Glossary math Term Page
Orthogonal Basis
A basis made of mutually orthogonal vectors
Core Idea
An orthogonal basis is a basis whose vectors are mutually orthogonal. Because the directions do not interfere with one another, coordinates, lengths, and projections become easier to compute.
Role In This Blog
In Mathbong, orthogonal bases are presented as the clean computational structure behind projection formulas, residual analysis, and many decomposition methods.