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Topic: Continuous Solutions of Linear Systems
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Maury Barbato

Posts: 791
From: University Federico II of Naples
Registered: 3/15/05
Continuous Solutions of Linear Systems
Posted: Sep 18, 2011 5:47 PM
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Hello,
let C be the set of all m x n real matrices with rank
equal to m. Consider C with the usual euclidean
metric of R^(m*n).
Does there exist a continuous map f:C x R^m -> R^n
such that A*f(A,y) = y for every A in C and y in R^m?

The answer seems to be obviouslt yes, but I couldn't
find a proof. Do you have some idea?

Thank you very very much for your attention.
My Best Regards,
Maury Barbato



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