Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(A\) is identity matrix, then det(A\)^n) equals:</p>
<p>(A) 1</p>
<p>(B) n</p>
<p>(C) 0</p>
<p>(D) cannot be determined</p>
Step-by-Step Solution
Key Concept: $I$^n = $I$, so determinant remains 1.
1. $I$^n = $I$
2. $\det(I)$=1
Correct Answer: 1