Linear Applications: Definitions and Examples

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Related lectures (35)

Spherical Tensors and Wigner-Eckart Theorem

Covers the transformation of vectors and tensors in quantum physics.

Linear Algebra: Subspaces and Transformations

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

Linear Algebra: Change of Basis Matrices

Explores change of basis matrices in linear algebra, emphasizing the importance of understanding matrix transformations between different bases.

Galilean Transformations: Spacetime and Measurements

Explores Galilean transformations in spacetime, focusing on measurements and coordinate transformations.

Elements of Lie Groups and Algebras

Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.

Properties of Fourier Transform

Explores the properties and applications of the Fourier transform in signal processing and mathematics.

Isometries in Euclidean Spaces

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Vector Transformation and Tense

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

Eigenvalues and Eigenvectors: General Definition and Examples

Explores eigenvalues, eigenvectors, and diagonalizable transformations through various examples.

Critical Behavior in General Relativity

Explores critical behavior in general relativity, including scaling factor and coupling constant flow.

Linear Applications and Matrices MOOC: Linear Algebra (Part 2)

Delves into the bijection between linear applications and matrices, exploring linearity, injectivity, surjectivity, and the consequences of this relationship.

Orthogonal Matrices and Eigenvalues

Explores orthogonal matrices, eigenvalues, and orientation-preserving transformations in linear algebra.

Decomposition LLT: Example MOOC: Numerical Analysis for Engineers

Explains the decomposition LL² with an example and detailed calculations.

Linear Recurrences and Applications

Explores linear recurrences, applications between sets, and the significance of functions and operators in mathematics and physics.

Linear Applications: Vectorial Structure

Explores the vectorial structure of linear applications, including addition, scalar multiplication, and matrix representation.

Linear Transformations in 3D MOOC: Linear Algebra (Part 2)

Explores linear transformations in 3D space using matrices and their applications.

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

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

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

Covers linear applications, matrices, transformations, and the principle of superposition.

Isometries: Definition and Examples Log in to Mediaspace to watch this video

Explores isometries, distinguishing between rotations and reflections, and the preservation of orientation in geometric transformations.

Lorentz Transformations and Covariant Tensors Log in to Mediaspace to watch this video

Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.

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