Lectures related to Eigenvalues and Eigenvectors: Real Solutions

Covers the diagonalization of linear transformations in R^3, exploring properties and examples.

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

Covers eigenvalues, eigenvectors, and diagonalization of matrices.

Covers the process of diagonalizing matrices, focusing on symmetric matrices and the spectral theorem.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Covers linear independence, bases, and coordinate systems with examples and theorems.

Covers the method of diagonalization for determining if a non-square matrix A is diagonalizable.