Lectures related to Visualizing Fourth Dimension

Explains how to calculate the dimension of a kernel of a matrix transpose.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Explores the properties of linear transformations through step-by-step calculations and matrix manipulations.

Explains kernel, image, and linear maps, illustrating concepts with examples.

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

Explores dimension theory of vector spaces, covering bases, linear applications, and ranks.

Covers fundamental linear algebra concepts like vector spaces and eigenvalues.