Lectures related to Orthogonal Subspace: Vector Space

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

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

Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.

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

Explores subspaces in linear algebra and transformations, including kernels and images of linear transformations.