Lectures related to Linear Codes: Systematic vs Non-Systematic

Covers the basics of linear block codes and systematic codes over a field F.

Explains linear independence, basis, and matrix rank with examples and exercises.

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

Covers linear algebra basics, including matrices, change of basis, and invertible matrices.

Explores Reed-Solomon codes' construction, properties, decoding examples, linear codes, and applications in error correction on optical disks.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Discusses linear codes' dimension and Hamming weight with examples and theorems.

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