Talk:Linear Algebra/General = Particular + Homogeneous

Table of factors affecting the size of a general solution.
Hi,

I believe that the left-bottom cell of this table is wrong. It should be "there is no such case" instead of "no solutions". Could someone provide an example of such a case?

For a linear system to have no solutions, it must reduce to a falsehood (like 0 = -7). In order for that to happen, its associated homogeneous system must be linear singular, but in such case the homogeneous system has infinitely many solutions.

Wisapi (discuss • contribs) 00:35, 3 August 2011 (UTC)