Mathematics · JEE | MATRICES

Let \( F(x) = \begin{bmatrix} \cos x & -\sin x & 0 \ \sin x & \cos x & 0 \ 0 & 0 & 1 \end{bmatrix} \). What is the simplified expression for the matrix product \( F(x)F(y) \)?

1. A
   \( F(x - y) \)
2. B
   \( I \)
3. C
   \( F(xy) \)
4. D
   \( F(x + y) \)