Lectures related to Linear Differential Equations: Part 1

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Covers matrix operations, coefficients, combinations, and applications in various scenarios.

Covers the concept of Singular Value Decomposition (SVD) for compressing information in matrices and images.

Explores linear combinations, matrix-vector product, and matrix equation solutions.

Explores linear applications, matrices, injectivity, unique solutions, and matrix operations.

Covers direct methods for solving linear systems in numerical analysis.