You are Here: Home >< Maths

Diagonalisation and Eigenvectors

Announcements Posted on
TSR's new app is coming! Sign up here to try it first >> 17-10-2016
1. Hey,

When finding a matrix P such that D=P-1ATP, where D is a diagonal matrix.

I found the eigenvalues of AT and the corresponding eigenvectors. When forming the matrix P, does it matter which order I place the eigenvectors in as the columns?

I found a diagonal matrix D, which was different than the one given in the solutions. Will this matter? Or will any diagonal matrix formed with the correct eigenvectors be fine?

Thanks

Jamie
2. It does not matter, as long as your eigenvalues and corresponding eigenvectors are correct (and of course the final matrix D is diagonal).
3. (Original post by Math12345)
It does not matter, as long as your eigenvalues and corresponding eigenvectors are correct (and of course the final matrix D is diagonal).
Thank you
4. (Original post by Math12345)
It does not matter, as long as your eigenvalues and corresponding eigenvectors are correct (and of course the final matrix D is diagonal).
Correct me if I'm wrong but I thought the corresponding eigenvectors have to be in the same column as the eigenvalues in D.

So if D=

2 0
0 -3

Then the eigenvector corresponding to the eigenvalue 2 would have to be the first column of P and likewise with -3.
5. (Original post by poorform)
Correct me if I'm wrong but I thought the corresponding eigenvectors have to be in the same column as the eigenvalues in D.

So if D=

2 0
0 -3

Then the eigenvector corresponding to the eigenvalue 2 would have to be the first column of P and likewise with -3.
Yes that is right. Sorry if I didn't mention it above.

Register

Thanks for posting! You just need to create an account in order to submit the post
1. this can't be left blank
2. this can't be left blank
3. this can't be left blank

6 characters or longer with both numbers and letters is safer

4. this can't be left empty
1. Oops, you need to agree to our Ts&Cs to register

Updated: April 19, 2016
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Today on TSR

How does exam reform affect you?

From GCSE to A level, it's all changing

Poll
Useful resources

Maths Forum posting guidelines

Not sure where to post? Read here first

How to use LaTex

Writing equations the easy way

Study habits of A* students

Top tips from students who have already aced their exams

Chat with other maths applicants