JEE Main 202228 Jun, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002Let A=(1+i1−i0)A = \left( {\matrix{ {1 + i} & 1 \cr { - i} & 0 \cr } } \right)A=(1+i−i10) where i=−1i = \sqrt { - 1}i=−1. Then, the number of elements in the set { n ∈\in∈ {1, 2, ......, 100} : A^n = A } is ____________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
