Expressing a matrix as a Vandermonde Matrix

  • Thread starter syj
  • Start date
  • #1
syj
55
0
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.

:(
 

Answers and Replies

  • #3
syj
55
0
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
380
1
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]
 
  • #5
syj
55
0
thank you
that's what i was thinking.
i'm so relieved i was on the right track.
:)
 

Related Threads on Expressing a matrix as a Vandermonde Matrix

  • Last Post
Replies
0
Views
3K
  • Last Post
Replies
1
Views
2K
Replies
3
Views
3K
  • Last Post
Replies
9
Views
962
Replies
3
Views
985
  • Last Post
Replies
14
Views
4K
  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
5
Views
2K
Replies
2
Views
667
Top