Lectures related to Linear Algebra: Vector Spaces and Applications

Covers vector spaces, subspaces, kernel, image, linear independence, and bases in linear algebra.

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

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

Covers the properties and criteria of linear dependence and independence in a vector space.

Explores the demonstration of a fundamental linear algebra theorem and the concept of linear independence and bases.

Explores linear independence, bases, and dimension in vector spaces with examples involving matrices and polynomials.