# Homework Help: Vandermonde Matrix - Help!

1. Oct 27, 2007

### obiwan

[SOLVED] Vandermonde Matrix - Help!

Hi everyone, im new to the forum.

I'm bit confused in a particular 3by3 Vandermonde Matrix question and really appreciate if someone can help me with it.

1. The problem statement, all variables and given/known data

The question states 'Show that the 3 by 3 Vandermonde Determinant:
1 1 1
det x y z = (x-y) (y-z) (z-x)
x^2 y^2 z^2

I have not made an attemt to the question as I haven't got a clue.

Your help and time are much appreciated. thanks

PS. Just realized the rows are not aligned under one another but It is a 3by3 Matrix with the first rows 1, 1, 1 second Row x, y, z and the third row x^2, y^2, z^2.

Last edited: Oct 27, 2007
2. Oct 28, 2007

### cristo

Staff Emeritus
Well, how do you take the determinant of a 3x3 matrix?

3. Oct 28, 2007

### obiwan

Thanks Cristo. I've managed to show the determinant using a simple formula I came across on wikipedia. Thanks for your help anyway.