
Please post any and all homework or other textbookstyle problems in one of the Homework & Coursework Questions...

Feb2313 09:24 AM
micromass

1 
35,949 
Hi, I just want to see if I understood this. Since the geometric product is associative and so on we can write for two...

T 05:16 PM
JonnyMaddox

0 
16 
Dear all,
Please read the text in the attachment. Then......
1)Explain what is meant by "fix k" and "fixed point...

T 11:50 AM
Stephen Tashi

13 
1,884 
Hi,
I'm having a bit of difficulty with the following definition of a linear mapping between two vector spaces:
...

Y 04:55 PM
FactChecker

7 
374 

 
 
 
Hey everyone, I've got a question in elementary group theory.
Suppose we have a group G, and we want to completely...

Y 07:22 AM
micromass

5 
199 
Z = field of integers
.
If R is a ring and k is an element of Z, write kR = {kr  r is an element of R}. It is...

Aug3014 06:08 PM
WWGD

4 
312 
Hi all,
I was asked by someone today to explain the notion of linear independence of a set of vectors and I would...

Aug3014 05:12 PM
WWGD

15 
254 
How can we deform a given Lie algebra? In particular, in the attachment file how can we arrive at the commutation...

Aug2814 04:49 PM
Greg Bernhardt

1 
274 
hello every body.
may i know what is the difference between geometric product and tensor product ?

Aug2714 07:48 PM
mikeeey

2 
197 
Is (x^1) = (x)^1 true for all nonzero x in any ring, where x^1 denotes the multiplicative inverse of x?

Aug2614 02:25 PM
1MileCrash

20 
546 
I've seen it often taught that the combination of two vectors is their graphical sum, but I think that there is a...

Aug2314 07:18 PM
mfb

4 
360 
I am trying to self study linear algebra. This might seem like a very silly question but what does
R subscript 3 mean...

Aug2214 10:58 AM
HallsofIvy

4 
300 
Hi,
I have an ordinary least squares setup y = Ac where A is an NxM (N>>M) matrix, c the unknown coefficients and y...

Aug2114 03:11 PM
mfb

9 
518 
I am somewhat confused with the connection between the two groups.
In the text I'm reading (An Introduction to...

Aug2114 11:00 AM
HomogenousCow

7 
339 
Hi everybody,
do you have an efficient method for build up a vector with random components which is perpendicular...

Aug1914 10:07 AM
Chandrasekhar

6 
311 
Can anyone explain the idea behind Hadlock's proof that there is an Sn for every poly of degree n? Theorem 37 page...

Aug1914 09:59 AM
Ray

3 
414 
Hello again PF!
I had a question on singular value decomposition. My question relates to a pepper I have been...

Aug1814 11:51 PM
AlephZero

10 
479 
Hi all,
Just doing a bit of personal study on vector spaces and wanted to clear up my understanding on the...

Aug1814 06:42 AM
"Don't panic!"

2 
296 
This lemma the book states, I can't make sense of it.
Lemma: If a,b\in Z and b > 0, there exist q,r \in Z such that...

Aug1614 02:11 PM
lants

3 
252 
The killing form can be defined as the twoform ##K(X,Y) = \text{Tr} ad(X) \circ ad(Y)## and it has matrix components...

Aug1514 10:23 AM
Pond Dragon

2 
459 
I've found this paper: Closed Expressions for Lie Algebra Invariants and Finite Transformations and I've attempted to...

Aug1414 11:20 PM
Greg Bernhardt

1 
442 
Hi, 2forms are defined as
du^{j} \wedge du^{k}(v,w) = v^{j}w^{k}v^{k}w^{j} = \begin{vmatrix} du^{j}(v) &...

Aug1414 11:20 PM
Greg Bernhardt

1 
450 
Dear Friends,
Please tell me the differences created in ring theory problems when
1.Unity is taken in integral...

Aug1414 08:27 PM
jbunniii

3 
291 
I have a non symmetric matrix AB where A and B are symmetric matrices. How can I find the eigenvectors and eigenvalues...

Aug1414 06:17 PM
dmytro

1 
271 
In the US, food products have an ingredient list and a "Nutrition Facts" panel.
The ingredient list lists all...

Aug1414 11:36 AM
Stephen Tashi

3 
283 
Why do we need fields (Why do we define fields?)for linear algebra?

Aug1414 12:45 AM
homeomorphic

10 
358 
hey pf!
can you help me understand what an adjoint operator is? i've read lots of threads and other sites, but am...

Aug1314 10:50 PM
Fredrik

10 
419 
(I don't like the title, since it is a bit misleading. But, I couldn't think of a more descriptive title that fit in...

Aug1314 01:55 PM
Nick O

2 
430 
Let e_i be a unit vector with one 1 in the ith element. Is the following expression has a recursive presentation?
...

Aug1314 10:43 AM
regina_lee

2 
324 
I heard about fast tridiagonal matrix algorithm. I tried to find what is it but I can only find tridiagonal matrix...

Aug1214 05:21 AM
Shyan

2 
875 
Hi all, I have been searching around and cannot seem to find an answer. I am doing a past paper, and have the answers...

Aug1114 03:21 PM
mathman

1 
416 
Quick version:
I have a vector field f:\mathbb{R}^n\oplus\mathbb{R}^m \to \mathbb{R}^n of two arguments x \in...

Aug1114 07:11 AM
dmytro

3 
490 
Could anyone help me solve this problem?
Let A,B be two subspace of V, a \in A, b \in B. Show that the following...

Aug714 06:51 AM
schw

2 
397 
Hi,
Just wondering when using the Euclidean Algorithm to find gcd of 4+7i and 1+3i. Where does 2 and 2+i come from...

Aug714 12:11 AM
mathwonk

6 
420 
There are two "formal" definitions of vectors (and tensors in general) which I've learned.
The first is what I...

Aug314 06:09 AM
Fredrik

17 
752 
While studying YangMills theory, I've come across the statement that
there exists a positivedefinite inner product...

Aug214 11:49 PM
Terandol

3 
503 
The killing form on a lie algebra is defined as
$$B(X,Y) = \text{Tr}ad_X \circ ad_Y$$
where ##ad_X: \mathfrak{g} \to...

Aug214 10:34 AM
WWGD

7 
1,998 
Hello, my problem is the following:
A lasers gives out a bunch of data points which are reflected off a metal...

Aug114 01:48 PM
chogg

2 
432 
Hi PF!
Can you please tell me why it is beneficial to use SVD in data processing? My understanding is, given a lot...

Jul3014 01:54 PM
Stephen Tashi

10 
685 
Hello. I need some help. I am not a math wizard by any means, but I find myself in need of math right now. I have...

Jul3014 07:58 AM
Erland

15 
879 