In linear algebra, a coefficient matrix is a matrix consisting of the coefficients of the variables in a set of linear equations. The matrix is used in solving systems of linear equations. (Wikipedia).
Homogeneous Systems: Given a Coefficient Matrix, Solve Ax=0
This video explains how to solve the vector equation Ax=0 given a coefficient matrix.
From playlist Rank and Homogeneous Systems
Find the Coefficient Matrix of a System to Determine Eigenvalues of a 2 by 2 Matrix
This video explains how to determine the coeifficient matrix for the system of equations to find the eigenvalues of a 2 by 2 matrix.
From playlist Eigenvalues and Eigenvectors
Construct a Coefficient Matrix For a Homogenous System Given a Vector Solution
This video explains how to write a possible coefficient matrix for a homogeneous system given a solution.
From playlist Rank and Homogeneous Systems
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
Ex: Write a System of Equations as a Matrix Equation (3x3)
This video explains how to write a matrix equation for a system of three equations with three unknowns. http://mathispower4u.com
From playlist Matrix Equations
Covariance (12 of 17) Covariance Matrix wth 3 Data Sets and Correlation Coefficients
Visit http://ilectureonline.com for more math and science lectures! To donate:a http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will find the correlation coefficients of the 3 data sets form the previous 2 videos. Next video in this series can be seen at:
From playlist COVARIANCE AND VARIANCE
Linear Algebra for Computer Scientists. 12. Introducing the Matrix
This computer science video is one of a series of lessons about linear algebra for computer scientists. This video introduces the concept of a matrix. A matrix is a rectangular or square, two dimensional array of numbers, symbols, or expressions. A matrix is also classed a second order
From playlist Linear Algebra for Computer Scientists
What is a matrix? Free ebook http://tinyurl.com/EngMathYT
From playlist Intro to Matrices
Understanding Matrices and Matrix Notation
In order to do linear algebra, we will have to know how to use matrices. So what's a matrix? It's just an array of numbers listed in a grid of particular dimensions that can represent the coefficients and constants from a system of linear equations. They're fun, I promise! Let's just start
From playlist Mathematics (All Of It)
RT8.3. Finite Groups: Projection to Irreducibles
Representation Theory: Having classified irreducibles in terms of characters, we adapt the methods of the finite abelian case to define projection operators onto irreducible types. Techniques include convolution and weighted averages of representations. At the end, we state and prove th
From playlist Representation Theory
Solve a System of Linear Equations Using Cramer's Rule (4 by 4)
This video explains how to solve a system of 4 equations with 4 unknowns using Cramer's Rule.
From playlist The Determinant of a Matrix
Fan Yang (U Penn) -- Sample canonical correlation coefficients of high-dimensional random vectors
We study the the sample correlation between two ensembles of high dimensional random vectors from the perspective of canonical-correlation analysis (CCA). Assuming almost sharp moment assumptions on the vector entries, we prove that the finite rank correlations will lead to outliers in the
From playlist Northeastern Probability Seminar 2020
55 - Matrix representation of linear maps (continued)
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Lecture 5 (CEM) -- TMM Using Scattering Matrices
This lecture formulates a stable transfer matrix method based on scattering matrices. The scattering matrices adopted here are greatly improved from the literature and are consistent with convention. The lecture ends with some advanced topics like dispersion analysis, cascading and doubl
From playlist UT El Paso: CEM Lectures | CosmoLearning.org Electrical Engineering
Lec 11 | MIT RES.6-008 Digital Signal Processing, 1975
Lecture 11: Representation of linear digital networks Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES6-008S11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6-008 Digital Signal Processing, 1975
Samit Dasgupta: An introduction to to auxiliary polynomials in transcendence theory, Lecture III
Broadly speaking, transcendence theory is the study of the rationality or algebraicity properties of quantities of arithmetic or analytic interest. For example, Hilbert’s 7th problem asked ”Is a b always transcendental if a 6= 0, 1 is algebraic and b is irrational algebraic?” An affirmativ
From playlist Harmonic Analysis and Analytic Number Theory
Math 060 Linear Algebra 12 100614: Change of Basis, ct'd.
Change of bases in abstract vector spaces; transition matrix from one basis to another; example of determining and using the transition matrix; transition matrices are invertible; invertible matrices can be realized as transition matrices
From playlist Course 4: Linear Algebra
Math 060 100617C Change of Basis
Change of basis in abstract vector spaces - finding the transition matrix from one coordinate system to another. Motivation: what does the transition matrix really mean (in the case of Euclidean space)? The transition matrix in the case of general vector spaces. Why does it work? Obser
From playlist Course 4: Linear Algebra (Fall 2017)
Using a Matrix Equation to Solve a System of Equations
This video shows how to solve a system of equations by using a matrix equation. The graphing calculator is integrated into the lesson. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/
From playlist Matrix Equations