\(F(x) = \begin{bmatrix}cosx&-sinx &0\\[0.3em]sinx&cosx&0\\[0.3em]0&0&0\end{bmatrix}\)

Question

If (F(x) = \begin{bmatrix}cosx&-sinx &0\[0.3em]sinx&cosx&0\[0.3em]0&0&0\end{bmatrix})F(y) = F(x +y)

Answer 1

= F(x + y) = RHS