Expressing a matrix as a Vandermonde Matrix

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Homework Help Overview

The discussion revolves around expressing a given matrix as a Vandermonde matrix. The original poster is uncertain about the process and seeks guidance on how to achieve this transformation.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the characteristics of the Vandermonde matrix and the specific matrix provided by the original poster. There is an exploration of the relationship between the given matrix and its potential expression as a Vandermonde matrix.

Discussion Status

Some participants have provided insights into the relationship between the original matrix and the Vandermonde matrix, suggesting a potential formulation. However, the original poster still expresses uncertainty about how to formally answer the question posed.

Contextual Notes

The original poster has indicated a lack of understanding of the topic and has provided a specific matrix for analysis. There is a mention of dividing the matrix by 3 and considering its transpose in relation to the Vandermonde structure.

syj
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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.

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

[itex]\alpha_{1} = 1 \quad \alpha_{2} = 2 \quad \alpha_{3} = -1 \quad \alpha_{4} = 3[/itex]
 
thank you
that's what i was thinking.
i'm so relieved i was on the right track.
:)
 

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