Mathematics · 2025
JEE Main · 4 April 2025, Shift 2 · Q4
Let the matrix A= [1, 0, 0; 1, 0, 1; 0, 1, 0] satisfy A^n=A^n-2+A^2-I for n ≥ 3. Then the sum of all the elements of A^50 is:
Let the matrix $\displaystyle A=\left[\begin{array}{lll}1 & 0 & 0 \\ 1 & 0 & 1 \\ 0 & 1 & 0\end{array}\right]$ satisfy $\displaystyle A^n=A^{n-2}+A^2-I$ for $\displaystyle n \geqslant 3$. Then the sum of all the elements of $\displaystyle \mathrm{A}^{50}$ is :
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 53$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.