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

Feb2313 09:24 AM
micromass

1 
30,407 
Hi everyone. I'm trying to understand the step where they wrote
1/2 ∏1/(1+p^3) =1/2 Ʃ(1)^ord(k)/k^3
How can I...

Jun1213 03:16 AM
lurflurf

7 
527 
Was wondering if the only required definition for finite groups is closure (maybe associativity as well). It seems...

Jun1213 02:13 AM
lurflurf

16 
978 
For a linear transformation to be invertible, is it a requirement that the domain and codomain be the same vector...

Jun1113 08:26 AM
HallsofIvy

3 
416 
Friedberg proves the following theorem:
Let V and W be vector spaces over a common field F, and suppose that V is...

Jun1013 12:25 PM
micromass

1 
409 
Is there a way without using the algorithm to find A1 of a square matrix greater than 2x2?
The question we are...

Jun913 11:04 AM
dwn

2 
619 
For a certain transformation T, it is known that T(x+y) = T(x) + T(y)
It is required to determine whether this...

Jun913 10:24 AM
micromass

5 
506 
Resource: Linear Algebra (4th Edition) David C. Lay
I understand that there are identities associated with...

Jun913 08:32 AM
dwn

4 
476 
How does one show that the set of polynomials is infinitedimensional? Does one begin by assuming that a finite basis...

Jun913 12:39 AM
Bacle2

6 
878 
Let's say I have some finite subset of vectors in, lets say, ℝ^{5} . If my set has five linearly independent vectors,...

Jun813 10:54 PM
Vorde

6 
560 
First I'll write what I know:
Algebraic number: one of the roots to a polynomial over rational numbers.
...

Jun813 09:06 AM
Stephen Tashi

1 
523 
The definition given is...
"Let ##\phi: G \rightarrow H## be a homomorphism with kernel ##K##. The quotient group...

Jun713 07:47 PM
Office_Shredder

7 
566 
I am reading a number theory text book that states Dirichlet's Approximation Theorem as follows:
If α is a real...

Jun413 03:31 AM
ANphysics

2 
460 
Hello,
I would like to know if it is possible (and the solution, if known, please!) to extract a 3x3 matrix from a...

Jun313 05:45 PM
mfb

7 
534 
Hello, I'd like to make a, probably stupid, question regarding the axioms that define a vetor space. Among them, there...

Jun313 10:22 AM
cosmic dust

3 
471 
Is the following a theorem? yes or no
If A and B are noncommuting Hermitian operators (or matrices), there does not...

Jun213 12:28 PM
nomadreid

2 
725 
Are any of the nondivision algebras similar to the grassmann algebra?

Jun113 05:06 PM
friend

4 
662 
Hi all!
I have no application in mind for the following question but it find it curious to think about:
Say that...

May3113 06:43 PM
mfb

1 
414 
Remember the Newton's binomial theorem which says:
(x+y)^n = \sum_{r=0}^n {n \choose r} x^{nr} y^r
where {n...

May3113 12:13 PM
Stephen Tashi

3 
530 
Consider ##\vec{a}=\begin{bmatrix} a_1 \\ a_2 \\ a_3 \end{bmatrix}## and ##\vec{b}=\begin{bmatrix} b_1 \\ b_2 \\ b_3...

May3013 11:53 AM
Ben Niehoff

15 
812 
Hey,
Can somebody help me on this one. I feel out of my depth and have to solve it somehow.
I have a variable...

May3013 06:58 AM
alnoy

2 
438 
Using the given information, is it possible to solve the new travel direction of the smiley face? To clarify, I am...

May2913 06:48 PM
Simon Bridge

6 
417 
The invertible matrix equation tells us that the following statements are equivalent, for any square matrix A:
1) A...

May2913 07:39 AM
HallsofIvy

2 
575 
Consider the operation of multiplying a vector in ℝ^{n} by an m \times n matrix A. This can be viewed as a linear...

May2813 03:39 PM
CompuChip

4 
473 
Here it is for those interested.
http://arxiv.org/pdf/1305.2897.pdf

May2813 08:47 AM
epsi00

0 
401 
This is something that I haven't really found much info on. I'm a student attending McGill university, and I have a...

May2713 09:06 AM
zalba

8 
856 
Anyone have an idea when/where there might be accessible draft of the paper, or want to share any insights beyond the...

May2713 01:49 AM
nomadreid

1 
659 
When finding lim(x>1) (1+2ln(x))^(1/(x1)) = 1^(infinity) I let
y = (1+2ln(x))^(1/(x1)) then ln both sides giving...

May2613 05:10 AM
Zaurus21

1 
443 
I don't really understand the point in Curvature and Torsion, I am wondering if someone could explain them to me....

May2613 01:22 AM
yenchin

5 
553 
Let A be the set of n \times n matrices. Then the identity element of this set under matrix multiplication is the...

May2413 11:59 PM
micromass

1 
472 
Hi,
I don't get which of the many matrix norms is invariant through a change of basis. I get that the Frobenius...

May2413 09:35 PM
NegativeDept

1 
618 
So, I know that for a set of vectors to be a basis the set of vectors must be linearly independent and also must be a...

May2313 11:45 PM
Bacle2

6 
574 
Hey Guys
I am Currently doing my degree in information systems. At the moment the subject is PLC(Processing and...

May2213 07:45 AM
Bipolarity

5 
623 
Just curious about a certain facet of the vector description of a plane. My query is as to why it is defined as n •...

May2113 08:34 AM
That Neuron

4 
596 
Hello everyone!
I have a question on whether a system of equations can be classified as linear. I have the...

May1913 11:05 PM
jedishrfu

3 
537 
Hi everyone,
I don't quite understand how tensor products of Hilbert spaces are formed.
What I get so far is...

May1913 12:08 PM
Fredrik

6 
891 
My linear algebra uses "Kyle Numbers" to compute some kernels. But it does not elaborate on what they are and how they...

May1513 05:02 PM
fzero

3 
1,452 
after finding out what geometric multiplicity was, I was surprised to notice that in every question I'd done it was...

May1513 03:23 PM
njl86

4 
683 
Dear all,
I'd like to apply principal component analysis (PCA) to hyperspectral data (~1000 bands). The number of...

May1313 08:58 AM
miguelcc

0 
583 
Any ideas on this? I googled it and got only answers inolving Excel, C++, etc...
A formula for finding the digit sum...

May1213 08:09 PM
greg9381

5 
4,505 
How do we go about finding the transformation that was used to go from one matrix to another ( provided of course that...

May1213 11:17 AM
nomadreid

4 
913 