Talk:Projection (linear algebra)
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I have seen the word projection used for this, but never projector, until today. Does someone use the former for linear transformations and the latter for matrices? If so, it should say so. Or do people in some scientific fields use one word while others use the other? Michael Hardy 20:09, 17 Apr 2004 (UTC)
I get the word projector for this from the book Numerical Linear Algebra by Lloyd N. Trefethen and David Bau, ISBN 0-89871-361-7. Here it is used to describe the linear transformation, whether or not its matrix is important, although in defining a projector, they unavoidably do use a matrix definition. I honestly don't know the difference between how the two terms are used, though it would make sense that in the context of numerical linear algebra, where algorithms are more important, the word projector, which more clearly conveys the action "to project" would be the more attractive choice. CyborgTosser