In abstract algebra, an alternative algebra is an algebra in which multiplication need not be associative, only alternative. That is, one must have * * for all x and y in the algebra. Every associative algebra is obviously alternative, but so too are some strictly non-associative algebras such as the octonions. (Wikipedia).
What is Abstract Algebra? (Modern Algebra)
Abstract Algebra is very different than the algebra most people study in high school. This math subject focuses on abstract structures with names like groups, rings, fields and modules. These structures have applications in many areas of mathematics, and are being used more and more in t
From playlist Abstract Algebra
This is part of an online course on beginner/intermediate linear algebra, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying linear algebra to applications in multivariate signal processing, statistics, and data science.
From playlist Linear algebra: theory and implementation
Linear algebra: Prove the Sherman-Morrison formula for computing a matrix inverse
This is part of an online course on beginner/intermediate linear algebra, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying linear algebra to applications in multivariate signal processing, statistics, and data science.
From playlist Linear algebra: theory and implementation
9A_3 The Inverse of a Matrix Using the Identity Matrix
Continuation of the use of an identity matrix to calculate the inverse of a matrix
From playlist Linear Algebra
The matrix approach to systems of linear equations | Linear Algebra MATH1141 | N J Wildberger
We summarize the matrix approach to solving systems of linear equations involving augmented matrices and row reduction. We also study the consequences of linearity of themultiplication of a matrix and vector. ************************ Screenshot PDFs for my videos are available at the webs
From playlist Higher Linear Algebra
Determining if a vector is a linear combination of other vectors
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Determining if a vector is a linear combination of other vectors
From playlist Linear Algebra
Intermediate Algebra Lecture C.1: A BRIEF Review of Solving Equations and Factoring
https://www.patreon.com/ProfessorLeonard Intermediate Algebra Lecture C.1: A BRIEF Review of Solving Equations and Factoring
From playlist Intermediate Algebra (Full Length Videos)
Linear Algebra 6.6 Function Approximation; Fourier Series
My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul A. Roberts is supported in part by the grants NSF CAREER 1653602 and NSF DMS 2153803.
From playlist Linear Algebra
Parallel Lines and Angle Pairs
Introduce and prove theorems involving angle pairs formed by parallel lines and transversals. Demonstrate two-column proofs and work out problems with algebraic expressions.
From playlist Geometry
Parallel Lines and Transversals – Find the Angles
How to find the angles of a parallel lines and transversal - alternate interior angles, vertical angles, corresponding angles, same side interior angles. For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand mat
From playlist GED Prep Videos
Combinatorial methods for PIT (and ranks of matrix spaces) - Roy Meshulam
Optimization, Complexity and Invariant Theory Topic: Combinatorial methods for PIT (and ranks of matrix spaces) Speaker: Roy Meshulam Affiliation: Technion Date: June 8. 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Advanced Linear Algebra Full Video Course
Linear algebra is central to almost all areas of mathematics. For instance, #linearalgebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations. Also, functional analysis may be basically viewed as the application of
From playlist Linear Algebra
First examples of cluster structures on coordinate algebras, (Lecture 2) by Maitreyee Kulkarni
PROGRAM :SCHOOL ON CLUSTER ALGEBRAS ORGANIZERS :Ashish Gupta and Ashish K Srivastava DATE :08 December 2018 to 22 December 2018 VENUE :Madhava Lecture Hall, ICTS Bangalore In 2000, S. Fomin and A. Zelevinsky introduced Cluster Algebras as abstractions of a combinatoro-algebra
From playlist School on Cluster Algebras 2018
Alternate basis transformation matrix example | Linear Algebra | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/linear-algebra/alternate-bases/change-of-basis/v/lin-alg-alternate-basis-tranformation-matrix-example Example of finding the transformation matrix for an alternate
From playlist Alternate coordinate systems (bases) | Linear Algebra | Khan Academy
Alternate basis transformation matrix example part 2 | Linear Algebra | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/linear-algebra/alternate-bases/change-of-basis/v/lin-alg-alternate-basis-tranformation-matrix-example-part-2 Showing that the transformation matrix with respect to
From playlist Alternate coordinate systems (bases) | Linear Algebra | Khan Academy
Are the lines parallel? (BECARFUL)
TabletClass Math: https://tcmathacademy.com/ How to determine if two lines are parallel using alternate interior angles. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathacademy.com/ Math Notes:
From playlist GED Prep Videos
Quantum Mechanics -- a Primer for Mathematicians
Juerg Frohlich ETH Zurich; Member, School of Mathematics, IAS December 3, 2012 A general algebraic formalism for the mathematical modeling of physical systems is sketched. This formalism is sufficiently general to encompass classical and quantum-mechanical models. It is then explained in w
From playlist Mathematics
AP Calculus BC 2018 Free Response question 6
The title captures it all. In this video, I narrate my thoughts through the AP Calculus BC 2018 Free Response question 6. The concepts involved in this question are derivatives, rates of change, power series, Maclaurin Series, Taylor Series, ln(1+x) Maclaurin Series, interval of convergenc
From playlist AP Calculus AB/BC Review
Group Definition (expanded) - Abstract Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin
From playlist Abstract Algebra
Frédéric de Portzamparc - Faiblesse structurelle des schémas McEliece avec clefs compactes
Faiblesse structurelle des schémas McEliece avec clefs compactes
From playlist Journées Codage et Cryptographie 2014