Lectures related to Matrix Reduction: Part 1

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

Showcases a non-diagonalizable matrix example and explores eigenvalues and eigenvectors.

Explores the properties and examples of diagonalizable matrices, emphasizing the relationship between eigenvectors and eigenvalues.

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

Explores the analysis of free states and modes in multivariable control systems, emphasizing stability properties and practical examples.

Introduces eigenvalues, eigenvectors, and similar matrices, emphasizing diagonalization and geometric interpretations.