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Vandermonde Matrix - Help!

  1. Oct 27, 2007 #1
    [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. jcsd
  3. Oct 28, 2007 #2

    cristo

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    Staff Emeritus
    Science Advisor

    Well, how do you take the determinant of a 3x3 matrix?
     
  4. Oct 28, 2007 #3
    Thanks Cristo. I've managed to show the determinant using a simple formula I came across on wikipedia. Thanks for your help anyway.
     
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