Re: Writing a matrix as a multiplication of two vectors


Roger Stafford wrote:
In article <ef2f0e4.-1@xxxxxxxxxxxxxxxx>, "Sertac KOKSAL"
<sertackoksal@xxxxxxxxx> wrote:

Hello evetbody,

Does anybody know a method that enables to write a matrix(complex) as
the multiplication of two vectors?

Thanks in advance,

Regards

Sertac KOKSAL
--------------------
It is easy to multiply two vectors to get a matrix. If v1 is an n x 1
vector and v2 an m x 1 vector, then v1*v2' is an n x m matrix. However,
this matrix will be highly singular with a rank of only 1. You can't take
an arbitrary matrix and express it this way. Can you please be more
specific about what you are trying to accomplish?

If A, an m X n matrix has rank r, it can be represented by a weighted
sum of r vector multiplications. This is called singular value
decomposition (SVD). The weights and vectors are called the singular
values and vectors of A and can be obtained from the MATLAB
functions SVD and SVDS.

Hope this helps.

Greg

the SV

.

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