Lectures related to Systems of Differential Equations

Explores matrix similarity, diagonalization, characteristic polynomials, eigenvalues, and eigenvectors in linear algebra.

Discusses the Fourier transform and its application to solving differential equations, focusing on the wave equation and its transformations.

Explores eigenvalues and eigenvectors in matrix transformations, essential for understanding mathematical and real-world systems.

Covers eigenvalues, eigenvectors, and the Fibonacci sequence, exploring their mathematical properties and practical applications.

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

Covers matrix eigenvalues, eigenvectors, and their linear independence.

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