Kernel (category theory)

Related lectures (31)

Covers isomorphism, dimension, bases, and rank in linear transformations between vector spaces.

Covers the determination of matrices associated with linear transformations and explores the kernel and image concepts.

Explores linear applications, matrices, ranks, kernels, and dimensions in linear algebra.

Explores the Hopf formula in cohomology groups, emphasizing the 4-term exact sequence and its implications.

Covers kernels and images of linear transformations between vector spaces.

Covers the first isomorphism theorem in group theory and its applications.

Delves into the second isomorphism theorem in group theory, emphasizing subgroup relationships and quotient groups.

Revisits bases of the image and kernel in linear algebra, focusing on linear transformations between finite-dimensional vector spaces.

Introduces vector spaces, linear applications, generators, and dimensionality in mathematics.

Discusses linear applications between vector spaces and properties of endomorphisms and automorphisms.

Covers the basics of linear algebra, including minimizing costs and optimal packing strategies.

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