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

Feb2313 09:24 AM
micromass

1 
35,962 
Hey I have a problem in which I need to show that a linear transformation is an isomorphism with another linear...

Oct2013 04:10 PM
Axiomer

1 
621 
I'm slightly confused by definition of normalises.
It's shown in my notes that for two subgroups H, K of G we have...

Oct1913 01:39 PM
Silversonic

0 
569 
Hi. I dont understand the following proof.
Lemma
Let p be a prime number and 1<=k<=p1, then:
{p \choose k}...

Oct1913 12:59 PM
Max.Planck

6 
652 
So I been working with quaternions as you all know. I get them basically, but to really understand their rotation...

Oct1913 12:53 AM
Simon Bridge

1 
644 
Consider two square matrix A,B each specifying a parallelopiped by three different vector. The x, y, z components are...

Oct1813 12:11 PM
ajayguhan

14 
1,134 
I know that 3 x 3 determinant gives the volume of a parallelopiped, but how come after the row operations also it's...

Oct1713 09:00 AM
HallsofIvy

3 
890 
Is the title statement true?
Was doing some studying today and this caught my eye, haven't looked into linear...

Oct1613 10:12 AM
HallsofIvy

3 
2,512 
Correct me if I'm wrong here but it is my understanding that vector spaces are given structure such as inner products,...

Oct1513 10:32 PM
economicsnerd

15 
8,028 
Let A be a Hermitian operator with n eigenkets: Au_i\rangle = a_i u_i\rangle for i=1,2,...,n.
Suppose B is an...

Oct1513 04:40 PM
dextercioby

6 
1,361 
Please do not be offended by my literary style. I find thinking about mathematical problems in such a way helps me...

Oct1513 07:01 AM
electronicengi

9 
5,163 
I'm trying to really solidify my maths knowledge so that I'm completely comfortable understanding why and how certain...

Oct1413 02:33 PM
UltrafastPED

6 
2,598 
Hi, I've Read an Article That Says:
If:
EQ.1:...

Oct1413 07:10 AM
MohammadZa

2 
2,275 
The following inequality can easily be proved on ##ℝ## :
## xy \leq xy ##
I was wondering if it...

Oct1213 08:28 PM
HallsofIvy

2 
1,059 
How would I construct noncyclic groups of whatever order I want? For example g is order 8.

Oct1213 08:05 PM
lavinia

5 
6,205 
Hi all,
Suppose I have a system which can be described using something like:
y(t) = a_1 x(t) + a_2 x^2(t) +...

Oct1013 08:37 PM
divB

6 
1,111 
Hi
Lets say I have a vectorspace in Rn, that is called V.
V = span{v1,v2,..... vk}
Is it then possible to...

Oct1013 07:56 PM
Bipolarity

7 
5,805 
Hey all, I'm trying to understand the Capon Method for some reading into MIMO radar and went to the original source ...

Oct1013 06:47 PM
jasonRF

6 
2,148 
This question broadly relates to principle component analysis (PCA)
Say you have some data vector X, and a linear...

Oct1013 12:41 PM
Trentkg

4 
1,425 
Hello. So today in class, we talked a bit about <g> as the set of all integer powers of g. Made enough sense. Then we...

Oct1013 03:41 AM
Convergence

1 
638 
Consider the 4x4 matrices
A =
(1 2 3 4)
(5 6 7 8)
(9 10 11 12)
(13 14 15 16)
B=
(1 2 3 4)

Oct913 03:36 PM
Office_Shredder

1 
666 
According to wikipedia, absorption is an axiom for a boolean algebra. This seems incorrect to me, since I believe...

Oct913 02:48 PM
mfb

3 
837 
Hey everyone
Let's say I have two generators, a and b, with the following relations:
a^{5}=b^{2}=E...

Oct813 07:40 PM
lavinia

26 
3,722 
Hey guys!
Basically, I was wondering how to prove the following statement. Ive seen it in the Hamermesh textbook...

Oct713 07:47 PM
Dixanadu

4 
1,830 
hey all
well the title says it all. if i want to take the cross product of two matrices, how do i do it? any help,...

Oct713 06:42 PM
joshmccraney

3 
1,062 
Hi,
I was wondering what the quickest set of vectors in higher dimensions, say ℂ5?
I have a set of vectors {...

Oct513 11:32 AM
epenguin

11 
7,893 
I posted this question over at the QM page,
http://www.physicsforums.com/showthread.php?t=714076
but I realized...

Oct413 10:53 PM
sokrates

3 
1,727 
hey all! does anyone recommend any books or websites that cover tensor (matrix) properties and explanations of the...

Oct413 01:21 AM
joshmccraney

0 
1,452 
Hello,
How am I to find then number of independent equations in a set using matrix techniques?
Thanks

Oct213 12:09 AM
Woopydalan

5 
2,497 
Suppose that some infinite set S spans V. Then this means every vector in V is expressible as some linear combination...

Oct113 05:16 PM
jbunniii

3 
1,410 
I am currently taking a number theory course. The professor who teaches the course is very well known in his research...

Oct113 02:58 PM
DeadOriginal

10 
9,459 
I'm having some set theoretic qualms about the following argument for the following statement:
Let V be a vector...

Sep3013 10:42 PM
Office_Shredder

11 
3,756 
Is there any finite dimensional Lie algebra that is not isomorphic to any of the subalgebras contained in GL(n) ?

Sep2913 10:49 AM
Office_Shredder

1 
862 
I am curious:
if f and g are (complex) orthogonal functions, are f* and g also orthogonal? (* denotes complex...

Sep2913 10:27 AM
economicsnerd

2 
764 
okay so I know that the area of the triangle is half the area of the parallelogram, ill try using pictures because...

Sep2913 09:50 AM
SteamKing

1 
1,226 
hello everyone..
if we have a function y=f(x) then inorder to prove linearity we try to justify according to...

Sep2813 04:55 PM
shivaniits

4 
884 
given an sop form of a multi variable boolean expression, how to judge if it is linear or not?
is (x or y) linear? ...

Sep2713 05:22 PM
Erland

5 
1,929 
If AB is invertible, then A and B are invertible for square matrices A and B.
I am curious about the proof of the...

Sep2713 02:57 PM
Erland

14 
8,775 
Hello,
Just discovered this forum as I'm so intensely curious about this question I sought out just such a place!
...

Sep2413 03:12 PM
Erland

2 
1,415 
In his interesting book "Moonshine beyond the Monster", Terry Gannon proposes the interesting thought
He notes...

Sep2213 06:37 PM
nonequilibrium

0 
1,301 
I am not sure that this is the correct forum for this question.
I have multiple sets of 3, 3D (x, y, z) points in...

Sep2213 01:17 PM
Stephen Tashi

4 
1,404 