Lectures related to General Linear Recurrence Relations

Explores bases, dimensions, and matrix ranks in vector spaces with practical examples and proofs.

Covers linear dependence, independence, and applications in vector spaces.

Explores the concept of linear independence in vector spaces through definitions and illustrative examples.

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

Covers the definition and properties of linear forms in vector spaces, including generating families and direct sums.

Explores the dynamics of singular Riemann surface foliations, focusing on vector fields, linear parts, and coordinate changes.

Covers tensor products, symmetric power, and exterior power of vector spaces, including properties and applications.

Explores the Kernel-Image Theorem, bijectivity conditions, linear forms, and surjectivity in linear algebra.