જો $A = \begin{bmatrix} \cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{bmatrix}$ અને $\theta = \frac{2 \pi}{7}$ હોય, તો $A^{100} = A \times A \times \dots \times A$ ($100$ વખત) ની કિંમત શોધો.

• A
  $\begin{bmatrix} \cos 2 \theta & -\sin 2 \theta \\ \sin 2 \theta & \cos 2 \theta \end{bmatrix}$
• B
  $\begin{bmatrix} \cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{bmatrix}$
• C
  $\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$
• D
  $\begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix}$