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JEE Math Practice Question

If $$A = {1 \over 2}\left[ {\begin{matrix} 1 & {\sqrt 3 } \\ { - \sqrt 3 } & 1 \\ \end{matrix} } \right]$$, then :

  1. A.$$\mathrm{A^{30}-A^{25}=2I}$$
  2. B.$$\mathrm{A^{30}+A^{25}-A=I}$$
  3. C.$$\mathrm{A^{30}=A^{25}}$$
  4. D.$$\mathrm{A^{30}+A^{25}+A=I}$$

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