Complemented subspace

Related lectures (28)

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Covers the concept of orthogonal complement and projection in vector spaces.

Covers self-similar groups and automorphisms of rooted trees, exploring residually finite groups and congruence subgroups.

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

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

Demonstrates the existence of direct sums of abelian groups and covers propositions and proofs related to their uniqueness.

Explores direct sums in abelian groups, emphasizing existence and uniqueness.

Explores the arithmetic of direct sums in group theory, discussing conditions for equality.

Covers scalar products, orthogonal vectors, norms, and projections in vector spaces, emphasizing orthonormal families of vectors.

Explores direct sums in group theory, focusing on abelian groups and their implications.

Explores abelian groups from a categorical perspective, discussing the coproduct construction.