Evaluate the determinant of a 2×2 matrix with rows (cosθ, −sinθ) and (sinθ, cosθ).
Evaluate the determinant of a 2×2 matrix with rows (cosθ, −sinθ) and (sinθ, cosθ).
- A. -1
- B. 0
- C. 1
- D. cos2θ
Answer: C) 1
Explanation: Determinant = (cosθ × cosθ) − (−sinθ × sinθ) = cos²θ + sin²θ = 1.
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