JEE MAIN - Mathematics Hindi (2023 - 1st February Evening Shift - No. 11)
यदि $$\mathrm{A = {1 \over 2}\left[ {\matrix{
1 & {\sqrt 3 } \cr
{ - \sqrt 3 } & 1 \cr
} } \right]}$$ है, तो :
$$\mathrm{A^{30}-A^{25}=2I}$$
$$\mathrm{A^{30}+A^{25}-A=I}$$
$$\mathrm{A^{30}=A^{25}}$$
$$\mathrm{A^{30}+A^{25}+A=I}$$
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