Matrices - Eigenvalues/vectors/diagonalisation

The method of diagonalisation using eigenvalues and eigenvectors with examples

Category:

Education

Tags:

• matrices
• matrix
• diagonalise
• diagonaliseable
• eigenvalues
• eigenvectors
• york
• university
• maths
• mathematics
• help
• lectures

[Ashbearify]

Can you tell me... What are the strengths and limitations of using diagonalisation of matrices.

[burny1]

@Ashbearify They are good at solving functions as in this video /watch?v=JC3KmZGkc9w . However if there are a large number of variables and/or a large matrix it is very difficult without the use of a computer to solve the simultaneous equations. Not to mention finding the determinant becomes time consuming also. But for smaller matrices it can be quite simple.

[orpawil]

from where did u get x1 times the metrix (1,1) at 4:56 minutes ?? 

[burny1]

@orpawil i'm just taking the x1 out of the eigenvector (x1,x1) we have found so x1 can just multiply to be anything. eg we could say it is 2 and use (2,2). because we decided that inorder for (A-I)x=0 x needs to have both x1 and x2 same

[magiccomputer]

i have a question only eigen values and eigen vector not diagonalisation.

[burny1]

i dont understand your question sorry. diagonaliseation is at the end of the video

[Ninjarni]

what just happened...? fairly unclear explanation

[FistsofVengeance]

thanks for sharing mate

[VanillaShoelace]

wats a vekter

[hitman122967]

OMG....THANK YOUUUUU SOOO MUCH.... u just save my ass before my midterm exam ^_^

[cmmadnat]

Thank you very much. i'll have an exam about this tomorrow, on my Information Retrieval Course, this eigenvalues and eigenvectors cause me a very hard time!

[mcgooo1]

thanks a lot man you helped me a lot!!