Diagonalization of matrices | Linear Algebra

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

[AnilPulaveni]

Thanks for well explaining the diagonal matrices..

[NiragireJeanclaude-fmvl]

How to find angle 1 to according those equation Tellus in short ward

[patrobahchebet]

Thank you, ,,, it's awesome understood from Kenya 🤗🤗

[deepakpatel]

Thank Mate.... It helped a Lot ❤️❤️❤️❤️

[hdgl]

Thanks bud. I was literally confused when to use the special case.

[yetohemmanuel]

|A| = 36 not 32 check well. Your tutorial is great

[nehasrinivas]

Sir actually we want three eigen values but Casio is showing only three values how we want right third value sir please reply sir please

[sreelatha.r]

Sir what should we do if it is asymmetric at last

[venkateshkonda]

Sir if they give this question for 12marks then how many marks will get if we do this method sir

[guzelahmad]

موجودين عرب احد يفهمني القيم ذاتية كيف تم استخرجها بالحاسبة

[mihaipuiu]

Sir engineer you sure are a smart guy, but your writing makes me cry.Sorry, or your pen is wrong? A nice writing will be a plus for me as student firstly, and maybe for you.Thanks.