Abstract algebra | Linear algebra | Matrices
In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of the matrix A by producing another matrix, often denoted by AT (among other notations). The transpose of a matrix was introduced in 1858 by the British mathematician Arthur Cayley. In the case of a logical matrix representing a binary relation R, the transpose corresponds to the converse relation RT. (Wikipedia).
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
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
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
Transpose of a Matrix | Don't Memorise
What is the Transpose of a Matrix? ✅To learn more about, Matrices, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=g_Rz94DXvNo&utm_term=%7Bkeyword%7D In this video, we will learn: 0:00 what is transp
From playlist Matrices
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
Definition of the transpose Have you ever wondered where the transpose comes from? In this video, I show that the transpose arises naturally in the setting of dual spaces. This should also illustrate why dual spaces are so important. Enjoy! Transpose Example (Sequel): https://youtu.be/x2
From playlist Dual Spaces
Matrices: Transpose and Symmetric Matrices
This is the third video of a series from the Worldwide Center of Mathematics explaining the basics of matrices. This video deals with matrix transpose and symmetric matrices. For more math videos, visit our channel or go to www.centerofmath.org
From playlist Basics: Matrices
4B Transpose of a Matrix-YouTube sharing.mov
The transpose of a matrix.
From playlist Linear Algebra
Symmetric and skew symmetric matricies (Ch5 Pr15)
Here we show that A+A^T and AA^T are symmetric matrices, and A-A^T is skew symmetric for A is a square matrix. Presented by N J Wildberger of the School of Mathematics and Statistics, Faculty of Science, UNSW.
From playlist Mathematics 1A (Algebra)
Mod-01 Lec-19 Cholesky decomposition
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
Transposes and Inverses III | Linear Algebra MATH1141 | N J Wildberger
We continue the discussion on transposes and inverses, and how they interact. We also mention symmetric, skew-symmetric and orthogonal n by n matrices. ************************ Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview
From playlist Higher Linear Algebra
19. Principal Component Analysis
MIT 18.650 Statistics for Applications, Fall 2016 View the complete course: http://ocw.mit.edu/18-650F16 Instructor: Philippe Rigollet In this lecture, Prof. Rigollet reviewed linear algebra and talked about multivariate statistics. License: Creative Commons BY-NC-SA More information at
From playlist MIT 18.650 Statistics for Applications, Fall 2016
In this video, I prove quite a shocking result: Even though for matrices, we have A^TT = A, for linear transformations, we do not have T^TT = T. However, I also show that if we identify V^** with V, then in some sense, we do have T^TT = T. Enjoy this double duality extravaganza! Transpose
From playlist Dual Spaces
Stanford ENGR108: Introduction to Applied Linear Algebra | 2020 | Lecture 32 - VMLS pseudo inverse
Professor Stephen Boyd Samsung Professor in the School of Engineering Director of the Information Systems Laboratory To follow along with the course schedule and syllabus, visit: https://web.stanford.edu/class/engr108/ To view all online courses and programs offered by Stanford, visit:
From playlist Stanford ENGR108: Introduction to Applied Linear Algebra —Vectors, Matrices, and Least Squares
undergraduate machine learning 15: Singular Value Decomposition - SVD
Eigenvalue expansions, the singular value decomposition (SVD) and image compression. The slides are available here: http://www.cs.ubc.ca/~nando/340-2012/lectures.php This course was taught in 2012 at UBC by Nando de Freitas
From playlist undergraduate machine learning at UBC 2012
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