Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=5, then det(A\)^5A^3A⁻^7) equals:</p>
<p>(A) 5</p>
<p>(B) 25</p>
<p>(C) 125</p>
<p>(D) 625</p>
Step-by-Step Solution
Key Concept: Exponent sum: 5 + 3 - 7 = 1 \Rightarrow $A$.
1. Expression = $A$
2. $\det(A)$=5
Correct Answer: 1