This video explains the definition of a vector space and provides examples of vector spaces.
From playlist Vector Spaces
What is a Vector Space? Definition of a Vector space.
From playlist Linear Algebra
33 - The dimension of a vector space
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Multivariable Calculus | The notion of a vector and its length.
We define the notion of a vector as it relates to multivariable calculus and define its length. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Vectors for Multivariable Calculus
Physics 2 - Motion In One-Dimension (1 of 22) Definition
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the definition vector and the difference between a scalar and vector.
From playlist MOST POPULAR VIDEOS
Have you ever wondered why we live in 3 dimensions or what 3D means? In this fun and nontechnical video, I give the mathematical definition of dimension and explain why this notion makes sense. Enjoy! Link to Replacement Theorem video: https://www.youtube.com/watch?v=lIkzgaHwQHY&list=PLJ
From playlist Vector Spaces
Ex: Find the Magnitude of a Vector in 3D
This video explains how to determine the magnitude of a vector in 3D. Site: http://mathispower4u.com
From playlist Vectors in Space (3D)
What is a Vector Space? (Abstract Algebra)
Vector spaces are one of the fundamental objects you study in abstract algebra. They are a significant generalization of the 2- and 3-dimensional vectors you study in science. In this lesson we talk about the definition of a vector space and give a few surprising examples. Be sure to su
From playlist Abstract Algebra
A short video on terms such as Vector Space, SubSpace, Span, Basis, Dimension, Rank, NullSpace, Col space, Row Space, Range, Kernel,..
From playlist Tutorial 4
9. Independence, Basis, and Dimension
MIT 18.06 Linear Algebra, Spring 2005 Instructor: Gilbert Strang View the complete course: http://ocw.mit.edu/18-06S05 YouTube Playlist: https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8 9. Independence, Basis, and Dimension License: Creative Commons BY-NC-SA More information at h
From playlist MIT 18.06 Linear Algebra, Spring 2005
Linear Transformations -- Abstract Linear Algebra 13
⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn ⭐my other channels⭐ Main Channel: https://www.youtube.com/michaelpennmath non-math podcast: http
From playlist Abstract Linear Algebra
WildLinAlg17: Rank and Nullity of a Linear Transformation
We begin to discuss linear transformations involving higher dimensions (ie more than three). The kernel and the image are important spaces, or properties of vectors, associated to a linear transformation. The corresponding dimensions are the nullity and the rank, and they satisfy a simple
From playlist A first course in Linear Algebra - N J Wildberger
Row space, left null space and rank | Lecture 24 | Matrix Algebra for Engineers
Definition of the row space, left null space, and rank of a matrix. Join me on Coursera: https://www.coursera.org/learn/matrix-algebra-engineers Lecture notes at http://www.math.ust.hk/~machas/matrix-algebra-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov
From playlist Matrix Algebra for Engineers
Invertibility and Isomorphic Vector Spaces
The dimension of L(V, W). Linear maps act like matrix multiplication. Injectivity is equivalent to surjectivity in finite dimensions.
From playlist Linear Algebra Done Right
Use the result that all bases of a vector space have the same length to define the dimension of the vector space. Show that every linearly independent list of the right length is a basis. Also, every spanning list of the right length is a basis. The formula for the dimension of the sum of
From playlist Linear Algebra Done Right
11. Matrix Spaces; Rank 1; Small World Graphs
MIT 18.06 Linear Algebra, Spring 2005 Instructor: Gilbert Strang View the complete course: http://ocw.mit.edu/18-06S05 YouTube Playlist: https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8 11. Matrix Spaces; Rank 1; Small World Graphs License: Creative Commons BY-NC-SA More informat
From playlist MIT 18.06 Linear Algebra, Spring 2005
Mod-01 Lec-07 Cauchy Schwaz Inequality and Orthogonal Sets
Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org
Definitions of null space, injectivity, range, and surjectivity. Fundamental theorem of linear maps. Consequences for systems of linear equations.
From playlist Linear Algebra Done Right
Independence, Basis, and Dimension
MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015 View the complete course: http://ocw.mit.edu/RES-18-009F15 Instructor: Gilbert Strang Vectors are a basis for a subspace if their combinations span the whole subspace and are independent:
From playlist MIT Learn Differential Equations
Calculus 3: Vector Calculus in 2D (1 of 39) Vector Notation
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain vector calculus in 2 dimensions. I will explain that vectors can represent physical quantities force, displacement, velocity, acceleration, torque, momentum, electric field, magnetic field, an
From playlist CALCULUS 3 CH 3 VECTOR CALCULUS