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

Feb2313 09:24 AM
micromass

1 
30,432 
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 
587 
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 
1,756 
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 
1,059 
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 
767 
Hi all,
I have a linear algebra question relating actually to control systems (applied differential equations)
...

Nov1612 09:07 AM
X89codered89X

1 
733 
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 
1,985 
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 
1,451 
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 
1,777 
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 
1,316 
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 
755 
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 
1,624 
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 
750 
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 
1,522 
The CantorSchreuderBerstien theorem states that if there exists a onetoone function from X to Y and the reverse...

Nov1312 02:42 AM
micromass

4 
799 
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 
844 
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 
1,253 
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 
903 
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 
1,045 
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 
1,417 
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 
1,073 
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 
1,551 
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 
805 
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 
978 
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 
699 
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 
1,039 
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 
2,028 
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 
916 
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 
842 
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 
669 
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 
833 
As part of a larger problem involving classifying intertwining operators of two group representations, I came across...

Nov812 01:54 PM
Vargo

2 
985 
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 
941 
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 
949 
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 
1,602 
I can't figure out how to simplify the equation E2=m2c4+p2c2 to Emγc2! This is driving me crazy trying to! How do you?

Nov712 01:49 PM
micromass

2 
1,086 
Consider the system of linear equations (A+D)x=b, where D is a positive semidefinite diagonal matrix. Assume for...

Nov612 05:03 PM
JohnSimpson

0 
547 
Hi i have two questions regarding this definition: "A vector space is a set that is closed under finite vector...

Nov612 01:27 PM
christian0710

5 
870 
Say I have a set of points in 2D space. How would I find a line that maximizes the sum orthogonal projection of the...

Nov612 10:08 AM
mfb

11 
1,033 
So I want to clarify if what I'm thinking is correct.
Suppose we have a mapping f : A → B and we have a in A and b...

Nov512 04:21 PM
micromass

4 
651 
I don't know how to write out matrices nicely on this forum,
but suppose you have some matrices:
This...

Nov512 01:54 PM
micromass

1 
661 