Day 69 of Diving into AI/ML
After a short break (was down with some illness personal stuff), I’m back at it. Today I brushed up on projections and change of basis in linear algebra.
I started with scalar and vector projections.Then I revisited the idea of a basis.
A basis is just a set of linearly independent vectors that can describe an entire space.
Change of basis is where it gets interesting.
It’s about describing the same data in a different coordinate system.
With orthogonal vectors, life is easy.
With non-orthogonal ones, you’ve got to pull out matrices.
What clicked for me is why change of basis matters in ML. Changing the basis uncovers patterns, reduce noise, or make data line up better for things like PCA or regression lines.
Feels good to be back learning. The math is heavy at times, but it’s also kind of beautiful when you see the connections.
#100DaysOfML #AI #MathForML