Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=k, then det((A\)^0)^n) equals:</p>
<p>(A) 1</p>
<p>(B) k</p>
<p>(C) k^n</p>
<p>(D) 0</p>
Step-by-Step Solution
Key Concept: (A$^0)^n = $I$^n = $I$.
1. $A$^0 = $I$
2. $I$^n = $I$
3. $\det(I)$=1
Correct Answer: 1