Matrices & Determinants
Inverse of a matrix
Grade 12
Question:
<p>If \(\det(A)\)=5, then det((A\)^{-1})^2) equals:</p>
<p>(A) 1/25</p>
<p>(B) 1/5</p>
<p>(C) 5</p>
<p>(D) 25</p>
Step-by-Step Solution
Key Concept: det((A$^{-1})^2) = (det $A$^{-1})^2 = (1/5)^2.
1. det(A$^{-1})=1/5
2. Square \to 1/25
Correct Answer: 1