Similar Matrices and Similarity Invariants | Linear Algebra

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We introduce similar matrices, similarity transformations, similarity invariants, we prove some similarity invariants, prove transitivity of similar matrices, go over how to show 2 matrices are similar given an invertible matrix P that creates the similarity transformation, and do three examples showing matrices aren't similar. #linearalgebra

Proving Similarity Invariants: (coming soon)
Diagonalizing a Matrix:    • Diagonalizing Matrices and Diagonalizabili...  

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0:00 Intro
0:19 Similarity Transformations
0:49 Similarity Invariants
2:14 Proof Similar Matrices have Same Determinant
3:16 Proof Similar Matrices Share Invertibility
4:42 Definition of Similar Matrices
5:21 Symmetry of Similar Matrices
6:24 Transitivity of Similar Matrices
7:38 Showing Two Matrices are Similar
9:41 Showing Two Matrices aren't Similar
11:31 Conclusion