Question

If
\[ R(t) = \begin{pmatrix} \cos t & \sin t \\ -\sin t & \cos t \end{pmatrix}, \]
then \(R(s)R(t)\) equals

• A. \(R(s+t)\)
• B. \(R(s-t)\)
• C. \(R(s)+R(t)\)
• D. None of these

Hint:

Rotation matrices add angles under multiplication.

Answer 1

The Correct Option is A