Home
Class 12
MATHS
Find the value of|{:(" "1+i," "i omega,"...

Find the value of`|{:(" "1+i," "i omega," "i omega^(2)),(" "i omega," "i omega^(2)+1," "i omega^(3)),(i omega^(2), i omega^(3), " "i omega^(4)+1):}|`, where `omega` is a non real cube root of unity and `i = sqrt(-1)` .

Promotional Banner

Similar Questions

Explore conceptually related problems

What is the value of |{:(" "1-i," "omega^(2)," "-omega),(" "omega^(2)+i," "omega," "-i),(1-2i-omega^(2),omega^(2)-omega,i-omega):}| , where omega is the cube root of unity ?

What is the value of |(1,omega,2 omega^(2)),(2,2omega^(2),4 omega^(3)),(3,3 omega^(3),6 omega^(4))| , where omega is the cube root of the unity ?

Evaluate: (i) omega (ii) omega^(2) (iii) omega^(3)

Evaluate: | (1, 1, 1), (1, omega^2, omega), (1, omega, omega^2)| (where omega is an imaginary cube root unity).

The value of (i)^i is omega -omega^(2) pi/3 none

What is the value of |(1-i, omega^2,-omega), (omega^2+i,omega,-i), (1-2i-omega^2,omega^2-omega,i-omega)|, where omega is the cube root of unity?

find the value of |[1,1,1],[1,omega^(2),omega],[1,omega,omega^(2)]| where omega is a cube root of unity