Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=k, then det(A\) + \(A\)^{-1}) equals:</p>
<p>(A) k + 1/k</p>
<p>(B) cannot be determined</p>
<p>(C) 1</p>
<p>(D) k^2</p>
Step-by-Step Solution
Key Concept: Determinant of sum cannot be expressed using individual determinants.
1. No formula for det(A\) + \(A\)^{-1})
2. Cannot determine
Correct Answer: 2