Matrices

Balanced matrix

In mathematics, a balanced matrix is a 0-1 matrix (a matrix where every entry is either zero or one) that does not contain any square submatrix of odd order having all row sums and all column sums equal to 2. Balanced matrices are studied in linear programming. The importance of balanced matrices comes from the fact that the solution to a linear programming problem is integral if its matrix of coefficients is balanced and its right hand side or its objective vector is an all-one vector. In particular, if one searches for an integral solution to a linear program of this kind, it is not necessary to explicitly solve an integer linear program, but it suffices to find an optimal vertex solution of the linear program itself. As an example, the following matrix is a balanced matrix: (Wikipedia).

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What is a Matrix?

What is a matrix? Free ebook http://tinyurl.com/EngMathYT

From playlist Intro to Matrices

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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

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From playlist Basics: Matrices

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This video defines a diagonal matrix and then explains how to determine the inverse of a diagonal matrix (if possible) and how to raise a diagonal matrix to a power. Site: mathispower4u.com Blog: mathispower4u.wordpress.com

From playlist Introduction to Matrices and Matrix Operations

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This video is brought to you by the Quantitative Analysis Institute at Wellesley College. The material is best viewed as part of the online resources that organize the content and include questions for checking understanding: https://www.wellesley.edu/qai/onlineresources

From playlist Tutorials for R Statistical Software

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The Diagonalization of Matrices

This video explains the process of diagonalization of a matrix.

From playlist The Diagonalization of Matrices

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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

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From playlist Introducing linear algebra

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Polynomial Identity Testing via Optimization: algorithms by Rafael Oliveira

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From playlist Workshop on Algebraic Complexity Theory 2019

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From playlist Algebra 1: Dynamic Interactives!

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Non-negatively Weighted #CSPs: An Effective Complexity Dichotomy - Xi Chen

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From playlist Mathematics

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Lec 13 | MIT 18.085 Computational Science and Engineering I, Fall 2008

Lecture 13: Kirchhoff's Current Law License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 18.085 Computational Science & Engineering I, Fall 2008

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https://indico.math.cnrs.fr/event/3475/attachments/2180/2565/Ermann_GomaxSlides.pdf

From playlist Google matrix: fundamentals, applications and beyond

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From playlist Machine Learning

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Lec 8 | MIT 18.085 Computational Science and Engineering I, Fall 2008

Lecture 08: Springs and masses; the main framework License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 18.085 Computational Science & Engineering I, Fall 2008

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Data-Driven Control: Balanced Proper Orthogonal Decomposition

In this lecture, we introduce the balancing proper orthogonal decomposition (BPOD) to approximate balanced truncation for high-dimensional systems. https://www.eigensteve.com/

From playlist Data-Driven Control with Machine Learning

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Lec 3 | MIT 18.085 Computational Science and Engineering I

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From playlist MIT 18.085 Computational Science & Engineering I, Fall 2007

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Lec 2 | MIT 18.085 Computational Science and Engineering I

One-dimensional applications: A = difference matrix A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 18.085 Computational Science & Engineering I, Fall 2007

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Data-Driven Control: Balanced Truncation

In this lecture, we describe the balanced truncation procedure for model reduction, where a handful of the most controllable and observable state directions are kept for the reduced-order model. https://www.eigensteve.com/

From playlist Data-Driven Control with Machine Learning

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Linear programming relaxation | If and only if | Cycle graph | Mathematics | Perfect matrix | Square matrix | Matrix (mathematics) | Linear programming | Incidence matrix