Matrix Power Sum of Elements (Jee Mains)

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Matrix Power Sum of Elements

Let the matrix $A = \left[ {\begin{array}{*{20}{c}} 1&0&0\\[0.9em] 1&0&1\\[0.9em] 0&1&0 \end{array}} \right]$ satisfy Aⁿ = A^n–2 + A²– I for n ≥ 3. Then the sum of all the elements of A⁵⁰ is :-

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