Q. If $A=\frac{1}{2}\begin{bmatrix}1 & \sqrt{3}\\ -\sqrt{3} & 1\end{bmatrix}$ then,
A) $\mathrm{A}^{30}-\mathrm{A}^{25}=2\mathrm{I}$
B) $\mathrm{A}^{30}+\mathrm{A}^{25}+\mathrm{A}=\mathrm{I}$
C) $\mathrm{A}^{30}+\mathrm{A}^{25}-\mathrm{A}=\mathrm{I}$
D) $\mathrm{A}^{30}=\mathrm{A}^{25}$
Explanation
The correct answer is Option C: $\mathrm{A}^{30}+\mathrm{A}^{25}-\mathrm{A}=\mathrm{I}$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.