We introduce matrix transformations and their equivalence with linear transformations from R^n to R^m. We'll give examples of linear transformations, see some important properties of matrix transformations including the homogeneity property and additivity properties. We'll also see functions that aren't matrix transformations and we will prove they aren't matrix transformations. We finish by going over how to find the standard matrix for a linear transformation. #linearalgebra
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0:00 Intro
0:20 What is a Matrix Transformation
4:45 Example of Matrix Transformation
6:30 Properties of a Matrix Transformation
7:58 Transformations of Linear Combinations
8:46 Non-Examples of Matrix Transformations
10:58 Two Key Questions
11:23 Homogeneity and Additivity
11:49 Linear Transform
12:30 Finding Standard Matrix for a Linear Transformation
13:35 Standard Matrix Example
15:15 Conclusion
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