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let z= (-1+sqrt(3i))/2, where i=sqrt(-1)...

let `z= (-1+sqrt(3i))/2, where i=sqrt(-1) and r,s epsilon P1,2,3}. Let P= [((-z)^r, z^(2s)),(z^(2s), z^r)]` and I be the idenfity matrix or order 2. Then the total number of ordered pairs (r,s) or which `P^2=-I` is

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The correct Answer is:
the required ordered pair (r,s) is (1,1).
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