Mathematics · 2022
JEE Main · 28 June 2022, Shift 2 · Q27
Let A = (1+i, 1; -i, 0) where i=√ -1. Then, the number of elements in the set { n ∈{1,2, ….., 100}: A^n = A } is \ \ \ \.
Let $\displaystyle \mathrm{A}=\left(\begin{array}{ll}1+i & 1 \\ -i & 0\end{array}\right)$ where $\displaystyle i=\sqrt{-1}$. Then, the number of elements in the set $\displaystyle \left\{\mathrm{n} \in\{1,2, \ldots . ., 100\}: \mathrm{A}^{\mathrm{n}}=\mathrm{A}\right\}$ is \_\_\_\_.
Official answer
25
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.