For two unimodular complex numbers z_1 and z_2,[\table \ov z_1 ,-z_2;\ov z_2,z_1]^{-1} [\table z_1 ,z_2; -\ov z_2, \ov z_1]^{-1} is equal to

[\table z_1 ,z_2; \ov z_2, \ov z_1]

Manipal Entrance Test 2013 Math Paper

Question : 29 of 80

Marks: +1, -0

For two unimodular complex numbers z1 and z2,[

z1	−z2
z2	z1

]−1 [

z1	z2
−z2	z1

]−1 is equal to

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z1z1+z2z2	0
0	z2z2+z1z1

\|z1\|2+\|z2\|2	0
0	\|z1\|2+\|z2\|2