Let the matrix A=\left[\begin{array}{ccc}1 & 0 & 0 \ 1 & 0 & 1 \ 0 & 1 & 0]\end{array} satisfy A^n=A^{n-2}+A^2-I for n \geq 3. Then the sum of all the elements of A^{50} is: [4 Apr 2025 Shift 2]

JEE Main 4 Apr 2025 Shift 2 Paper

Section: Mathematics

Question : 2 of 75

Marks: +1, -0

Let the matrix ‌‌A=[

]‌‌ satisfy An=An−2+A2−I for n≥3. Then the sum of all the elements of A50 is:

[4 Apr 2025 Shift 2]

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