Vector Spaces and Linear Maps

  • Morton L. Curtis
Part of the Universitext book series (UTX)


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
$$ (a,b) + (c,d) = (a + c,b + d). $$


Vector 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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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Morton L. Curtis
    • 1
  1. 1.Department of MathematicsRice UniversityHoustonUSA

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