In algebraic graph theory, the adjacency algebra of a graph G is the algebra of polynomials in the adjacency matrix A(G) of the graph. It is an example of a matrix algebra and is the set of the linear combinations of powers of A. Some other similar mathematical objects are also called "adjacency algebra". (Wikipedia).

How do we represent graphs using adjacency matrices? That is the subject of today's graph theory lesson! We will take a graph and use an adjacency matrix to represent it! It is a most soulless, but at times useful, graph representation. An adjacency matrix has a row and a column for each

From playlist Graph Theory

We show the connection between the method of adjoints in optimal control to the implicit function theorem ansatz. We relate the costate or adjoint state variable to Lagrange multipliers.

Dihedral group example

In this veideo we continue our look in to the dihedral groups, specifically, the dihedral group with six elements. We note that two of the permutation in the group are special in that they commute with all the other elements in the group. In the next video I'll show you that these two el

From playlist Abstract algebra

Algebra Absolute Value Inequalities

Algebra Absolute Value Inequalities

From playlist Algebra

Section 3b Adjacency Matrix and Incidence Matrix

From playlist Graph Theory

Abstract Algebra | Injective Functions

We give the definition of an injective function, an outline of proving that a given function is injective, and a few examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Abstract Algebra

In this video, I define the notion of adjugate matrix and use it to calculate A-1 using determinants. This is again beautiful in theory, but inefficient in examples. Adjugate matrix example: https://youtu.be/OFykHi0idnQ Check out my Determinants Playlist: https://www.youtube.com/playlist

From playlist Determinants

Algebraic properties of the adjoint. Null space and range of the adjoint. The matrix of T* is the conjugate transpose of the matrix of T.

From playlist Linear Algebra Done Right

Right Triangle Trigonometry (Learn Algebra 2)

Learn right triangle trigonometry in this video by Mario's Math Tutoring. We discuss the sine(sin), cosine(cos), tangent(tan), cosecant(csc), secant(sec), and cotangent(cot) functions. Further we go through examples to find the missing side in a right triangle. We also discuss the soh cah

From playlist Learn Algebra 2

Let’s Solve For The Angle Using TANGENT….Step-by-Step….

TabletClass Math: https://tcmathacademy.com/ Math help with solving for an angle using the tangent trigonometric ratio. 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: Pre-

From playlist Pre-Calculus / Trigonometry

How do you find the angle? Let’s see…

How to find the angle using right angle trigonometry. For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand math instruction, with fully explained practice problems and printable worksheets, review notes and qu

From playlist GED Prep Videos

Extremal Combinatorics with Po-Shen Loh - 04/20 Mon

Carnegie Mellon University is protecting the community from the COVID-19 pandemic by running courses online for the Spring 2020 semester. This is the video stream for Po-Shen Loh’s PhD-level course 21-738 Extremal Combinatorics. Professor Loh will not be able to respond to questions or com

From playlist CMU PhD-Level Course 21-738 Extremal Combinatorics

Dot and cross product comparison/intuition | Vectors and spaces | 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/vectors-and-spaces/dot-cross-products/v/dot-and-cross-product-comparison-intuition Dot and Cross Product Comparison/Intuition Watch the next lesson

From playlist Vectors and spaces | Linear Algebra | Khan Academy

Trigonometry: How TALL is the BUILDING? Let’s solve step-by-step

TabletClass Math: https://tcmathacademy.com/ Math help with solving a right triangle trigonometry problem using sin, cos, tan. 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 No

From playlist GED Prep Videos

Learn about what adjacent angles are and what they are not in this free math video tutorial by Mario's Math Tutoring. See some examples so that you can recognize correctly adjacent angles. 0:42 What are Adjacent Angles 1:12 Example 1 1:15 Example 2 1:36 Example 3 1:50 Example 4 Related

From playlist Geometry

Semisimple \$\mathbb{Q}\$-algebras in algebraic combinatorics by Allen Herman

PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund

From playlist Group Algebras, Representations And Computation

Trigonometry Calculating Sides | Revision for maths GCSE and iGCSE

Explanation 00:43 Easy 07:51 Medium 20:50 Hard 29:17 You can try all the questions at the beginning of the video and then watch the explanation to check if you have the correct answer. Try a few at each level and you can jump ahead or go back to other questions. The first question of eac

From playlist GCSE Maths Revision | Geometry and Measures

Trigonometry Introduction

In this video lesson we discuss how to find the trigonometric ratios sine, cosine and tangent as well as how to use them to solve for the missing side and angle in a right triangle. We also discuss how to solve triangles completely as well as the angle of elevation and angle of depression

From playlist Trigonometry

Abstract Algebra | Surjective Functions

We give the definition of a surjective function, an outline for proving that a function is surjective, and some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Abstract Algebra