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Matrices and Determinants question

2025 · 4 Apr · Shift 2 · Q31
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Matrices and Determinants question

2025 · 4 Apr · Shift 2 · Q31

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let the matrix A=[100101010]A=\left[\begin{array}{lll}1 & 0 & 0 \\ 1 & 0 & 1 \\ 0 & 1 & 0\end{array}\right]A=​110​001​010​​ satisfy An=An−2+A2−IA^n=A^{n-2}+A^2-IAn=An−2+A2−I for n⩾3n \geqslant 3n⩾3. Then the sum of all the elements of A50\mathrm{A}^{50}A50 is :
  1. A
    44
  2. B
    39
  3. C
    52
  4. D
    53
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