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

Feb2313 09:24 AM
micromass

1 
30,475 
Hi, I need help with simply starting to prove this. I'm terrible with proofs and even the easy ones are hard for me....

Jul1911 07:01 PM
BWElbert

1 
2,708 
I recently got interested in number theory and have been fiddling around with Scilab trying to find interesting...

Jul1711 02:37 AM
cubzar

8 
4,746 
Hi,
Quick question here: I know that CS inequality in general states that
<x,y> \leq \sqrt{<x,x>} \cdot...

Jul1311 07:57 AM
Lajka

8 
1,718 
Hello,
I'm wondering if there's some nice formula for the expansion of trinomials, like this:
\prod_i \left(y +...

Jul1511 07:04 PM
burritoloco

2 
1,862 
I know you can decompose GL(3,R) into SO(3) x Diag x SO(3), but i was wondering if you could generalise this to a set...

Jul1311 07:09 AM
em12

0 
1,007 
I have a matrix of the form X = , where A and B are matrices of equal dimensions (M x N). I am looking for an elegant...

Jul1511 05:32 PM
chogg

11 
2,326 
I am trying to take the derivative of an
inner product (in the most general sense
over L^2), and was curious if...

Jul1311 06:17 AM
tinytim

1 
2,762 
Hey all,
I was hoping someone could explain to me how to calculate the angle between matrices, ie. two square...

Jul1711 08:36 AM
unusualname

4 
3,820 
I'm trying to learn linear algebra using Schaum's outline and this is one of the practice problems:
Find and...

Jul1311 02:19 PM
cowmoo32

3 
1,301 
I'm reading up on the classification of finitely generated modules over principal ideal domains. In doing so, I...

Jul2411 08:50 AM
lavinia

10 
2,837 
I have observed a strange thing when you modify a sequence of numbers bit by bit.

Jul2011 07:08 PM
ramsey2879

2 
2,512 
Hello. I'm quoting Bertsimas, D., and J. Tsitsiklis, Introduction to Linear Optimization:
"For the purposes of this...

Jul1411 05:46 PM
nancyiskander

0 
1,191 
I forgot why the next statement is true and it's bugging me endlessly...
If p is prime such that p =1 mod 4 then...

Jul2311 06:36 AM
agentredlum

4 
2,436 
So if G = Q8 = <a, b : a^4 = 1, b^2 = a^2, b^{1}ab = a^{1}>
I'm fine with the notion of the derived subgroup G' =...

Jul1611 07:53 PM
micromass

1 
1,751 
I'm looking for the title to a popular introductory book on graph theory. For the best possible recommendation,...

Jul2011 12:02 PM
tbrown122387

3 
1,693 
I have n elements. Say n = 3.
Suppose I have an association matrix that gives the relationship between each...

Jul2411 03:32 AM
Pythagorean

1 
1,279 
Ok, so the title didn't allow me to be too descriptive. Basically, I'm trying to formulate a variant of the time...

Jul1811 10:05 AM
jambaugh

1 
2,077 
I am trying to ultimately find the projector onto a convex set defined in a nonexplicit way, for a seismic processing...

Jul1811 02:02 PM
Squatchmichae

2 
766 
Lemma. A group G of order 6 can have only one element of order 3.
Pf. Suppose G has two elements of order 3. Call...

Jul1811 08:22 PM
Samuelb88

12 
977 
Why is it not possible for a filed to have have two prime fileds one isomorphic to Zp and the other isomorphic to Zq ...

Jul1911 03:11 AM
SteveL27

1 
795 
For a dimension 1 regular semilocal ring, does the Picard group vanish?
What if it is not regular? (and what if I...

Jul1911 09:40 AM
Hurkyl

2 
1,342 
Is there an "easy" method to finding subgroups of finitely generated abelian groups using the First Isomorphism...

Jul1911 12:16 PM
micromass

1 
1,226 
I do not know if this is a common/standard construction, so here is my motivation for this question. From Crystal...

Jul2111 09:06 AM
kdbnlin78

2 
1,656 
I am a physicist, so my apologies if haven't framed the question in the proper mathematical sense.
Matrices are...

Jul2111 06:17 AM
rkrsnan

5 
1,435 
Why is the transpose of a matrix important?
To find the inverse by cofactors we need the transpose but I would never...

Jul2111 08:45 AM
kdbnlin78

2 
1,290 
Hi,
I'm pretty rusty with solving linear equations, my equations are:
ai = bijkcjk
i = 1,... n
j, k = 1,......

Jul2211 12:01 PM
Ben Niehoff

6 
2,156 
Brocard's problem asks to find integer values of n for which
n! + 1 =m^2 .
where n! is the factorial.Probably I got...

Jul2511 09:17 AM
RamaWolf

3 
2,935 
Find the sum of : ^{}0/3] + ^{}1/3] + ^{}2/3] + ^{}3/3] + ^{}4/3] + .... + ^{}2008/3]
where is the greatest...

Jul2511 01:56 AM
Mtoag

18 
3,642 
Given matrices in a vectorspace, how do you go about determining if they are independent or not?
Since elements in...

Jul2211 03:56 PM
n00bot

2 
1,762 
I'm stuck on a problem which asks:
Determine whether W is a subspace of R^3. If W is a subspace, then give geometric...

Jul2211 04:05 PM
HallsofIvy

1 
1,190 
Wikipedia states:
when G splits as direct sum of H and K, then
Aut(H \oplus K) \cong Aut(H) \oplus Aut(K)
...

Jul2311 08:36 PM
arthurhenry

5 
938 
In the context of matrices and linear algebra, what is the general solution ?
Is it the value of the variables that...

Jul2311 02:49 AM
JamesGoh

0 
973 
I can't for the life of me understand this topic. given a point x =(1,1,1,1,1,1,1) and a primal LP, does the point...

Jul2511 03:20 PM
zfolwick

2 
1,678 
I am examining the conjugacy classes of S_5. I know that two elements in S_5 are conjugate if and only if they have...

Jul2511 07:07 PM
micromass

1 
1,788 
I'm reading from Wikipedia:
I thought linear operators always had eigenvalues, since you could always form a...

Jul2611 10:55 PM
psholtz

9 
1,898 
The book I use for linear algebra explains that the motivation for defining a vector space has to do with the Gauss'...

Jul2711 04:01 AM
Tosh5457

3 
1,844 
Hello,
Say we have field (F,+,.) and field extension (E,+,.), then the degree of the field extension (i.e. the...

Jul2611 08:46 PM
nonequilibrium

3 
1,995 
In many areas (say, electrodynamics) we come across expansions of any function in terms of a series of orthonormal...

Jul2611 06:02 PM
Karthiksrao

0 
964 
By F I mean the polynomials with coefficients in field F. By F(X) I mean the rational polynomials.
I have a feeling...

Jul2711 12:16 PM
Bacle

10 
2,096 
Hello,
After a theorem stating that the product, sum, etc of two elements of a field extension that are algebraic...

Jul2711 05:55 PM
nonequilibrium

3 
2,062 