Question

If ω is non real cube root of unity, then `abs ((2, 2omega, -omega^2),(1,1,1),(1,-1,0))` is equal to ____________.

Options

• 0

• -1

• None of these

• 1

Answer 1

If ω is non real cube root of unity, then `abs ((2, 2omega, -omega^2),(1,1,1),(1,-1,0))` is equal to 0.

Explanation:

Expanding along R₃ 

`= 1 (2omega + omega^2) + 1 (2 + omega^2)`

`= (2 + 2 omega + 2 omega^2 = 2 (1 + omega + omega^2)`

`= 2(0)`

`= 0`