Lectures related to Dimension Theory: Vector Spaces and Bases

Explores endomorphisms, matrix equivalence, and the adjoint map as a group homomorphism.

Explores the relationship between matrices under different bases in linear algebra.

Explores linear operators, boundedness, and vector spaces with a focus on verifying bounded aspects.

Covers fundamental linear algebra concepts like vector spaces and eigenvalues.

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

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

Explores the properties and applications of orthogonal matrices in linear algebra, focusing on orthogonality and projections.

Explores linear algebra concepts, focusing on applications, bases, and matrices.