Diagonal Matrices and their Properties | Linear Algebra

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We introduce the definition of a diagonal matrix. We'll see examples and nonexamples of diagonal matrices and look at some nice properties of diagonal matrices which make matrix operations with diagonal matrices easy to carry out. We consider powers of a diagonal matrix, inverses of diagonal matrices, and matrix products with diagonal matrices. A diagonal matrix is a square matrix where all off diagonal entries are zero. #linearalgebra

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0:00 Intro
0:10 Definition
0:34 Examples of Diagonal Matrices
1:29 Non-Examples of Diagonal Matrices
1:50 General Diagonal Matrix
2:04 Inverse of Diagonal Matrix
4:19 Powers of Diagonal Matrix
4:40 Operations with Diagonal Matrix
6:02 Diagonal Matrix Multiplication
8:40 Conclusion

Видео Diagonal Matrices and their Properties | Linear Algebra канала Wrath of Math Lessons