Re: imaginary cube root of one....what is it?

On 2006-04-12 15:11:34 -0300, "Wonkyungie" <wonkyungoglobal@xxxxxxxxx> said:

given a matrix:



1 w w^2 w^3
w w^2 w^3 1
w^2 w^3 1 w
w^3 1 w w^2


show that the deterinant is + - 3i(3^1/2)
where w^3=1

If w^3=1 then why do you have both w^3 and 1 as entries in the matrix?

Matrix is a 4x4 circulant so diagonalize it with a unitary transform
(hint: 4x4 Fourier matrix) and multiply the diagonal entries.

The use of w like this such smells of Fourier related homework!
Please make sure the instructor give credit where credit is due.





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