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

Feb2313 09:24 AM
micromass

1 
35,094 
What's an example of a group that has finitely many generators, but cannot be presented using only finitely many...

Sep412 09:54 PM
DonAntonio

1 
915 
I came across this problem today and haven't been able to figure it out...
Give an example of a vector space V...

Jun1008 11:32 AM
morphism

5 
4,700 
Hi folks,
I know the covariance matrix and the location of a point, both of which are expressed in Cartesian...

Feb812 12:46 AM
Stephen Tashi

15 
2,267 
Could someone please help me with the following question with a guided step by step answer:
Show that T = (x, y, z)...

Sep412 08:53 AM
DonAntonio

1 
739 
HI, I was reading an article and it says that a finite group of order p^aq^b, where p, q are primes, is solvable and...

Jan2812 09:33 AM
MarkovMarakov

2 
1,511 
I am having trouble understanding a section in these notes: . It is on page 3. Section 3  Discretization of the...

Nov2512 07:07 PM
MarkovMarakov

0 
983 
Hi everybody,
I'm new to absract algebra and I really can not understand different between direct sum and direct...

Mar1410 11:58 AM
Landau

9 
7,822 
Does anybody know how to create a orthonormal basis, i.e. a matrix containing orthogonal vectors of norm 1, out of a...

Apr2313 01:26 PM
markuz

2 
496 
Can anyone explain me the problem of the 36officers and the relation to finite fields ???
References to other...

Jul2604 10:36 PM
Hurkyl

3 
2,834 
Simple question that for some reason I can't reason myself through. I'm probably gonna be mad at myself when someone...

Aug310 08:36 PM
marschmellow

7 
1,972 
Is it possible to define positive definiteness as whether or not the matrix transforms any vector such that the...

Nov2910 06:33 PM
marschmellow

0 
1,523 
I'm sure there are a ton of ways to interpret what the transpose of a matrix represents. Could someone just give me a...

Jan2611 04:01 PM
Landau

8 
8,794 
If we're working in R^n and we consider the elements of a basis for R^n to be the column vectors of an nxn invertible...

Nov2611 07:40 PM
HallsofIvy

1 
1,567 
I've seen in multiple sources that a linear transformation constitutes a tensor with one contravariant and one...

Dec1011 09:31 PM
marschmellow

6 
1,965 
Does this concept exist? Google yields weird results that mostly have to do with programming, and Wikipedia says...

Dec3111 02:14 PM
marschmellow

0 
2,188 
Does anyone know exactly what kind of mathematical object a unit (like meters, coulombs, etc.) is? Or what kind of...

Feb2012 07:44 PM
Stephen Tashi

2 
1,225 
hi all~
How to evaluate the performance of a set of nonorthogonal basis?
Like one in Hibert space which is most...

Jul3008 08:52 AM
marshall.L

2 
2,172 
Hello there,
I have trouble understanding why the coefficients in an affine combination should add up to 1; From...

Mar910 04:17 AM
mrbohn1

3 
2,541 
I have array of natural numbers from 1 to n.
They are divided into m groups, where m*(m1)=n.
I need all m1...

Sep2112 05:10 PM
martika

2 
1,563 
How can i prove that square of an integer ends with 0,1,4,5,6,9 ?

Sep109 06:34 AM
HallsofIvy

2 
1,591 
How does the exponential function work

Jun3012 06:23 AM
micromass

2 
877 
This is probably very trivial, but I can't find an argument, why the orthochronal transformations (i.e. those for...

Feb1909 07:02 AM
Fredrik

14 
1,794 
The complexified Lie algebra of the Lorentz group can be written as a direct sum of two commuting complexified Lie...

Oct1409 10:57 PM
aziz113

1 
1,040 
Hello,
it's been a while since i did linear algebra. i need some help. I have this matrix:
1 1 0
0 1 0
0 0...

Mar2512 08:34 PM
HallsofIvy

1 
1,510 
Hi everyone.
Is there any way to set demands on least square solutions?
I have an equation on the form Ax=b,...

Mar2113 07:59 AM
Marvin_MKII

4 
1,000 
Let G be a connected reductive algebraic group over an algebraically closed field of positive characteristic. Let P be...

Aug2210 01:56 PM
masohu

0 
714 
I haven' been able to find good explanations of either of these:
Part 1:
Jordan Normal Form: Is this it?
An...

Dec408 05:42 AM
Master J

2 
1,839 
A Hermitian matrix is a square matrix that is equal to it's conjugate transpose.
Now lets say I have a Hermitian...

May211 03:59 PM
HallsofIvy

1 
1,939 
I'm learning about rings, fields, vector spaces and so forth.
The book I have states:
"Realvalued functions on...

Feb1612 03:54 PM
arkajad

10 
1,988 
The general linear group of a vector space GL(V) is the group who's set is the set of all linear maps from V to V that...

Feb2112 07:54 PM
Deveno

11 
1,676 
In studying vector spaces, I came across the coset of a vector space.
We have an equivalence relation defined as
...

Mar212 02:10 PM
Deveno

9 
1,247 
Wrong thread  delete this.

Aug1407 11:55 PM
matadorqk

0 
5,240 
Theorem
Let A be a square matrix nXn then exp(At) can be written as
exp(At)=\alpha_{n1}A^{n1}t^{n1} +...

Jan2909 10:58 AM
matematikawan

3 
8,410 
I'm trying to understand this paper on the representation of SU(2).
I know these definitions:
A representation of...

Mar2309 12:53 PM
matematikawan

3 
1,158 
I'm trying to understand this paper which the author claimed that he had constructed an infinite dimensional...

Apr609 01:06 AM
matematikawan

6 
1,768 
I have a system of linear equations which can be expressed as XA=Y where X and Y are row vectors. The vector Y and the...

Nov309 08:42 AM
ZannX

5 
2,264 
Matlab help state that the square root of X = \begin{pmatrix} 7 & 10 \\ 15 & 22 \end{pmatrix}
are
A =...

Dec1410 09:19 AM
AlephZero

11 
5,669 
Given n by n matrices A, B, C. I know how to solve the Sylvester equation
AX + XB + C = 0
using the matlab...

Mar2612 03:24 AM
chiro

3 
1,568 
If ##\hat{A}\vec{X}=\lambda\vec{X}## then ##\hat{A}^{1}\vec{X}=\frac{1}{\lambda}\vec{X}##
And what if...

Nov112 10:07 PM
homeomorphic

4 
733 
Linear operator A is defined as
A(C_1f(x)+C_2g(x))=C_1Af(x)+C_2Ag(x)
Question. Is A=5 a linear operator? I know that...

Feb1813 04:42 PM
Fredrik

6 
685 