We introduce elementary matrices. An elementary matrix is a matrix that can be obtained from an identity matrix by one elementary row operation. We'll see that an elementary matrix can be multiplied by another matrix A to effect the same row operation that created it upon A. Also, elementary matrices are invertible and we see several examples.
0:00 Intro
0:41 Definition of Elementary Matrix
0:53 Examples of Elementary Matrices
1:59 Non-Examples of Elementary Matrices
3:15 Row Operations by Multiplication
5:50 Inverses of Elementary Matrices
8:17 Outro
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