orthogonal projection


Summary

Gram-Schmidt orthogonalization

  • convert a basis into an orthogonal/orthonormal basis

removing the projections of prior vectors from subsequent ones, making them orthogonal

Concept

Orthogonal projection theorem

  • projection/shadow on a subspace

the idea of projecting a vector to another, but over the basis for a subspace

Best approximation theorem

is the closest vector in to

Application