Symmetric matrices - eigenvalues & eigenvectors
Free ebook http://tinyurl.com/EngMathYT A basic introduction to symmetric matrices and their properties, including eigenvalues and eigenvectors. Several examples are presented to illustrate the ideas. Symmetric matrices enjoy interesting applications to quadratic forms.
From playlist Engineering Mathematics
Diagonalizing a symmetric matrix. Orthogonal diagonalization. Finding D and P such that A = PDPT. Finding the spectral decomposition of a matrix. Featuring the Spectral Theorem Check out my Symmetric Matrices playlist: https://www.youtube.com/watch?v=MyziVYheXf8&list=PLJb1qAQIrmmD8boOz9a8
From playlist Symmetric Matrices
What is a Tensor? Lesson 11: The metric tensor
What is a Tensor 11: The Metric Tensor
From playlist What is a Tensor?
Tensors as a Sum of Symmetric and Antisymmetric Tensors
In the last tensor video, I mentioned second rank tensors can be expressed as a sum of a symmetric tensor and an antisymmetric tensor. Today we prove that.
From playlist New To Tensors? Start Here
Symmetric Groups (Abstract Algebra)
Symmetric groups are some of the most essential types of finite groups. A symmetric group is the group of permutations on a set. The group of permutations on a set of n-elements is denoted S_n. Symmetric groups capture the history of abstract algebra, provide a wide range of examples in
From playlist Abstract Algebra
Calculus 3: Tensors (1 of 28) What is a Tensor?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a tensor. A tensor is a mathematical representation of a scalar (tensor of rank 0), a vector (tensor of rank 1), a dyad (tensor of rank 2), a triad (tensor or rank 3). Next video in t
From playlist CALCULUS 3 CH 10 TENSORS
What is General Relativity? Lesson 68: The Einstein Tensor
What is General Relativity? Lesson 68: The Einstein Tensor The Einstein tensor defined! Using the Ricci tensor and the curvature scalar we can calculate the curvature scalar of a slice of a manifold using the Einstein tensor. Please consider supporting this channel via Patreon: https:/
From playlist What is General Relativity?
Tensors Explained Intuitively: Covariant, Contravariant, Rank
Tensors of rank 1, 2, and 3 visualized with covariant and contravariant components. My Patreon page is at https://www.patreon.com/EugeneK
From playlist Physics
Nonlinear algebra, Lecture 8: "Tensors", by Bernd Sturmfels and Mateusz Michalek
This is the eight lecture in the IMPRS Ringvorlesung, the advanced graduate course at the Max Planck Institute for Mathematics in the Sciences.
From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra
What is a Tensor Lesson 27: Formal development of p-forms and p-vectors Part I
What is a Tensor? Lesson 27: Formal development of p-forms and p-vectors (Part I) This is the first of a short series where we dig into the more formal presentation of p-forms and p-vectors. I am doing these to be complete and give those who are reading more technical books on the subject
From playlist What is a Tensor?
Anna Seigal: "From Linear Algebra to Multi-Linear Algebra"
Watch part 2/2 here: https://youtu.be/f5MiPayz_e8 Tensor Methods and Emerging Applications to the Physical and Data Sciences Tutorials 2021 "From Linear Algebra to Multi-Linear Algebra" Anna Seigal - University of Oxford Abstract: Linear algebra is the foundation to methods for finding
From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021
Higher Algebra 9: Symmetric monoidal infinity categories
In this video, we introduce the notion of a symmetric monoidal infinity categories and give some examples. Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture Homepage with further information: https://www.uni-mu
From playlist Higher Algebra
Lecture 29. Symmetric and exterior powers
From playlist Abstract Algebra 2
Tensor Calculus 12c: The Self-Adjoint Property in Tensor Notation
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
What is General Relativity? Lesson 47: The double dual of the Riemann tensor
What is General Relativity? Lesson 47: The double dual of the Riemann Tensor The double dual of the Riemann tensor is an obscure object but it gives us a chance to quickly review 2-forms. Please consider supporting this channel via Patreon: https://www.patreon.com/XYLYXYLYX and discuss
From playlist What is General Relativity?
Shmuel Friedland: "Complexity of Computation of Tensor Rank and Best Rank One Approximation"
Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop IV: Efficient Tensor Representations for Learning and Computational Complexity "Complexity of Computation of Tensor Rank and Best Rank One Approximation" Shmuel Friedland - University of Illinois at C
From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021
Tensor Calculus 4d: Quadratic Form Minimization
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
The Maths of General Relativity (4/8) - Metric tensor
In this series, we build together the theory of general relativity. This fourth video focuses on the notion of metric tensor, its relations to the Christoffel symbols, and physical distances. For more videos, subscribe to the YouTube channel : https://www.youtube.com/ScienceClicEN And if
From playlist The Maths of General Relativity