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) -1</p>
<p>(C) cannot be determined</p>
<p>(D) 3</p>
Step-by-Step Solution
Key Concept: Subtraction inside determinant cannot be separated.
1. Contains $A$⁻^4 - $I$
2. Cannot simplify determinant
3. Answer: cannot be determined
Correct Answer: 3