Lectures related to Jordan Normal Form

Covers vector spaces, bases, and decomposition of vectors in R³.

Covers the theory and examples of diagonalizing matrices, focusing on eigenvalues, eigenvectors, and linear independence.

Covers the Jordan Normal Form and its application in linear algebra.

Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.

Covers the Jordan normal form and the decomposition of vector spaces by an endomorphism.

Explains the diagonalization of matrices, criteria, and significance of distinct eigenvalues.

Covers the basics of linear mapping and coordinate systems.

Covers diagonalization of matrices, eigenvectors, linear maps, and least squares method.

Explores irreducible polynomials, finite fields, and the construction of unique finite fields from irreducible polynomials.

Covers matrix eigenvalues, eigenvectors, and their linear independence.