Lectures related to Linear Combinations and Span

Covers the method to calculate the images of vectors in a given base.

Covers the definition of vector spaces, subspaces, and linear combinations of vectors.

Covers the determination of matrices associated with linear transformations and explores the kernel and image concepts.

Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.

Explores linear mapping, isomorphism, and change of bases in vector spaces.

Introduces orthogonal families, orthonormal bases, and projections in linear algebra.