4 ms·
Wow, thanks! Never heard the geometric explanation and it, as usual, is way more intuitive.
by hoseja 5y ago
Wow, thanks! Never heard the geometric explanation and it, as usual, is way more intuitive.
- rocqua 5y agoConsider this formulation of complex numbers: Unit is 2x2 identity matrix. imaginary unit is the matrix -1 0 0 1 It is easy to check that imaginary unit squared is -1. And addition and multiplication is just matrices. It then quickly becomes apparent that all possible matrices you generate _are_ the rotation and scaling matrices. Instead of drawing a connection between rotation and complex numbers, they all of a sudden are the same thing.