Matrices

Perfect matrix

In mathematics, a perfect matrix is an m-by-n binary matrix that has no possible k-by-k submatrix K that satisfies the following conditions: * k > 3 * the row and column sums of K are each equal to b, where b ≥ 2 * there exists no row of the (m − k)-by-k submatrix formed by the rows not included in K with a row sum greater than b. The following is an example of a K submatrix where k = 5 and b = 2: (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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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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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

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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

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From playlist Linear Algebra makes sense

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The Zero Matrix

Definitions of matrix equality and matrix addition allow us to prove that there's a "zero" matrix: an m by n matrix Z that, when added to any other m by n matrix A, yields A. (We also show that Z is unique.)

From playlist Linear Algebra

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From playlist Michel van Biezen: PRECALCULUS 12 - MATRICES

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From playlist LAFF - Week 4

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What's the best way to think about a matrix for data science? --- Like, Subscribe, and Hit that Bell to get all the latest videos from ritvikmath ~ --- Check out my Medium: https://medium.com/@ritvikmathematics

From playlist Data Science Basics

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Recorded 11 January 2023. Evrim Acar of Simula Research Laboratory presents "Extracting Insights from Complex Data: Constrained Multimodal Data Mining using Coupled Matrix and Tensor Factorizations" at IPAM's Explainable AI for the Sciences: Towards Novel Insights Workshop. Abstract: In or

From playlist 2023 Explainable AI for the Sciences: Towards Novel Insights

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Renaud COULANGEON - Lattices, Perfects lattices, Voronoi reduction theory, modular forms, ... 1

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From playlist Advances in Applied Probability II (Online)

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From playlist Summer of Math Exposition 2 videos

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Discussion Meeting Sphere Packing ORGANIZERS: Mahesh Kakde and E.K. Narayanan DATE: 31 October 2019 to 06 November 2019 VENUE: Madhava Lecture Hall, ICTS Bangalore Sphere packing is a centuries-old problem in geometry, with many connections to other branches of mathematics (number the

From playlist Sphere Packing - 2019

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From playlist Optimization, Complexity and Invariant Theory

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From playlist Seminar on Applied Geometry and Algebra (SIAM SAGA)

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This video lesson is part of a complete course on neuroscience time series analyses. The full course includes - over 47 hours of video instruction - lots and lots of MATLAB exercises and problem sets - access to a dedicated Q&A forum. You can find out more here: https://www.udemy.

From playlist NEW ANTS #2) Static spectral analysis

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From playlist Mathematics

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The permanent of a square matrix is like the determinant except that you don't multiply by the signs of the permutations. Since the determinant arises very naturally, the "simpler" definition of the permanent actually leads to a quantity that is less natural and very hard to calculate. How

From playlist Topics in Combinatorics (Cambridge Part III course)

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