Endomorphisms: Matrix Equivalence

Related lectures (29)

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Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.

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

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

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

Explores visualizing the Fourth Dimension and introduces vector spaces, linear applications, and transformations.

Explains how to calculate the dimension of a kernel of a matrix transpose.

Covers kernels and images of linear transformations between vector spaces.

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

Covers kernels and images of linear transformations between vector spaces, illustrating properties and providing proofs.

Covers dimension theorems for linear transformations, bijectivity, isomorphism, dual spaces, and canonical applications.