Multilinearity of the determinant In this video, I define the notion of a multilinear function and I show that the determinant is multilinear. Come and get a taste of the beauty of multilinear algebra :) Check out my Determinants Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIr
From playlist Determinants
Differential Equations: Linear Independence
Linear independence is a core idea from Linear Algebra. Surprisingly, it's also important in differential equations. This video is the second precursor to our discussion of homogeneous differential equations.
From playlist Differential Equations
Local linearity for a multivariable function
A visual representation of local linearity for a function with a 2d input and a 2d output, in preparation for learning about the Jacobian matrix.
From playlist Multivariable calculus
Math 060 092717 Linear Independence
Linear independence: definition of, examples and non-examples; intuition (dependence is redundancy; independence is minimality). Equivalence of dependence and a vector being included in the span of the others. Equivalence of independence with every vector in the span being uniquely expre
From playlist Course 4: Linear Algebra (Fall 2017)
Multivariable Calculus: Cross Product
In this video we explore how to compute the cross product of two vectors using determinants.
From playlist Multivariable Calculus
How to Evaluate a Multivariable Function Defined by an Integral
How to Evaluate a Multivariable Function Defined by an Integral If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Calculus 3
Multivariable Calculus | Differentiability
We give the definition of differentiability for a multivariable function and provide a few examples. http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
Introduction to Linearly Independent and Linearly Dependent Sets of Vectors
This video introduced the topic of linearly independent and dependent sets of vectors.
From playlist Linear Independence and Bases
One to one and linear independence
In this video, I explore an interesting relationship between linear independence and injectivity. In other words, I show that a set of vectors is linearly independent if and only if a related transformation is one-to-one. So, in some sense, those two notions are just different sides of the
From playlist Linear Transformations
Excel Statistical Analysis 21: Multiplication Law of Probability, AND Logical Test, Probability Tree
Download Excel File: https://excelisfun.net/files/Ch04-ESA.xlsm pdf notes: https://excelisfun.net/files/Ch04-ESA.pdf Learn about the Multiplication Law of Probability to calculate AND Logical Test Probabilities. Learn how to build a probability tree too. Topics: 1. (00:00) Introduction 2.
From playlist Excel Statistical Analysis for Business Class Playlist of Videos from excelisfun
(3.7) Intro to Solving a Linear System of ODEs using the Eigenvalue Method: Repeated Eigenvalues
This video explains how to solve the system x'=Ax when matrix A has repeated eigenvalues. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
Vectors and matrices, multiplication, rank
This series of lecturelets is all about matrix analysis. This first lecture is necessary for all the other ones, because it provides important introductions to what can be done with matrices and vectors, how to scale and multiply them, special kinds of matrices, rank and indendence, and ot
From playlist OLD ANTS #9) Matrix analysis
Elementary Linear Algebra: Facts about Linear Independence
In this video we discuss the various methods for determining whether a given set of vectors is linearly dependent or linearly independent.
From playlist Linear Algebra
Part III: Linear Algebra, Lec 2: Spanning Vectors
Part III: Linear Algebra, Lecture 2: Spanning Vectors Instructor: Herbert Gross View the complete course: http://ocw.mit.edu/RES18-008F11 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: Calculus of Complex Variables
Chapter 4.4: The Multiplication Rule
Chapter 4.4 from "Introduction to Statistics, Think & Do" by Scott Stevens (http://www.StevensStats.com) Textbook from Publisher, $29.95 print, $9.95 PDF http://www.centerofmathematics.com/wwcomstore/index.php/thinkdov4-1.html Textbook from Amazon: https://amzn.to/2zJRCjL
From playlist Statistics Lecture Videos
Mod-01 Lec-36 Spectral Theorem
Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics
Excel 2013 Statistical Analysis #28: Multiplication Law of Probability AND Events (16 Examples)
Download Excel file: https://people.highline.edu/mgirvin/AllClasses/210Excel2013/Ch04/Excel2013StatisticsChapter04.xlsm Download pdf notes file: https://people.highline.edu/mgirvin/AllClasses/210Excel2013/Ch04/Ch04PDFBusn210.pdf Topics in this video: 1. (00:25) Conditional Probability (3 E
From playlist Excel for Statistical Analysis in Business & Economics Free Course at YouTube (75 Videos)
Multivariable maxima and minima
A description of maxima and minima of multivariable functions, what they look like, and a little bit about how to find them.
From playlist Multivariable calculus
Lecture 1: The Column Space of A Contains All Vectors Ax
MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018 Instructor: Gilbert Strang View the complete course: https://ocw.mit.edu/18-065S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63oMNUHXqIUcrkS2PivhN3k In this first lect
From playlist MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018