# vector equation

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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If you write this as $(H|K)(x|-y)^T=0$, isn't this just the kernel of a family of linear equations? – Anthony Quas Jun 6 '12 at 16:34
Well yes, but I was hoping for something more revealing. :) – Felix Goldberg Jun 6 '12 at 16:38
A linear equation. – Pietro Majer Jun 6 '12 at 17:06
A system of linear equations – David Roberts Jun 7 '12 at 0:45