Answer: Real.
- A Complex conjugates
- B Real
- C Positive only
- D Zero
Correct answer: B. Real
Explanation: Proof sketch: if Av = λv with v≠0, take conjugate transpose - v*A = λ̄v*. Then v*Av = λ̄(v*v). But also v*Av = λ(v*v), so λ = λ̄, meaning λ is real. Answer: Real.
Element aij of matrix A sits at the intersection of row i and column j.
Concept context
Matrix operations, determinants, inverses, and solving linear systems