Functional analysis | Linear algebra

Transpose of a linear map

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).

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Transpose of 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

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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

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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

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4B Transpose of a Matrix-YouTube sharing.mov

The transpose of a matrix.

From playlist Linear Algebra

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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

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Transpose Example

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

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Transpose of a Matrix

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

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4C Properties of the Transpose

The properties of the transpose of a matrix.

From playlist Linear Algebra

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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

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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)

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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

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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

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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

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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)

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59 - Hom(V,W)

Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering

From playlist Algebra 1M

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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

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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)

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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

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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

Related pages

Hahn–Banach theorem | Operator norm | Linear algebra | Dual system | Kernel (linear algebra) | Topological vector space | Dot product | Inclusion map | Algebra over a field | Pullback | Adjoint functors | Linear map | Surjection of Fréchet spaces | Fréchet space | Dual space | Field (mathematics) | Isometry | Category theory | Polar set | Nondegenerate form | Locally convex topological vector space | Transpose | Matrix (mathematics) | Antihomomorphism