More fun in 2016, Part 18

Algebra Level 5

How many real \(2\times 2\) matrices \(A\) are there such that \(A^{2016}=-I_2\), where \(I_2\) represents the \(2\times 2\) identity matrix.

Enter 666 if you come to the conclusion that infinitely many such matrices \(A\) exist.

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