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I thought about 'system matrix', but this is a term only used in stateful/control system equations.

or.. projection matrix?

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2 
 en.wikipedia.org/wiki/Coefficient_matrix – Brendan McKay Feb 21 2012 at 14:06
Some people do not seem to like this question, and I just lost a longer answer I typed, so just a comment: in a general situation the general name coefficient matrix is common. I would definitely not call it projection matrix, as this could suggest it is a matrix representing a projection (a special type of [linear] map); except of course this is what is happening. In various context some matrices have special names, say, for something general 'tranformation matrix' representing linear maps, or more specifc a 'parity-check matrix' in coding theory. – quid Feb 21 2012 at 14:10
Actually "system matrix" is also used in some inverse problems; otherwise, it may also be the discretization of an operator coming from some integral equation. – suVRit Feb 21 2012 at 15:38

closed as off topic by Mark Sapir, Matthew Daws, Brendan McKay, Emil Jeřábek, Andrew Stacey Feb 21 2012 at 14:29

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