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).
What is a matrix? Free ebook http://tinyurl.com/EngMathYT
From playlist Intro to Matrices
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
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
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
Matrices, matrix multiplication and linear transformations | Linear algebra makes sense
Brilliant.org: https://brilliant.org/LookingGlassUniverse/ Previous video on vectors and bases (watch this first): https://www.youtube.com/playlist?list=PLg-OiIIbfPj3Wldtb0QfV0Yse8tL2nLGm Next video: https://youtu.be/ESKcF8XFzLM Matrices are often presented as a useful bookkeeping/ com
From playlist Linear Algebra makes sense
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
PreCalculus - Matrices & Matrix Applications (11 of 33) What are Equal Matrices?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what are equal matrices. Next video in the Matrices series can be seen at: http://youtu.be/sQ4od79mGRA
From playlist Michel van Biezen: PRECALCULUS 12 - MATRICES
4.4.4 Matrix-matrix multiplication: Special Shapes
4.4.1 Matrix-matrix multiplication: Motivation
From playlist LAFF - Week 4
So ... What Actually is a Matrix ? : Data Science Basics
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
Evrim Acar - Constrained Multimodal Data Mining using Coupled Matrix and Tensor Factorizations
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
Renaud COULANGEON - Lattices, Perfects lattices, Voronoi reduction theory, modular forms, ... 1
Lattices, Perfects lattices, Voronoi reduction theory, modular forms, computations of isometries and automorphisms The talks of Coulangeon will introduce the notion of perfect, eutactic and extreme lattices and the Voronoi's algorithm to enumerate perfect lattices (both Eulcidean and He
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Fractionally Log-Concave and Sector-Stable Polynomials by Nima Anari
Program Advances in Applied Probability II (ONLINE) ORGANIZERS: Vivek S Borkar (IIT Bombay, India), Sandeep Juneja (TIFR Mumbai, India), Kavita Ramanan (Brown University, Rhode Island), Devavrat Shah (MIT, US) and Piyush Srivastava (TIFR Mumbai, India) DATE: 04 January 2021 to 08 Januar
From playlist Advances in Applied Probability II (Online)
Counting Tilings (with Linear Algebra)
What does a chessboard have to do with trigonometry, complex numbers and linear algebra? Well, quite a lot if you want to calculate the number of possibilities to tile said board with two by one tiles! In this video, we will apply methods from seemingly unrelated fields to arrive at one
From playlist Summer of Math Exposition 2 videos
Quadratic forms and Hermite constant, reduction theory by Radhika Ganapathy
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
Motivations, connections and scope of the workshop - Avi Wigderson
Optimization, Complexity and Invariant Theory Topic: Motivations, connections and scope of the workshop Speaker: Avi Wigderson Affiliation: Institute for Advanced Study Date: June 4, 2018 For more videos, please visit http://video.ias.edu
From playlist Optimization, Complexity and Invariant Theory
Seminar on Applied Geometry and Algebra (SIAM SAGA): Avi Wigderson
For more information, see our website: http://wiki.siam.org/siag-ag/index.php/Webinar Date: Tuesday, October 12 at 11:00am Eastern time zone Speaker: Avi Wigderson, Institute for Advanced Study Title: Optimization, Complexity and Math (or, can we prove P!=NP by gradient descent?)
From playlist Seminar on Applied Geometry and Algebra (SIAM SAGA)
The perfection of the Fourier transform
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
Geodesically Convex Optimization (or, can we prove P!=NP using gradient descent) - Avi Wigderson
Computer Science/Discrete Mathematics Seminar II Topic: Geodesically Convex Optimization (or, can we prove P!=NP using gradient descent) Speaker: Avi Wigderson Affiliation: Herbert H. Maass Professor, School of Mathematics Date: April 21, 2020 For more video please visit http://video.ias
From playlist Mathematics
Topics in Combinatorics lecture 10.5 --- An entropy proof of Brégman's theorem
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)