You know what’s surprising?

### Rotations are linear transformations.

I guess lo conocí but no entendí. Like, I could write you the matrix formula for a rotation by **θ** degrees:

But **why** is that linear? **Lines are straight and circles bend.** When you rotate something you are moving it along a circle. So how can that be linear?

I guess 2-D linear mappings ℝ²→ℝ² surprise our natural 1-D way of thinking about “straightness”.

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Tags: facts, image, intuition, linear algebra, linear mapping, math, mathematics, maths, matrix, projection, rotation, tensor, unintuitive, why

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