simplification.
1. Expression includes (A$⁻^3 + $I)^2
2. Cannot simplify determinant
3. Answer: cannot be determined
Correct Answer: 3