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