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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/
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Why linear algebra is fun!(or ?)
One nice application of linear algebra (mainly dimension theory) is the impossibility of the duplication of the cube (problem that dates back to the Greeks and was solved only in 1837 by Wantzel).