Functional analysis | Linear algebra
In linear algebra, the transpose of a linear map between two vector spaces, defined over the same field, is an induced map between the dual spaces of the two vector spaces. The transpose or algebraic adjoint of a linear map is often used to study the original linear map. This concept is generalised by adjoint functors. (Wikipedia).
In this very easy and short tutorial I explain the concept of the transpose of matrices, where we exchange rows for columns. The matrices have some properties that you should be aware of. These include how to the the transpose of the product of matrices and in the transpose of the invers
From playlist Introducing linear algebra
Linear Algebra 11w: Introduction to the Transpose of a Matrix
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications
What is the transpose of a matrix?
What is the transpose of a matrix? Here it is defined and some simple examples are discussed. Free ebook http://tinyurl.com/EngMathYT
From playlist Intro to Matrices
4B Transpose of a Matrix-YouTube sharing.mov
The transpose of a matrix.
From playlist Linear Algebra
From playlist Linear Algebra Ch 7
The deeper meaning of matrix transpose
100k Q&A: https://forms.gle/dHnWwszzfHUqFKny7 Transpose isn’t just swapping rows and columns - it’s more about changing perspective to get the same measurements. By understanding the general idea of transpose of a linear map, we can use it to visualise transpose much more directly. We wil
From playlist Traditional topics, explained in a new way
Calculating the transpose using the definition In this sequel to our transpose-extravanganza, I concretely show how to calculate the transpose of a matrix using the definition of the transpose (the one that uses dual spaces). Enjoy! Definition of the transpose: https://www.youtube.com/wa
From playlist Dual Spaces
This video defines the transpose of a matrix and explains how to transpose a matrix. The properties of transposed matrices are also discussed. Site: mathispower4u.com Blog: mathispower4u.wordpress.com
From playlist Introduction to Matrices and Matrix Operations
4C Properties of the Transpose
The properties of the transpose of a matrix.
From playlist Linear Algebra
Annihilators and the Matrix of a Dual Map
Definition of annihilator. Dimension of the annihilator. The null space and range of the dual map T'. Surjectivity and injectivity of T correspond to injectivity and surjectivity of T'. The dimension of the range of T'. Transpose of matrices. The matrix of T'. Row rank = column rank.
From playlist Linear Algebra Done Right
Stanford CS229: Machine Learning | Summer 2019 | Lecture 8 - Kernel Methods & Support Vector Machine
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3DYVYzo Anand Avati Computer Science, PhD To follow along with the course schedule and syllabus, visit: http://cs229.stanford.edu/syllabus-summer2019.html
From playlist Stanford CS229: Machine Learning Course | Summer 2019 (Anand Avati)
Geometry - Isometries and orthogonal matrices: Oxford Mathematics 1st Year Student Lecture
This is the second lecture we are showing from Derek Moulton's first-year Geometry course. This lecture provides an introduction to the concept of isometry, by which we mean a map from vector space to vector space that preserves distances. It outlines some basic ideas and makes the importa
From playlist Oxford Mathematics 1st Year Student Lectures
6. Singular Value Decomposition; Iterative Solutions of Linear Equations
MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015 View the complete course: http://ocw.mit.edu/10-34F15 Instructor: James Swan This is the last lecture on solving linear algebra. It began in recapping what students already learned in eigenvalues, eigenvectors, and eig
From playlist MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015
Part III: Linear Algebra, Lec 4: Linear Transformations
Part III: Linear Algebra, Lecture 4: Linear Transformations 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
Lecture 05: Spatial Transformations (CMU 15-462/662)
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz2emSh0UQ5iOdT2xRHFHL7E Course information: http://15462.courses.cs.cmu.edu/
From playlist Computer Graphics (CMU 15-462/662)
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Visualizations of left nullspace and rowspace | Linear Algebra | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/linear-algebra/matrix-transformations/matrix-transpose/v/lin-alg-visualizations-of-left-nullspace-and-rowspace Relationship between left nullspace, rowspace, colum
From playlist Matrix transformations | Linear Algebra | Khan Academy
Stanford CS229: Machine Learning | Summer 2019 | Lecture 5 - Perceptron and Logistic Regression
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3Eb7jw6 Anand Avati Computer Science, PhD To follow along with the course schedule and syllabus, visit: http://cs229.stanford.edu/syllabus-summer2019.html
From playlist Stanford CS229: Machine Learning Course | Summer 2019 (Anand Avati)
Ex: Find the Transpose of a Matrix
This video explains how to find the transpose of a given matrix.
From playlist Introduction to Matrices and Matrix Operations
Lecture 7 - Kernels | Stanford CS229: Machine Learning Andrew Ng (Autumn 2018)
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3GftN16 Andrew Ng Adjunct Professor of Computer Science https://www.andrewng.org/ To follow along with the course schedule and syllabus, visit: http://cs229.sta
From playlist Stanford CS229: Machine Learning Full Course taught by Andrew Ng | Autumn 2018