A structured walkthrough of linear algebra concepts applied to real polynomials of degree n. Covers proof that polynomials form a vector space by verifying all axioms, explains linear independence, span, and basis with the monomial basis as a concrete example, demonstrates how to check if an arbitrary set of polynomials forms a
Table of contents
Vector spaceLinear independence, span and basisChecking if an arbitrary set of polynomials is a basisInner productOrthogonalitySort: