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Re:A First Course in Linear Algebra by kd0amg on Friday August 10, 2012 @01:05PM (#4367083)
I think it is a little bit difficult to come up with examples, other than R^n or C^n, which seem motivated and interesting to the beginner

My introductory linear algebra class also used polynomials over R, which led to examples like using projection to construct a polynomial approximation of a non-polynomial function.

Re:A First Course in Linear Algebra by mej10 on Friday August 10, 2012 @01:24PM (#4367187)
Yes! This and some other basic optimization problems were such a great taste of what is possible with linear algebra.
Re:A First Course in Linear Algebra by bluetech on Friday August 10, 2012 @05:48PM (#4368436)
For people interested in cryptography, mentioning Shamir's secret-sharing scheme might also be cool.
Re:A First Course in Linear Algebra by impendia on Friday August 10, 2012 @02:30PM (#4367502)
I agree, this is an excellent example.