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

Feb2313 09:24 AM
micromass

1 
36,244 
So pretty frequently I encounter questions like
a) Are these vectors linearly independent?
b) Do they span all...

T 01:20 PM
Stephen Tashi

4 
145 
Hi,
Are there any rules against multiplying or adding first when using modulo #?
The reason I ask is because I'm...

Sep1514 07:13 PM
WWGD

3 
196 
I was wondering what the difference is between the two. Would be nice if someone could explain the difference in...

Sep1514 04:41 PM
WWGD

4 
177 
In Lang's book,page 3940, he factorizes ##F_{ab}(M)## with respect to the subgroup generated by all elements of type...

Sep1514 01:54 PM
xiavatar

5 
196 
So I had a quiz on Wednesday and got the problem wrong but don't know why. The question is:
Use elementary row...

Sep1414 10:45 AM
JohnPrior3

4 
177 
Any comments or feedback on this theorem and proof are appreciated, including improvements and past publications. ...

Sep1314 03:16 AM
PCM72

3 
766 
Hi, how can I compute the general solution of a system of linear equations? Nonesquare systems for example. I have...

Sep1214 03:19 PM
JonnyMaddox

1 
258 
Let R be a local ring with maximal ideal J. Let M be a finitely generated Rmodule, and let V=M/JM. Then if...

Sep1014 06:58 AM
Artusartos

0 
202 
Hi all,
I've been doing some independent study on vector spaces and have moved on to looking at linear operators,...

Sep1014 03:42 AM
"Don't panic!"

5 
334 
I was reading the finite element method in engineering by Rao and in the first example he ends up with a matrix that...

Sep814 11:53 PM
Chacabucogod

3 
286 
Dear all,
Please read the text in the attachment. Then......
1)Explain what is meant by "fix k" and "fixed point...

Sep814 12:18 PM
Stephen Tashi

17 
2,151 
I don't know if this is the correct section for this thread. Anyway, I'm taking a graduate course in General Relavity...

Sep814 11:03 AM
TrickyDicky

19 
581 
why the metric tensor is the dot product of two basis (covariants or contravariants)
if it's a tensor then the...

Sep714 03:49 PM
mikeeey

6 
309 
I'm just trying to understand from a linear algebra standpoint how they define dot product from the inner product and...

Sep614 07:37 AM
Incnis Mrsi

15 
445 
Following on from a previous post of mine about linear operators, I'm trying to firm up my understanding of changing...

Sep414 04:42 PM
"Don't panic!"

2 
255 
Hello. Nice to meet you. I have just enrolled. :)
I knew how to solve and to find out inverse Matrix by using...

Sep314 10:59 AM
shuiki0306

2 
328 
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...

Sep314 10:07 AM
Incnis Mrsi

5 
508 
How can we deform a given Lie algebra? In particular, in the attachment file how can we arrive at the commutation...

Sep314 09:58 AM
Incnis Mrsi

2 
475 
Hey everyone, I've got a question in elementary group theory.
Suppose we have a group G, and we want to completely...

Sep314 09:09 AM
Incnis Mrsi

6 
392 
Hi,
I'm having a bit of difficulty with the following definition of a linear mapping between two vector spaces:
...

Sep314 07:28 AM
Incnis Mrsi

8 
609 
Hi, I just want to see if I understood this. Since the geometric product is associative and so on we can write for two...

Sep314 07:00 AM
stevendaryl

3 
375 
I have a non symmetric matrix AB where A and B are symmetric matrices. How can I find the eigenvectors and eigenvalues...

Sep314 06:49 AM
Incnis Mrsi

2 
475 
(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...

Sep314 06:40 AM
Nick O

4 
611 
I am somewhat confused with the connection between the two groups.
In the text I'm reading (An Introduction to...

Sep214 11:30 PM
Incnis Mrsi

8 
555 
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 
464 
hello every body.
may i know what is the difference between geometric product and tensor product ?

Aug2714 07:48 PM
mikeeey

2 
387 
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 
850 
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 
563 
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 
485 
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 
690 
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 
499 
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 
580 
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 
669 
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 
460 
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 
416 
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 
639 
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 
613 
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 
622 
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 
465 
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 
448 