Why does complex number multiplication cause rotation?

Описание: Why does complex number multiplication cause rotation?
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Complex multiplication of a and b has the effect of rotating b through angle that depends on a.

In this video, we will investigate an intuitive explanation for this, based on the similarities between multiplying complex numbers and matrix multiplication of vectors.

Suitable for UK A Level, IB Diploma Programme, US grades 11+. Typically taught to students aged 16 and above.

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This video was created using generativepy, a free and open source Python library for creating mathematical art and animations, available from https://github.com/martinmcbride/gene...