Lectures related to The space of bandlimited functions

Covers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.

Introduces orthogonal and orthonormal families in vector spaces with scalar products.

Explores polynomial operations, properties, and subspaces in vector spaces.

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

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

Covers the concept of dimension in a vector space and bases.

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

Covers the basics of linear algebra, emphasizing the identification of subspaces through key properties.

Covers strategies for matrix operations and the concept of vector spaces.