Definition of Rank and showing Rank(A) = Dim Col(A) In this video, I define the notion of rank of a matrix and I show that it is the same as the dimension of the column space of that matrix. This is another illustration of the beautiful interplay between linear transformations and matrice
From playlist Linear Equations
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 Rank Sum Tests
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
From playlist Linear Algebra (Entire Course)
Percentiles, Deciles, Quartiles
Understanding percentiles, quartiles, and deciles through definitions and examples
From playlist Unit 1: Descriptive Statistics
Excel 2010 Preview #1: New Rank Function RANK.AVE
Download Excel file: https://people.highline.edu/mgirvin/YouTubeExcelIsFun/Excel2010NewAwesomeThings1-8.xlsx RANK.AVE will average the rank score when there is a tie!! See the new Excel 2010 RANK.AVE and RANK.EQ functions.
From playlist Excel 2010 Videos
Rank, and the Relationship between Col(A) and Null(A)
Description: Associated to every matrix is a number called the rank, defined to be the Dimension of the Column Space (aka the number of leading 1s). We get the wonderful relation that the dimension of Col(A) plus the diemnsion of Null(A) adds to the number of columns n. Learning Objectiv
From playlist Older Linear Algebra Videos
More Standard Deviation and Variance
Further explanations and examples of standard deviation and variance
From playlist Unit 1: Descriptive Statistics
Statistics - Levels of measurement
In this video I'll go over the categories for classifying data such as nominal, ordinal, interval, and ratio. To classify these remember to ask questions like, "can the data be ordered?" For more videos please visit http://www.mysecretmathtutor.com
From playlist Statistics
Alvaro Lozano-Robledo, The distribution of ranks of elliptic curves and the minimalist conjecture
VaNTAGe seminar, on Sep 29, 2020 License: CC-BY-NC-SA. An updated version of the slides that corrects a few minor issues can be found at https://math.mit.edu/~drew/vantage/LozanoRobledoSlides.pdf
From playlist Math Talks
Lecture 17: Rapidly Decreasing Singular Values
MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018 Instructor: Alex Townsend View the complete course: https://ocw.mit.edu/18-065S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63oMNUHXqIUcrkS2PivhN3k Professor Alex Town
From playlist MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018
Anna Seigal: "From Linear Algebra to Multi-Linear Algebra"
Watch part 2/2 here: https://youtu.be/f5MiPayz_e8 Tensor Methods and Emerging Applications to the Physical and Data Sciences Tutorials 2021 "From Linear Algebra to Multi-Linear Algebra" Anna Seigal - University of Oxford Abstract: Linear algebra is the foundation to methods for finding
From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021
Christian Ikenmeyer: "Minrank: On the Complexity of Orbit Closures"
Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop IV: Efficient Tensor Representations for Learning and Computational Complexity "Minrank: On the Complexity of Orbit Closures" Christian Ikenmeyer - University of Liverpool Institute for Pure and Appl
From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021
Steve Oudot (9/8/21): Signed barcodes for multi-parameter persistence via rank decompositions
In this talk I will introduce the signed barcode, a new visual representation of the global structure of the rank invariant of a multi-parameter persistence module or, more generally, of a poset representation. Like its unsigned counterpart in one-parameter persistence, the signed barcode
From playlist AATRN 2021
Non-commutative rank - Visu Makam
Computer Science/Discrete Mathematics Seminar II Topic: Non-commutative rank Speaker: Visu Makam Affiliation: University of Michigan; Member, School of Mathematics Date: February 5, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Tropical Geometry - Lecture 10 - Matrix Rank | Bernd Sturmfels
Twelve lectures on Tropical Geometry by Bernd Sturmfels (Max Planck Institute for Mathematics in the Sciences | Leipzig, Germany) We recommend supplementing these lectures by reading the book "Introduction to Tropical Geometry" (Maclagan, Sturmfels - 2015 - American Mathematical Society)
From playlist Twelve Lectures on Tropical Geometry by Bernd Sturmfels
Arrow's Impossibility Theorem | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi The bizarre Arrow’s Impossibility Theorem, or Arrow’s Paradox, shows a counterintuitive relationship between fair voting procedures and dictatorships. Start your free t
From playlist An Infinite Playlist
In this video, I give a neat consequence of the Fundamental Rank Theorem (link below) by showing that A and A^T always have the same rank. Suprising, because they usually don't look the same! Fundamental Rank Theorem: https://youtu.be/H12cJYZC7KA Another proof of this fact using dual spa
From playlist Linear Equations
Matthias Christandl: "Asymptotics of Ranks of Tensors"
Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop IV: Efficient Tensor Representations for Learning and Computational Complexity "Asymptotics of Ranks of Tensors" Matthias Christandl - University of Copenhagen Abstract: Unlike the matrix case, there
From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021
This clip describes how the concept of rank is linked to the projection of a point to a plane through the origin. The clip is from the book "Immersive Linear Algebra" available at http://www.immersivemath.com.
From playlist Chapter 8 - Rank