Vector Spaces and Linear Maps
Part of the Universitext book series (UTX)
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We introduce the concept of a vector space by using the plane R2 as a model. R2 is the set of all ordered pairs (a, b) of real numbers. (The fact that we take ordered pairs means, for example, that (1,2) ≠ (2,1).) We define an operation + of addition on R2 by
$$ (a,b) + (c,d) = (a + c,b + d). $$
KeywordsVector Space Equivalence Class Vector Space Versus Real Vector Space Finite Linear Combination
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Springer Science+Business Media New York 1990