Matrices And Determinants

Let \(A = \left( {\matrix{ {1 + i} & 1 \cr { - i} & 0 \cr } } \right)\) where \(i = \sqrt { - 1}\). Then, the number of elements in the set { n \(\in\) {1, 2, ......, 100} : Aⁿ = A } is ____________.