Let x = [1; 1; 1] and A = bmatrix -1 & 2 & 3 0 & 1 & 6 0 & 0 & -1 bmatrix . For k N, if XᵀA^ k X = 33, then k is equal to _____.

JEE Main 2022 Mathematics question

Let x = [1; 1; 1] and A = . For k N, if , then k is equal to .

Answer: 10

= , so for even k = 2m, = $ 1 & 0 & 3k 0 & 1 & 0 0 & 0 & 1

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Question ID VK-035068