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Gaussian Elimination wont work in my example


I have tried to solve a matrix

{{-4, -2},{-2, -1}]. e =0 where e is a 1x2 matrix say [{a, b}] and
Tranpose[Conjugate[e]].e =1. I use Guassian Elimanation "LinearSolve"
to solve this equation, but it all the time gives out {0,0}, the answer
is not what I want in my case. Please help me to solve this puzzle.
Many thanks.

Best regards,
LL Cheng
(City University of Hong Kong, EE Dept)

email : eeacheng at cityu.edu.hk




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