Lectures related to Linear Equations and Vector Spaces

Explores polynomial operations, properties, and subspaces in vector spaces.

Explores vector spaces, subspaces, bases, and linear combinations in R² and R³, including free and linked families.

Covers vector spaces, subspaces, kernel, image, linear independence, and bases in linear algebra.

Explores equivalence in vector spaces, covering conditions for statements to be considered equivalent and properties of algebraic bases.

Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.