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st: RE: solving equation AX=0

From   "FEIVESON, ALAN H. (AL) (JSC-SK) (NASA)" <>
To   "''" <>
Subject   st: RE: solving equation AX=0
Date   Fri, 11 Feb 2005 08:05:05 -0600

Samir - One obvious solution is X = c(1,1,..,1)' where c is any constant.
Other solutions are also in the null space of A'A. You can use Stata
(-matrix symeigen-) to find the eigenvalues and eigenvectors of A'A. Then
any linear combination of eigenvectors correspinding to zero eigenvalues of
A'A will solve Ax = 0.

Al Feiveson

-----Original Message-----
[]On Behalf Of samirkc
Sent: Friday, February 11, 2005 5:49 AM
Subject: st: solving equation AX=0

Dear statalisters,
How can I solve for matrix X in a matrix equations AX=0?, where A = a 
non-symmetric matrix with row sum equals zero and X consists of unknowns 
and 0 is zero matrix..
Best regards

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