Matrices and Determinants

Section: Mathematics

Question : 31 of 56

Marks: +1, -0

Let z=

−1+√3i

,where i=√−1 and r,s∊{1,2,3}.Let P=[

(−z)r	z2s
z2s	zr

] and I be the identitymatrix of order 2. Then the total number of ordered pairs (r, s) for which P2=−I is

[JEE Adv 2016 P1]

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(−ω)r	ω2s
ω2s	ωr

ω2r+ω4s	ωr+2s((−1)r+1)
ωr+2s((−1)r+1)	ω4s+ω2r