This article lists some important classes of matrices used in mathematics, science and engineering. A matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers called entries. Matrices have a long history of both study and application, leading to diverse ways of classifying matrices. A first group is matrices satisfying concrete conditions of the entries, including constant matrices. Important examples include the identity matrix given by and the zero matrix of dimension . For example: . Further ways of classifying matrices are according to their eigenvalues, or by imposing conditions on the product of the matrix with other matrices. Finally, many domains, both in mathematics and other sciences including physics and chemistry, have particular matrices that are applied chiefly in these areas. (Wikipedia).
Matrices: Leading Rows and leading Columns
What are leading rows and columns in a matrix? What are leading entries?
From playlist Intro to Linear Systems
Matrix Addition, Subtraction, and Scalar Multiplication
This video shows how to add, subtract and perform scalar multiplication with matrices. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/
From playlist Introduction to Matrices and Matrix Operations
What is a matrix? Free ebook http://tinyurl.com/EngMathYT
From playlist Intro to Matrices
This video explains how to determine the dimension of a matrix and why it is important to be able to identify the dimensions of a matrix. Site: http://mathispower4u.com
From playlist Introduction to Matrices and Matrix Operations
This video introduces the identity matrix and illustrates the properties of the identity matrix. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/
From playlist Introduction to Matrices and Matrix Operations
Identity Matrix | Unit Matrix | Don't Memorise
This video explains the concept of an Identity Matrix. Is it also called a Unit Matrix? ✅To learn more about, Matrices, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=iks8wCfPerU&utm_term=%7Bkeyword%
From playlist Matrices
This video defines elementary matrices and then provides several examples of determining if a given matrix is an elementary matrix. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Augmented Matrices
In this lesson we learn about matrices: two-dimensional data structures in R with rows and columns. Matrices are a building block to learning about more complicated tabular data structures like data frames which are used extensively in data science. This is lesson 6 of a 30-part introduct
From playlist Introduction to R
31. Eigenvectors of Circulant Matrices: Fourier Matrix
MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018 Instructor: Gilbert Strang View the complete course: https://ocw.mit.edu/18-065S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63oMNUHXqIUcrkS2PivhN3k This lecture conti
From playlist MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018
What are the Types of Numbers? Real vs. Imaginary, Rational vs. Irrational
We've mentioned in passing some different ways to classify numbers, like rational, irrational, real, imaginary, integers, fractions, and more. If this is confusing, then take a look at this handy-dandy guide to the taxonomy of numbers! It turns out we can use a hierarchical scheme just lik
From playlist Algebra 1 & 2
Complex, Hermitian, and Unitary Matrices
Remember when we talked about complex and imaginary numbers? All that a + bi stuff, it was a while ago. Well that can apply to matrices as well! We've been looking at real matrices thus far, but we can have imaginary or complex matrices if we have imaginary or complex terms as entries. Wha
From playlist Mathematics (All Of It)
1.6 Arrays and matrices in R | statistical analysis and data science course Rstudio | Dimensional
In this chapter of the video series in the crash course in statistics and data science with R / Rstudio we will see the definition, utilization, and importance of arrays with R. Also, we discuss their extension from vectors to matrices. Part 1: Definition - What is an array? - Array or
From playlist R Tutorial | Rstudio
Working with Matrices in Mathematica
This tutorial shows how to define and manipulate matrices in Mathematica. Some of the topics we cover in this video include: -Defining a matrix -Displaying/viewing a matrix (MatrixForm) -Matrix multiplication (both standard and elementwise) -Matrix powers -Extracting submatrices -Transpo
From playlist Working with Mathematica
R - Introduction to R (1.2 Flip)
Lecturer: Dr. Erin M. Buchanan Spring 2021 https://www.patreon.com/statisticsofdoom This video covers object types, get ready to learn about vectors, matrices, data frames, and more! These videos are part of a series for a flipped graduated statistics course. The videos are numbered to
From playlist Graduate Statistics Flipped
Alexander HULPKE - Computational group theory, cohomology of groups and topological methods 2
The lecture series will give an introduction to the computer algebra system GAP, focussing on calculations involving cohomology. We will describe the mathematics underlying the algorithms, and how to use them within GAP. Alexander Hulpke's lectures will being with some general computation
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
The Square Lattice via group D4 and its hypergroups | Diffusion Symmetry 5 | N J Wildberger
Hypergroups are remarkable probabilistic/ algebraic objects that have a close connection to groups, but that allow a transformation of non-commutative problems into the commutative setting. This gives powerful new tools for harmonic analysis in situations ruled by symmetry. Bravais latti
From playlist Diffusion Symmetry: A bridge between mathematics and physics
R Programming Introduction: Matrices (R intro-05)
[script is here https://github.com/bionicturtle/youtube/tree/master/r-intro] In R a matrix is an atomic vector with the dimension attribute. In this example, the correlation matrix is entered as a vector with sixteen elements: rho_v <-c(1.000, ...). Then the vector is translated into a mat
From playlist R Programming: Intro
Pauli matrices vs. su(2) basis vs. quaternions
In this video we discuss Pauli matrices as base for hermitean 2x2 complex matrices, as relevant for modeling observables in quantum theory - but also for quantum mechanics, as demonstrated. You can find the text used in this video here: https://gist.github.com/Nikolaj-K/103f07367c116b64b56
From playlist Physics
Matrices: Matrix Multiplication, Orders, Adding, Scalar Multiplication
Follow the basics and it's easy to multiply matrices. Start off easy with orders - rows and columns and from there you'll be adding, subtracting and multiplying matrices. To donate to the tecmath channel:https://paypal.me/tecmath To support tecmath on Patreon: https://www.patreon.com/te
From playlist Matrices
1.5 Matrices and operations in R | statistical analysis and data science course Rstudio | Algebra
In this chapter of the video series in the crash course in statistics and data science with R / Rstudio we will see the definition, utilization, and importance of matrices with R. Also, we discuss the different algebraic operations like sum, subtraction and multiplication, as well as inver
From playlist R Tutorial | Rstudio