Transformation (function) | Matrices
In linear algebra, linear transformations can be represented by matrices. If is a linear transformation mapping to and is a column vector with entries, then for some matrix , called the transformation matrix of . Note that has rows and columns, whereas the transformation is from to . There are alternative expressions of transformation matrices involving row vectors that are preferred by some authors. (Wikipedia).
Version 1: Find the Dimensions of the Transformation Matrix Given T(x)=b
This video explains how to determine the dimensions of a linear transformation matrix when given T(x)=b.
From playlist Matrix (Linear) Transformations
Introduction to Matrix Transformations
This video defines a matrix transformation, linear transformation and provides example on how to find images of a transformation.
From playlist Matrix (Linear) Transformations
Find the Transformation Matrix Given Two Transformations in R2 Using an Inverse Matrix
This video explains how to use an inverse matrix to find a transformation matrix in R2 given two vector transformations.
From playlist Matrix (Linear) Transformations
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
Find a Transformation Matrix (Standard Matrix) Given a Matrix Transformation: R3 to R3
This video explains 2 ways to determine a transformation matrix given the equations for a matrix transformation.
From playlist Matrix (Linear) Transformations
Linear Algebra for Computer Scientists. 14. 3D Transformation Matrices
Most real time animated computer games are based on 3 dimensional models composed of thousands of tiny primitive shapes such as triangles, and each vertex in a model is encoded as a vector. In this computer science video you will learn how matrices are used to transform these vectors in th
From playlist Linear Algebra for Computer Scientists
Sketch a Linear Transformation of a Rectangle Given the Transformation Matrix (Reflection)
This video explains 2 ways to graph a linear transformation of a rectangle on the coordinate plane.
From playlist Matrix (Linear) Transformations
Identify the Domain and Codomain of a Linear Transformation Given a Matrix
This video reviews how to determine the domain and codomain of a linear transformation given the standard matrix.
From playlist Matrix (Linear) Transformations
Calculating the matrix of a linear transformation with respect to a basis B. Here is the case where the input basis is the same as the output basis. Check out my Vector Space playlist: https://www.youtube.com/watch?v=mU7DHh6KNzI&list=PLJb1qAQIrmmClZt_Jr192Dc_5I2J3vtYB Subscribe to my ch
From playlist Linear Transformations
30. Linear Transformations and Their Matrices
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 30. Linear Transformations and Their Matrices License: Creative Commons BY-NC-SA More informat
From playlist MIT 18.06 Linear Algebra, Spring 2005
I want to help you achieve the grades you (and I) know you are capable of; these grades are the stepping stone to your future. Even if you don't want to study science or maths further, the grades you get now will open doors in the future. Get exam ready for GCSE Maths https://primrosekitt
From playlist Summer Start for A-Level Maths
Math 060 Linear Algebra 16 101514: Matrix Representations of Linear Transformations
Matrix representations of linear transformations on Euclidean spaces; invertible linear transformations; invertible transformations are isomorphisms; matrix representations of linear transformations on finite-dimensional vector spaces
From playlist Course 4: Linear Algebra
Lie Groups and Lie Algebras: Lesson 7 - The Classical Groups Part V
Lie Groups and Lie Algebras: Lesson 7 - The Classical Groups Part V We discuss the matrix interpretation of the metric even more, since it is critical to our understanding of the classical groups. Please consider supporting this channel via Patreon: https://www.patreon.com/XYLYXYLYX
From playlist Lie Groups and Lie Algebras
Linear Algebra 1.8 Introduction to Linear Transformations
My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul
From playlist Linear Algebra
Visualizing Composition of Linear Transformations **aka Matrix Multiplication**
Matrix multiplication is an algebraic operation. But we cared about that algebraic operation because it represented a core geometric idea: the composition of linear transformations. In this video I introduce my favorite way to visualizing Linear Transformations in 2D (dynamically!). We the
From playlist Linear Algebra (Full Course)
Math 060 101817C Matrix Transformations of Linear Transformations
Recall: If linear transformations agree on a basis, then they are equal. Recall: To each matrix A corresponds a linear transformation (left-multiplication by A). Theorem: Every linear transformation between Euclidean spaces corresponds to left-multiplication by some matrix. Example. Ex
From playlist Course 4: Linear Algebra (Fall 2017)
Similarity Transformation and Diagonalization
In this video we investigate similarity transformations in the context of linear algebra. We show how the similarity transformation can be used to transform a square matrix into another square matrix that shares properties with the original matrix. In particular, the determinant, eigenva
From playlist Linear Algebra
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
What is a transformation vector
👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up, down, left or right. The orientation and size of the fi
From playlist Transformations