Khan Academy
Khan Academy: Linear Algebra: Preimage of a Set
Video first reviews what the image under a transformation is and then introduces the concept of preimage. [5:23]
Khan Academy
Khan Academy: Linear Algebra: Linear Transformations
Video first gives the conditions that define a linear transformation. Gives examples of determining if a transformation is linear or not. Shows several types of notation for vector transformations. [13:52]
Virtual Nerd
Virtual Nerd: What Is a Transformation?
Transformations allow you to change or move a figure. Learn about all the different kinds of transformations by watching this tutorial. [4:18]
Khan Academy
Khan Academy: Linear Algebra: Compositions of Linear Transformations 2
Video shows that the transformation matrix of the composition of linear functions is the product of the transformation matrices of each linear transformation in the composition. [16:30]
Khan Academy
Khan Academy: Transformations and Matrix Multiplication
Providing the motivation for definition of matrix products in this short video.
Khan Academy
Khan Academy: Determining Whether a Transformation Is Onto
Shows how to determine if a linear transformation is onto by showing that the columns of the transformation matrix span the co-domain.
Khan Academy
Khan Academy: Image of a Subset Under a Transformation
Exploring what happens to a subset of the domain under a transformation
Khan Academy
Khan Academy: Similar Shapes & Transformations
This video lesson demonstrates how to determine whether given polygons are similar by trying to map one onto the other. The instructor uses angle-preserving transformations in this process.
Khan Academy
Khan Academy: Linear Transformation Examples: Scaling and Reflections
Creating scaling and reflection transformation matrices (which are diagonal).
Khan Academy
Khan Academy: 6. Composite Transformations
Time to get a little mathy. Let's look at the general form for any transformation.
Khan Academy
Khan Academy: Sequences of Transformations
Determining whether segment lengths and angle measures are preserved under a given sequence of transformations.
Khan Academy
Khan Academy: Defining Transformations
Given a description of the effect of a certain transformation, we determine whether that transformation is a translation, a rotation, or a reflection.
Sophia Learning
Sophia: Up and Down Transformations: Lesson 3
This lesson explains how the graph of a function may be shifted up or down. It is 3 of 5 in the series titled "Up and Down Transformations."
Sophia Learning
Sophia: Up and Down Transformations: Lesson 5
This lesson explains how the graph of a function may be shifted up or down. It is 5 of 5 in the series titled "Up and Down Transformations."
Sophia Learning
Sophia: Up and Down Transformations: Lesson 1
This lesson explains how the graph of a function may be shifted up or down. It is 1 of 5 in the series titled "Up and Down Transformations."
Shmoop University
Shmoop: Transformations
Explore reflections, rotations, and translations across a coordinate grid. [2:08]
Sophia Learning
Sophia: Dilations Are Transformations
Dilation transformations are explored and related to translations and reflections in this video lesson. [3:12]