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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


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



