Lectures related to Finding Counter-Examples: Proper Values and Eigenvectors in Matrices

Explores the canonical basis in linear algebra, focusing on matrix representation, diagonalizability, and characteristic polynomials.

Introduces linear algebra concepts, focusing on solving systems of linear equations and their representations.

Covers the concept of diagonalization of matrices, focusing on finding eigenvectors and eigenvalues.

Covers the criteria for diagonalizing a matrix and provides illustrative examples.

Explains the diagonalization of linear transformations using eigenvectors and eigenvalues to form a diagonal matrix.

Explores eigenvalues, eigenvectors, diagonalization, and spectral theorem in linear algebra.