Mathematics · 2022
JEE Main · 29 July 2022, Shift 2 · Q23
Let X= [1; 1; 1] and A= [-1, 2, 3; 0, 1, 6; 0, 0, -1]. For k ∈ N, if X^′ A^k X=33, then k is equal to \ \ \ \.
Let $\displaystyle X=\left[\begin{array}{l}1 \\ 1 \\ 1\end{array}\right]$ and $\displaystyle A=\left[\begin{array}{ccc}-1 & 2 & 3 \\ 0 & 1 & 6 \\ 0 & 0 & -1\end{array}\right]$. For $\displaystyle \mathrm{k} \in \mathbb{N}$, if $\displaystyle X^{\prime} A^k X=33$, then k is equal to
\_\_\_\_.
Official answer
10
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.