# Expressing a matrix as a Vandermonde Matrix

1. Jul 30, 2011

### syj

I would like to know how to take a matrix and express it as a vandermonde matrix.

If I could be referred to a web page that explains how this can be done, that'd be great.

I have NO idea what so ever how this is to be done.

:(

2. Jul 30, 2011

### Clever-Name

3. Jul 30, 2011

### syj

ok, here is one matrix that I have:
[3 3 3 3]
[3 6 -3 9]
[3 12 3 27]
[3 24 -3 8]

i have noticed that if I divide this matrix by 3, its transpose is a vandermonde matrix.

i am not sure how to answer the question given
the question states : express in terms of a vandermonde matrix

4. Jul 30, 2011

### Clever-Name

Ok well if you let that matrix = A then the vandermonde matrix V is $\frac{1}{3}A^{T}$ or rather $A = 3V^{T}$ where the indicies of the vandermonde matrix are:

$\alpha_{1} = 1 \quad \alpha_{2} = 2 \quad \alpha_{3} = -1 \quad \alpha_{4} = 3$

5. Jul 31, 2011

### syj

thank you
that's what i was thinking.
i'm so relieved i was on the right track.
:)