Sparse matrices

Heptadiagonal matrix

In linear algebra, a heptadiagonal matrix is a matrix that is nearly diagonal; to be exact, it is a matrix in which the only nonzero entries are on the main diagonal, and the first three diagonals above and below it. So it is of the form It follows that a heptadiagonal matrix has at most nonzero entries, where n is the size of the matrix. Hence, heptadiagonal matrices are sparse. This makes them useful in numerical analysis. (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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matrix choose a matrix

matrix choose a matrix. Calculating the number of matrix combinations of a matrix, using techniques from linear algebra like diagonalization, eigenvalues, eigenvectors. Special appearance by simultaneous diagonalizability and commuting matrices. In the end, I mention the general case using

From playlist Eigenvalues

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Symmetric matrices - eigenvalues & eigenvectors

Free ebook http://tinyurl.com/EngMathYT A basic introduction to symmetric matrices and their properties, including eigenvalues and eigenvectors. Several examples are presented to illustrate the ideas. Symmetric matrices enjoy interesting applications to quadratic forms.

From playlist Engineering Mathematics

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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)

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Column space of a matrix

We have already looked at the column view of a matrix. In this video lecture I want to expand on this topic to show you that each matrix has a column space. If a matrix is part of a linear system then a linear combination of the columns creates a column space. The vector created by the

From playlist Introducing linear algebra

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Dimensions of a Matrix

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

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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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The Identity Matrix

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

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Introduction to Matrices | Geometry | Maths | FuseSchool

Introduction to Matrices | Geometry | Maths | FuseSchool Chances are, you have heard the word “matrices” in a movie. But do you know what they are or what they are used for? Well, “matrices” is plural of a “matrix”. And you can think about a matrix as just a table of numbers, and that’s

From playlist MATHS: Geometry & Measures

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From playlist Machine Learning by Professor Andrew Ng

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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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Part IV: Matrix Algebra, Lec 2 | MIT Calculus Revisited: Multivariable Calculus

Part IV: Matrix Algebra, Lecture 2: The "Game" of Matrices Instructor: Herbert Gross View the complete course: http://ocw.mit.edu/RES18-007F11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT Calculus Revisited: Multivariable Calculus

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Desmos Matrix Calc: Matrix Multiplication

This video explains how to us the Desmos Matrix Calculator to perform matrix multiplication. Not solved by hand

From playlist Introduction to Matrices and Matrix Operations

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Eigenvectors and Eigenvalues with Jon Krohn

Data scientist Jon Krohn introduces the linear algebra concepts of Eigenvectors and Eigenvalues with a focus on Machine Learning and Python programming. This lesson is an excerpt from “Linear Algebra for Machine Learning LiveLessons” Purchase the entire video course at informit.com/youtub

From playlist Talks and Tutorials

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Matrix Operations Full Length

We start discussing how to label matrices and their elements. We then define Order of Matrices and Equal Matrices working an example at 5:49. I then discuss Adding Matrices at 9:40 and work through three examples. Properties of Adding Matrices are explained at 16:00 Scalar Multiplication

From playlist Linear Algebra

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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

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Transpose of a Matrix

This video defines the transpose of a matrix and explains how to transpose a matrix. The properties of transposed matrices are also discussed. Site: mathispower4u.com Blog: mathispower4u.wordpress.com

From playlist Introduction to Matrices and Matrix Operations

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WildLinAlg12: Generalized dilations and eigenvectors

This video introduces the important idea of changing coordinates in Linear Algebra. A linear transformation can be described using many different matrices, depending on the underlying coordinate system, or ordered basis, which is used to describe the space. The simplest case is when the

From playlist A first course in Linear Algebra - N J Wildberger

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Singular Value Decomposition (SVD) and Image Compression

Github repo: http://www.github.com/luisguiserrano/singular_value_decomposition Grokking Machine Learning Book: https://www.manning.com/books/grokking-machine-learning 40% discount promo code: serranoyt In this video, we learn a very useful matrix trick called singular value decomposition

From playlist Unsupervised Learning

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2 Construction of a Matrix-YouTube sharing.mov

This video shows you how a matrix is constructed from a set of linear equations. It helps you understand where the various elements in a matrix comes from.

From playlist Linear Algebra

Related pages

Tridiagonal matrix | Numerical analysis | Diagonal matrix | Linear algebra | Matrix (mathematics) | Sparse matrix | Pentadiagonal matrix