Sparse matrices | Linear algebra

Bidiagonal matrix

In mathematics, a bidiagonal matrix is a banded matrix with non-zero entries along the main diagonal and either the diagonal above or the diagonal below. This means there are exactly two non-zero diagonals in the matrix. When the diagonal above the main diagonal has the non-zero entries the matrix is upper bidiagonal. When the diagonal below the main diagonal has the non-zero entries the matrix is lower bidiagonal. For example, the following matrix is upper bidiagonal: and the following matrix is lower bidiagonal: (Wikipedia).

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Matrix addition

How do we add matrices. A matrix is an abstract object that exists in its own right, and in this sense, it is similar to a natural number, or a complex number, or even a polynomial. Each element in a matrix has an address by way of the row in which it is and the column in which it is. Y

From playlist Introducing linear algebra

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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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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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7F Diagonal Triangular Symmetric Matrices

Diagonal, triangular, and symmetric matrices.

From playlist Linear Algebra

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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

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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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Ex 2: Determinant of 3x3 Matrix - Diagonal Method

This video provides an example of how to calculate the determinant using the diagonal method. Site: http://mathispower4u.com

From playlist The Determinant of a Matrix

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Quaternions as 4x4 Matrices - Connections to Linear Algebra

In math, it's usually possible to view an object or concept from many different (but equivalent) angles. In this video, we will see that the quaternions may be viewed as 4x4 real-valued matrices of a special form. What is interesting here is that if you know how to multiply matrices, you a

From playlist Quaternions

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3.2.6 Symmetric Matrices

3.2.6 Symmetric Matrices

From playlist LAFF - Week 3

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Lecture 01-03 Linear Algebra review

Machine Learning by Andrew Ng [Coursera] 0113 Matrices and vectors 0114 Addition and scalar multiplication 0115 Matrix-vector multiplication 0116 Matrix-matrix multiplication 0117 Matrix multiplication properties 0118 Inverse and transpose

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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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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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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