Let A = bmatrix 1 + i & 1 -i & 0 bmatrix where i^ 2 = −1. Then the number of elements in the set n 1, 2, …, 100 : A^ n = A is _____ .

JEE Main 2022 Mathematics question

Let A = where = −1. Then the number of elements in the set {n {1, 2, …, 100} : = A} is .

Answer: 25

= = and = $

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Question ID VK-034892