यदि `omega, omega^(2)` इकाई के काल्पनिक घनमूल हो तो सिद्ध कीजिए:
`1+omega^(n)+omega^(2n)=0`, जब `n=2, 4`

(1 - omega + omega^(2)) ( 1 - omega^(2) + omega^(4)) ( 1- omega^(4) + omega^(8)) to 2n factors =

If omega be an imaginary cube root of unity, show that 1+omega^n+omega^(2n)=0 , for n=2,4 .

If 1, omega, omega^(2) are the cube roots of unity, then [[1, omega^(n),omega^(2n)],[omega^(n),omega^(2n),1],[omega^(2n), 1, omega^(n)]]

If 1, omega, omega^(2) are the cube roots of unity, then the value of |(1,omega^(n),omega^(2n)),(omega^(n),omega^(2n),1),(omega^(2n),1,omega^(n))| is equal to -

If omega be an imaginary cube root of unity, show that 1+omega^n+omega^(2n)=0 , for n=2,4

If 1, omega, omega^(2) are the cube roots of unity then Delta=|(1,omega^(n),omega^(2n)),(omega^(n),omega^(2n),1),(omega^(2n),1,omega^(n))|=

If n ne 3k and 1 , omega , omega ^(2) are the cube roots of units , then Delta =Delta=|(1,omega^(n),omega^(2n)),(omega^(2n),1,omega^(n)),(omega^(n),omega^(2n),1)| has the value

If n ne 3k and 1 , omega , omega ^(2) are the cube roots of units , then Delta =Delta=|(1,omega^(n),omega^(2n)),(omega^(2n),1,omega^(n)),(omega^(n),omega^(2n),1)| has the value

Suppose omega ne 1 is cube root of unity. If 1(2-omega) (2-omega^(2)) + 2(3 - omega) (3 - omega^(2)) + ….+ (n-1)(n-omega) (n-omega^(2)) = 33 , then n is equal to ____________