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If A=[[0,1],[1,0]],B=[[0,-i],[i,0]] and ...

If `A=[[0,1],[1,0]],B=[[0,-i],[i,0]] and C=[[i,0],[0,-i]]`, show that `A^2=B^2=-C^2=I_2 and AB=-BA,AC=-CA and BC=-CB`.

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