If {\A}=(\table i , 0 ; 0 , -i), {\B}=(\table 0 , -1 ; 1 , 0), {\C}=(\table 0 , i ; i , 0) where i=\sqrt{-1}, then which one of the following is correct?

{\A}^2= {\B}^2= {\C}^2= {\I}, where {\I} is the identity matrix

UPSC NDA II 2013 Mathematics Paper

Question : 112 of 120

Marks: +1, -0

If A=(

i	0
0	−i

),B=(

0	−1
1	0

),C=(

0	i
i	0

) where i=√−1, then which one of the following is correct?

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