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If omega=1 is the complex cube root of u...

If `omega=1` is the complex cube root of unity and matrix `H=|{:(,omega,0),(,0,omega):}|`, then `H^(70)` is equal to:

A

`-H`

B

`H^(2)`

C

H

D

O

Text Solution

Verified by Experts

The correct Answer is:
C
We have, `H=omega[{:(1,0),(0,1):}]=omegaI_(2)`
`therefore H^(70)=omega^(70)(I_(2))^(70)=omegaI_(2)=H`.
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