Hi there guys,

I have tried and tried and tried. I can't seem to get anywhere with these questions, Just wondering if anybody here could help me out!Attachment 26451

Any help would be great! Please and thank you!

Printable View

- Jan 2nd 2013, 11:33 AMAdro232Help solving a couple of questions with Linear Algebra
Hi there guys,

I have tried and tried and tried. I can't seem to get anywhere with these questions, Just wondering if anybody here could help me out!Attachment 26451

Any help would be great! Please and thank you! - Jan 2nd 2013, 11:34 AMAdro232Re: Help solving a couple of questions with Linear Algebra
The matrix A, Being the general one

[a,b

c,d]

Where Tr(A) = a+d and Det(A) is ad-bc - Jan 2nd 2013, 07:10 PMjohngRe: Help solving a couple of questions with Linear Algebra
I think you neglected to mention that A is a 2 by 2 matrix! For any larger matrix, your result is generally false.

For a 2 by 2 matrix, the characteristic equation is:

, and so Cayley Hamilton says

So or with

Don't you know then that this implies ?

The remaining questions should be easy using this form for A inverse.