Lectures related to Linear Algebra: Vector Spaces and Linear Independence

Explores changing bases in vector spaces using matrices and the significance of preserving structure within vector spaces.

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

Covers linear applications between vector spaces, exploring their properties and uniqueness based on bases.

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

Covers the basics of vector spaces, including addition, scalar multiplication, and zero vectors, with examples and applications.

Covers the definition and examples of vector spaces, including subspaces and linear transformations.