Mathematics · 2020
JEE Main · 3 September 2020, Shift 1 · Q72
Let A = [x, 1; 1, 0], x ∈ R and A^4=[ a_i j]. If a_11=109, then a_22 is equal to \ \ \ \.
Let $\displaystyle \mathrm{A}=\left[\begin{array}{ll}x & 1 \\ 1 & 0\end{array}\right], x \in \mathbf{R}$ and $\displaystyle \mathrm{A}^4=\left[\mathrm{a}_{i j}\right]$. If $\displaystyle \mathbf{a}_{11}=109$, then $\displaystyle \mathbf{a}_{22}$ is equal to \_\_\_\_.
Official answer
10
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.