JEE Main 202229 Jul, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002Let X=[111]X=\left[\begin{array}{l}1 \\ 1 \\ 1\end{array}\right]X=111 and A=[−12301600−1]A=\left[\begin{array}{ccc}-1 & 2 & 3 \\ 0 & 1 & 6 \\ 0 & 0 & -1\end{array}\right]A=−10021036−1. For k∈N\mathrm{k} \in Nk∈N, if X′AkX=33X^{\prime} A^{k} X=33X′AkX=33, then k\mathrm{k}k is equal to _______.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution