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JEE Main 2021 (Online) 25th July Morning Shift

INTEGER+4 / -12021
Let \(S = \left\{ {n \in N\left| {{{\left( {\matrix{ 0 & i \cr 1 & 0 \cr } } \right)}^n}\left( {\matrix{ a & b \cr c & d \cr } } \right) = \left( {\matrix{ a & b \cr c & d \cr } } \right)\forall a,b,c,d \in R} \right.} \right\}\), where i = \(\sqrt { - 1}\). Then the number of 2-digit numbers in the set S is _____________.

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