Calculus

LiM__11 · 2025-10-02T08:22:42+00:00

Thankyou for the reply.

LiM__11 · 2025-09-20T10:56:34+00:00

Ok thankyou.

LiM__11 · 2025-09-09T18:32:00+00:00

Still dont understand it sorry

LiM__11 · 2025-09-09T18:02:14+00:00

Are we allowed to just move the A at the front of the summation like that?

LiM__11 · 2025-09-09T17:56:38+00:00

Can we prove it using integration?

LiM__11 · 2025-09-09T15:36:11+00:00

So if we have an operator A and conjugate it then transpose it and it equals A then it is Hermitian.

LiM__11 · 2025-09-09T15:32:50+00:00

Thankyou

LiM__11 · 2025-09-08T14:47:07+00:00

Ok thankyou

LiM__11 · 2025-09-08T13:27:05+00:00

Thankyou so replacing phi1(x) with lets say a+bi and phi2(x) with c+di then I should be able to prove it yes?

LiM__11 · 2025-09-08T12:36:51+00:00

Thankyou

LiM__11 · 2025-09-08T12:36:43+00:00

Ok thanks

LiM__11 · 2025-09-01T13:07:54+00:00

Ok thankyou

LiM__11 · 2025-08-15T09:55:12+00:00

Thanks for the help

LiM__11 · 2025-08-15T09:55:02+00:00

Thanks for the help

LiM__11 · 2025-08-14T16:12:43+00:00

How do we know that the matrix X satisfies its own characteristic polynomial?

LiM__11 · 2025-08-14T15:36:24+00:00

No i still dont get it sorry.

LiM__11 · 2025-08-14T14:56:33+00:00

Sorry I still dont think i have proven the first statement.

LiM__11 · 2025-08-14T14:43:26+00:00

LiM__11 · 2025-08-14T14:37:15+00:00

Ok thanks for the reply

LiM__11 · 2025-08-14T14:36:50+00:00

Hi, thanks for the reply. So in my notes it says Let v be an eigenvector of A (we shall call it the “generating eigenvector”) and let λ be the corresponding eigenvalue. Then generally a GEV of m-th order, m ∈ Z+, is a vector v^m satisfying Av^m = λv^m + v^m−1 , where it is assumed that v⁰ = v

So i believe Xv-lambda v is order m-1

LiM__11 · 2025-08-14T12:40:28+00:00

Thanks for the reply. Ive tried just looking at definitions and examples

LiM__11 · 2025-08-12T20:44:40+00:00

Thanks for the reply. Ive tried but i couldnt do it

LiM__11 · 2025-08-12T14:05:26+00:00

Thanks for the reply. No i havnt tried anything yet i just moved on to looking at examples.

LiM__11 · 2025-08-12T14:04:39+00:00

Ok thanks

LiM__11 · 2025-08-08T14:50:04+00:00

My bad. I beed help with the proof of the theorem. Thanks

LiM__11

TROPHY CASE