|Sep24-08, 11:02 AM||#1|
matrix transform vs linear transform
Every matrix transformation from R-n to R-m is a linear transformation. The converse of this is not true: every linear transformation is not a matrix transformation.
According to David Lay's text, Linear Algebra, the term matrix transformation describes how a mapping is implemented, while the term linear transformation focus on a property of the mapping. His text is replete with examples of matrix transforms which are linear tranforms, but silent on examples of linear transforms that are not matrix transforms.
Where can I find a counterexample that illustrates a linear transformation which is not a matrix tranformation?
Also, as I contemplate future posts, is there a link that explains how to format my questions, equations, etc in LyX or something similar? Thanks.
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution
|Sep24-08, 12:22 PM||#2|
If Wikipedia is to be believed, here is something you can use:
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