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

Feb2313 09:24 AM
micromass

1 
30,530 
Hello,
This is not a homework exercise, so I decided to post it here. Hopefully one of you could help.
I would like...

Nov1912 03:03 PM
micromass

1 
816 
For any A \in \mathcal{R}^{n \times m}, does A^T A have an inverse?
From the wikipedia article for transpose (...

Nov1912 12:09 PM
D H

5 
850 
hi ,
I met lot's of binary operation which is associative and commtative and I also met lot's of binary operation...

Nov1912 07:10 AM
Dead Boss

5 
1,061 
I am curious about under what conditions the powers of a square matrix can equal the identity matrix.
Suppose that...

Nov1912 01:26 AM
Norwegian

3 
1,137 
In your opinion. Or feel free to quote some people on their views of the answer.

Nov1812 07:56 PM
micromass

17 
3,206 
Hi!
I just need a "yes" or "no" answer.
If i have to show that two lie algebras are isomorphic,
is it...

Nov1812 06:54 AM
parton

2 
758 
I have this problem:
1. θ is 0, θ1]T and θreplicated = 0, θ0, θ1, θ1]T, further θ is a gaussian with mean mθ and...

Nov1812 05:31 AM
quantumlight

0 
590 
I have created a program in javascript that has tested integers on the collatz conjecture.
Recall that the collatz...

Nov1712 12:26 PM
phillip1882

1 
1,770 
Hello,
Would it be correct to say that if for every two different vectors x and y, A*x ≠ A*y (where A is a...

Nov1612 03:57 PM
AlephZero

8 
1,065 
I'm doing my senior project about Compressed sensing, I have some problems with some algorithms.
1)Can any body help...

Nov1612 09:14 AM
giaoduong

1 
773 
Hi all,
I have a linear algebra question relating actually to control systems (applied differential equations)
...

Nov1612 09:07 AM
X89codered89X

1 
739 
So I was working through some problems in Herstein's Algebra on my own time, and I came across something I wasn't so...

Nov1512 11:00 PM
mathwonk

8 
2,001 
Let k\in\mathbb{N}, and q be a prime factor of F_{k}=2^{2^{k}}+1.
Deduce that gcd(q1,2^{k+1})=2^{k+1}.
...

Nov1512 11:49 AM
TaliskerBA

1 
1,458 
I need help or direction on how to prove that if A = S^2  (T^2 + T)/2 Then 8A1 can not be factored into the form B*C...

Nov1512 07:41 AM
Norwegian

4 
1,787 
Is there one?
I know A= and A1=
So I know that A and A1 have the same eigenvalues, I know that this is not...

Nov1412 04:57 PM
BrainHurts

7 
1,331 
Hi, Algebraists:
Say V is finitedimensional over F . Is there more than one way of defining the
action of F on...

Nov1412 04:19 PM
Erland

1 
759 
Suppose that M and N are natural numbers, such that N>M1.
Prove that N≥M
The problem above is a rather minor...

Nov1412 09:28 AM
Vargo

6 
1,634 
Hey!
I have a certain problem. Let M ≥ 4 be an even number and consider the set \frac{M}{2}1]. The problem is to...

Nov1312 12:36 PM
Constantinos

0 
754 
I am wondering about the relation betwen RRE forms and identity matrices. Consider the reduced row echelon form of any...

Nov1312 10:00 AM
Erland

8 
1,540 
The CantorSchreuderBerstien theorem states that if there exists a onetoone function from X to Y and the reverse...

Nov1312 02:42 AM
micromass

4 
804 
What is the best way of introducing determinants on a linear algebra course? I want to give real life examples of...

Nov1212 09:31 PM
mathwonk

3 
850 
I am trying to understand the quantum algorithm for order finding, but I can't find the proof anywhere. Can anyone...

Nov1212 08:18 PM
jhendren

1 
1,262 
So I've been reading a bit about automorphisms today and I was wondering about something. I'm particularly talking...

Nov1212 08:12 PM
Zondrina

6 
908 
the polynomial x^4+8x+12=0 has the Galois group A4. I have all its roots, but can't figure out its splitting field. ...

Nov1212 06:55 PM
Jim Kata

7 
1,053 
Hi, this is not a homework problem, i just have a hard time following the sequence of this
In the book , it shows a...

Nov1212 05:50 PM
mickles

4 
1,427 
Hi,
I need help in the following demonstration:
If (m,n)=d then \Phi(mn)=\frac{d}{\Phi(d)}\Phi(m)\Phi(n)
...

Nov1212 05:04 PM
PiAreSquared

1 
1,080 
I'm trying to understand a process called order finding as I need to know it for Shor's algorithm in quantum...

Nov1212 03:31 PM
Erland

2 
1,556 
Consider θ:Z > Z is a mapping where θ(n) = n^3 and it's homomorphism under multiplication. In this case, it's not a...

Nov1212 02:28 PM
Turnyface

9 
814 
Hello everybody
I have to show that this set of vectors a = (et, eit, et, eit ) is linearly independent.
My...

Nov1212 12:08 PM
Vargo

2 
989 
Hi, All:
Let V be a finitedimensional space, which can be decomposed as:
V=Z(+)W . How can we express the...

Nov1212 11:53 AM
Vargo

1 
707 
I understand how to find an implicit description if given the span of, say, two vectors. How do I go about finding an...

Nov1112 11:38 AM
hogrampage

4 
1,049 
f(x) will give us the smallest integer m such that y^m \equiv 1 \bmod{x} given that x and y are coprime
how would...

Nov1112 05:30 AM
dodo

6 
2,042 
I can't seem to make head or tail of the description of direct and inverse limits of abelian groups in problems 8 and...

Nov1012 07:47 PM
mathwonk

2 
918 
How should one prove that the integers form a commutative ring? Im not sure exactly where to go with this and how much...

Nov1012 03:22 PM
Square1

2 
846 
My prof uses this all over his notes, and I'm still not 100% sure what he means by it:
CB
or
BB
From what...

Nov1012 02:15 PM
Stephen Tashi

1 
677 
I was wondering if there are any theorems that specify an exact number of subgroups that a group G has, maybe given...

Nov912 02:42 PM
Vargo

1 
840 
As part of a larger problem involving classifying intertwining operators of two group representations, I came across...

Nov812 01:54 PM
Vargo

2 
989 
Ok, so I understand that a vector space is basically the span of a set of vectors (i.e.) all the possible linear...

Nov812 01:51 PM
Vargo

9 
944 
Hi,
I want to whether there is a function (/matrix) such that it can generate a mdimensional vector such that this...

Nov812 08:13 AM
mathwonk

1 
953 
Very much a beginner in maths and broadening my horizons. I have a series of polynomials that I was hoping to get some...

Nov812 04:11 AM
Guffel

1 
1,607 