Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=3, then det(A\)^{-1}\(A\)^{-1}\(A\)^{-1}) equals:</p>
<p>(A) 1/27</p>
<p>(B) 1/9</p>
<p>(C) 1/3</p>
<p>(D) 3</p>
Step-by-Step Solution
Key Concept: det(A$⁻^3) = (det $A)⁻^3.
1. det(A$⁻^3) = (det $A)⁻^3
2. = 3⁻^3 = 1/27
Correct Answer: 1