Suppose you have an equation of the form $Hx=Ky$, where $x,y$ are vectors of length $n,m$ respectively ($m>n$) and $H,K$ are matrices of orders $n \times n,n \times m$ respectively. Is there some kind of name for it?
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asked Jun 6, 2012 at 16:05
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$\begingroup$ If you write this as $(H|K)(x|-y)^T=0$, isn't this just the kernel of a family of linear equations? $\endgroup$– Anthony QuasJun 6, 2012 at 16:34
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$\begingroup$ Well yes, but I was hoping for something more revealing. :) $\endgroup$– Felix GoldbergJun 6, 2012 at 16:38
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4$\begingroup$ A linear equation. $\endgroup$– Pietro MajerJun 6, 2012 at 17:06
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$\begingroup$ A system of linear equations $\endgroup$– David Roberts ♦Jun 7, 2012 at 0:45
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