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For questions in Mathematics Education as a scientific discipline. For more hands-on questions on teaching Mathematics, please use the tag teaching. There is also a Stack Exchange community http://matheducators.stackexchange.com/

46 votes

Why linear algebra is fun!(or ?)

My favorite elementary application of linear algebra is proving that the decomposition used in Calculus of rational functions into partial fractions works. Start with a polynomial $Q(x)=(x-r_1)(x-r_2 …