Linear Algebra · Rotate, stretch, rotate

SVD as stretch

A 2×2 SVD: the unit circle becomes an ellipse. σ₁ and σ₂ are lengths, not magic.

σ₁ 2.0 · σ₂ 0.7

right angle0.40σ₁2.00σ₂0.70left angle0.20

Ask the studio

SVD as stretch

This chat can see the instrument. Questions here are about this picture.

Exclusive to this lab — pick one, or type your own about the controls.