Advanced Linear Algebra: Matrices Conjugation and Equivalence

Related lectures (29)

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

Introduces linear applications, span, kernels, and images in vector spaces with illustrative examples and theorems.

Explores linear maps and linear independence under surjective linear maps.

Discusses the misconception that an injective linear map must have M strictly smaller than N.

Introduces vector spaces, subspaces, linear maps, and evaluation maps, with examples and exercises for better comprehension.

Explores the properties and applications of the dot product in vector spaces.

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

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

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