You are Here: Home >< Maths

# Question about linear algebra (upper triangular matrices) Watch

1. http://www2.imperial.ac.uk/~mwl/m2p2/M2P210SH9.PDF

How would I do number 1? I know that such a matrix exists because it was proven. But the proof was by induction and I didn't fully understand it. So how do I find this matrix?
2. I'm not sure how you've been taught this, but there are many ways you can do it. For example you can put the matrix in Jordan normal form, or find the eigenvectors and use them as a basis, etc...
3. (Original post by nuodai)
I'm not sure how you've been taught this, but there are many ways you can do it. For example you can put the matrix in Jordan normal form, or find the eigenvectors and use them as a basis, etc...
Wouldn't the eigenvectors method be for diagonalization? If we get the Jordan canonical form then we would have an upper triangular matrix but how do we find the invertible matrix P?
4. P consists of the generalised eigenvectors, arranged in a particular way.

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:
Updated: December 15, 2010
Today on TSR

### Cambridge interview invitations

Has yours come through yet?

### Official Oxford interview invite list

Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

## Groups associated with this forum:

View associated groups
Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.