Visualizing Fourth Dimension

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Related lectures (42)

Linear Applications: Examples and Generalities MOOC: Linear Algebra (Part 2)

Covers various examples and general concepts related to linear applications in algebra.

Endomorphisms: Matrix Equivalence Log in to Mediaspace to watch this video

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

Linear Applications in Vector Spaces Log in to Mediaspace to watch this video

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

Linear Applications: Definitions and Properties Log in to Mediaspace to watch this video

Explores the definition and properties of linear applications, focusing on injectivity, surjectivity, kernel, and image, with a specific emphasis on matrices.

Linear Transformations: Isomorphism and Dimension Log in to Mediaspace to watch this video

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

Vector Spaces: Linear Applications and Generators Log in to Mediaspace to watch this video

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

Linear Transformations: Dimension Theorems Log in to Mediaspace to watch this video

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

Linear Algebra: Matrices and Vector Spaces Log in to Mediaspace to watch this video

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

Linear Transformations: Kernels and Images Log in to Mediaspace to watch this video

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

Linear Transformations: Matrices and Bases Log in to Mediaspace to watch this video

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

Linear Applications and Span Log in to Mediaspace to watch this video

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

Linear Algebra: Lecture Notes Log in to Mediaspace to watch this video

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

Linear Forms in Vector Spaces Log in to Mediaspace to watch this video

Covers the definition and properties of linear forms in vector spaces, including generating families and direct sums.

Linear Transformations: Kernels and Images Log in to Mediaspace to watch this video

Covers kernels and images of linear transformations between vector spaces.

Linear Mapping and Bases Log in to Mediaspace to watch this video

Explores linear mapping, isomorphism, and change of bases in vector spaces.

Linear Transformations: Matrices and Bases Log in to Mediaspace to watch this video

Covers the method to calculate the images of vectors in a given base.

Linear Independence: Definition and Examples Log in to Mediaspace to watch this video

Explores the concept of linear independence in vector spaces through definitions and illustrative examples.

Vector Spaces: Generating Families and Isomorphisms Log in to Mediaspace to watch this video

Discusses generating families in vector spaces and conditions for linked or free families.