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Mathematics · 2023

JEE Main · 31 January 2023, Shift 1 · Q64

Let A= (1, 0, 0; 0, 4, -1; 0, 12, -3). Then the sum of the diagonal elements of the matrix (A+I)^11 is equal to:

Let $\displaystyle A=\left(\begin{array}{ccc}1 & 0 & 0 \\ 0 & 4 & -1 \\ 0 & 12 & -3\end{array}\right)$. Then the sum of the diagonal elements of the matrix $\displaystyle (A+I)^{11}$ is equal to :
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.