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> introduced imaginary numbers as rotations initially How would you do this without developing the exponential first?
by dls2016 5y ago
> introduced imaginary numbers as rotations initially
How would you do this without developing the exponential first?
- zwkrt 5y agoWell any complex number a + bi can be described as a transformation matrix |a -b| |b a| So you could start by just asking what it means to transform the plane
- deleted 5y ago[deleted]
- dls2016 5y agoOk but in a college algebra class it’s very easy to ask “what is the inverse of the squaring operation?” Not so clear a path to the action of a matrix on the plane. I have successfully discussed this in an advanced calculus class.