Let $A=\left[\begin{array}{ccc}1 & 0 & 0 \ 0 & 4 & -1 \ 0 & 12 & -3\end{array}\right]$. Then the sum of the diagonal elements of the matrix $(A+I)^{11}$ is equal to: [JEE Main 2023, 31 Jan (Shift 1)]

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Let \(A=\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & 4 & -1 \\ 0 & 12 & -3\end{array}\right]\). Then…

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Let \(A=\left[\begin{array}{ccc}1 &amp; 0 &amp; 0 \\ 0 &amp; 4 &amp; -1 \\ 0 &amp; 12 &amp; -3\end{array}\right]\). Then…

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Let \(A=\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & 4 & -1 \\ 0 & 12 & -3\end{array}\right]\). Then…