Geometric transformation

Geometric Transformations

We discuss how "geometric transformations" (rotations, stretching, reflection) can be represented by matrices. We also briefly introduce the idea of "point matrices" and their application in computer graphics.

From playlist Mathematical Physics I Uploads

Geometric Algebra - The Matrix Representation of a Linear Transformation

In this video, we will show how matrices as computational tools may conveniently represent the action of a linear transformation upon a given basis. We will prove that conventional matrix operations, particularly matrix multiplication, conform to the composition of linear transformations.

From playlist Geometric Algebra

Geometric Algebra - Linear Transformations, Outermorphism, and the Determinant

In this video, we will review some basic concepts from linear algebra, such as the linear transformation, prove important theorems which ground matrix operations, extend the linear transformation on vectors to higher-graded elements to bivectors and trivectors, and define the determinant o

From playlist Geometric Algebra

What is a geometric mean

Learn about the geometric mean of numbers. The geometric mean of n numbers is the nth root of the product of the numbers. To find the geometric mean of n numbers, we first multiply the numbers and then take the nth root of the product.

From playlist Geometry - GEOMETRIC MEAN

Sketch a Linear Transformation of a Unit Square Given the Transformation Matrix (Shear)

This video explains 2 ways to graph a linear transformation of a unit square on the coordinate plane.

From playlist Matrix (Linear) Transformations

Multiplication by 1/2

From playlist Transformations of the Number Line

Multiplication by 2

From playlist Transformations of the Number Line

Examples Of One Dimensional Linear Transforms

From playlist Transformations of the Number Line

Lie Groups and Lie Algebras: Lesson 22 - Lie Group Generators

Lie Groups and Lie Algebras: Lesson 22 - Lie Group Generators A Lie group can always be considered as a group of transformations because any group can transform itself! In this lecture we replace the "geometric space" with the Lie group itself to create a new collection of generators. P

From playlist Lie Groups and Lie Algebras

Linear Algebra Vignette 1a: Matrix Representation of a Linear Transformation

This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt

From playlist Linear Algebra Vignettes

Live CEOing Ep 522: Design Review of Video & Graphics Features [Final Review]

In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram

From playlist Behind the Scenes in Real-Life Software Design

Addendum to A Swift Introduction to Geometric Algebra

This video is an addendum to my most popular video, A Swift Introduction to Geometric Algebra. It clears up some misunderstandings that have arisen from the original video, and then describes two useful ways of understanding the geometric product. This also leads to a discussion of the o

From playlist Miscellaneous Math

GAME2020 - 1. Dr. Leo Dorst. Get Real! (new audio!)

Dr. Leo Dorst from the University of Amsterdam explains how Geometric Algebra subsumes/extends/invigorates Linear Algebra. More information at https://bivector.net This version has an updated audio track.

From playlist Bivector.net

SIGGRAPH 2022 - Geometric Algebra

The SIGGRAPH 2022 course on Geometric Algebra. by Alyn Rockwood and Dietmar Hildenbrand

From playlist Introductory

AMMI 2022 Course "Geometric Deep Learning" - Lecture 3 (Geometric Priors I) - Taco Cohen

Video recording of the course "Geometric Deep Learning" taught in the African Master in Machine Intelligence in July 2022 by Michael Bronstein (Oxford), Joan Bruna (NYU), Taco Cohen (Qualcomm), and Petar Veličković (DeepMind) Lecture 3: Symmetries • Abstract groups • Symmetry groups • Gro

From playlist AMMI Geometric Deep Learning Course - Second Edition (2022)

Lec 7 | MIT RES.6-008 Digital Signal Processing, 1975

Lecture 7: z-Transform properties Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES6-008S11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT RES.6-008 Digital Signal Processing, 1975

Multiplication by -3

From playlist Transformations of the Number Line

Automating Image Registration | Student Competition: Computer Vision Training

Learn to estimate geometric transforms, apply the transform, and specify image coordinates using panoramic stitching as an example. Get files: https://bit.ly/2ZBy0q2 Explore the MATLAB and Simulink Robotics Arena: https://bit.ly/2yIgwfS -----------------------------------------------------

From playlist Student Competition: Computer Vision Training

Multiplication by -3

From playlist Transformations of the Number Line