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Gil Strang taught 18.06, the more calculation-focused and elementary version of linear algebra, when I was at MIT. The approach mentioned by the OP was what was
by losvedir 8y ago
Gil Strang taught 18.06, the more calculation-focused and elementary version of linear algebra, when I was at MIT. The approach mentioned by the OP was what was taken in the more theoretical version, 18.701. I think that class has notes and lectures on OCW.