Matrices & Determinants
Inverse of a matrix
Grade 12
Question:
<p>If det(A)=3, then det(2\(A\)^{-1}) for 3 \times 3 matrix equals:</p>
Step-by-Step Solution
Key Concept: det(2A^{-1}) = 2^3 \times det(A$^{-1}) = 8 \times (1/3).
1. det(A$^{-1})=1/3
2. det(2$A$^{-1})=$2^3$ \times (1/3)=8/3
Correct Answer: 1