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How to introduce basis vectors

matqkks

Member
Jun 26, 2012
74
What is attractive way to introduce basis vectors? I am looking for a hook that students will find motivating. It needs to have an impact. I have normally introduced it by just stating independent vectors that span the space.
 

Evgeny.Makarov

Well-known member
MHB Math Scholar
Jan 30, 2012
2,502
I've never taught linear algebra, but selecting a basis is essentially selecting a coordinate system, which allows identifying each point (vector) with a unique sequence of numbers. Coordinate systems are obviously crucial for solving many practical problems.