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Diagonalization of matrices | Linear Algebra

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Smart Engineer

Matrix diagonalization is the process of taking a square matrix and converting it into a special type of matrix so called diagonal matrix

00:00 steps to do for diagonalization
01:14 write characteristic equation
03:00 shortcut method to find characteristic equation
07:38 find eigen values
08:30 find eigen vector
10:00 reduce matrix into row echelon form
14:50 write equation from row echelon form matrix
17:50 find eigen vector for repeated eigen values
21:46 solve equation by giving a constant value for 2 variables
25:50 write modal matrix P
33:00 define diagonal matrix D

posted by petimar6u