JEE Main 202125 Jul, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002Let S={n∈N∣(0i10)n(abcd)=(abcd)∀a,b,c,d∈R}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\}S={n∈N(01i0)n(acbd)=(acbd)∀a,b,c,d∈R}, where i = −1\sqrt { - 1}−1. Then the number of 2-digit numbers in the set S is _____________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
