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

Feb2313 09:24 AM
micromass

1 
30,469 
I currently self study from the book "A Course in Modern Mathematical Physics" by Peter Szekeres, and I'm currently...

Aug510 02:28 PM
Goldbeetle

3 
1,548 
For the theorem that states that in quadratic field Q, if d is congruent to 1 mod 4, then it is in the form (a + b...

Jun2010 08:55 PM
ramsey2879

3 
1,501 
Hey,
When trying to multiply the 2 attached matrixes (row X column) I get a much more terms then the attached...

Jun510 10:06 PM
Simon_Tyler

3 
1,291 
All right, I've been doing a lot of reading on quaternions, and while I think I understand how to use them, I'm still...

Jun710 06:18 PM
david.aloha

3 
2,249 
Basically, i am doing some cryptography, i need to show that a polynomial i have, which is not irreducibale, implies...

Jun2210 07:49 AM
ohubrismine

3 
1,767 
Hello,
I guess this is a basic question.
Letīs say that If I am given a matrix X it is possible to form a symmetric...

Jun1010 03:03 AM
mnb96

3 
1,792 
Dear Friends,
I have a question and would be pleased if you help me by suggesting a paper or book to study.
Let...

Aug1810 11:52 PM
ross_tang

3 
4,342 
I have encountered such a triangular set of numbers:
1
8 7
28 16 9
56 65 22 7
70 112 51 ...

Jun2010 06:30 PM
squelchy451

3 
1,267 
Hopefully I have this in the right place, it's not a homework question exactly, rather a question I have as I'm...

Jun2210 01:11 AM
16180339887

3 
832 
I need to prove that the equation x^4  y^4 = 2 z^2 has no positive integer solutions.
I have tried to present this...

Jun2410 02:15 PM
CRGreathouse

3 
4,089 
I'm trying to compute the eigenvalues for a 32x32 symbolic matrix (with one variable) in Mathematica. I get the...

Aug110 08:23 PM
jasonRF

3 
3,598 
I need help.
So the obvious answer is no, because it's not integrally closed (incidentally it's integral closure...

Jul1610 12:19 PM
tmccullough

3 
1,348 
given any two numbers a,b and an upper and lower bound for the sum of reciprocals of a certain class of integers...

Jul2110 11:21 PM
dimitri151

3 
3,551 
Anyone know how to solve a quintic or quartic? (thanks)
(try to list your information, its helpfull!)

Jul1710 02:49 AM
chaoseverlasting

3 
1,406 
I googled for a proof,but didn't find one.
Could anyone give me a link to a proof?

Jul2310 04:00 AM
quasar987

3 
6,414 
Would you please help me? Thanks in advance.
Prove that if a belongs to R, then (a^2)^1/2 = a?
by using...

Aug110 09:15 PM
Hurkyl

3 
1,457 
Hey all,
I'm trying to find an orthogonal complement (under the standard inner product) to a space, and I think...

Aug210 11:44 AM
vigvig

3 
2,781 
What is the effect on a vector when it is multiplied by a matrix?
Let any matrix
2 3
3 5
What will be the...

Aug410 05:28 PM
berkeman

3 
1,280 
Is it correct that the Gaussian elimination procedure is used in computer software to solve systems of linear...

Aug610 03:36 PM
hotvette

3 
1,243 
I'd like to do one of two things:
1: Find an example of a nondiagonal matrix whose matrix exponential (defined in...

Aug1010 02:52 PM
charlesworth

3 
2,427 
Suppose \mathfrak{g} and \mathfrak{h} are some Lie algebras, and G=\exp(\mathfrak{g}) and H=\exp(\mathfrak{h}) are Lie...

Aug1010 08:45 AM
Hurkyl

3 
853 
The number of partitions of an even number 2N into N parts appears to be equal to the number of partitions of N.
...

Aug1710 01:34 PM
FaustoMorales

3 
3,154 
I am looking for a rather simple proof that if the matrix A has eigenvalues>0, then (x^t)Ax>0 for any vector x not 0....

Aug2310 08:00 AM
HallsofIvy

3 
1,277 
Thank you for reading.
If I have an object (is it correct to call it a tensor?) whose components are defined by:
...

Aug2610 12:55 AM
Fernsanz

3 
1,217 
I'm currently learning Lie groups/algebras and I am trying to find the infinitesimal generators of the special...

Aug2210 11:05 PM
16180339887

3 
854 
There is a problem in a book I'm not quite understanding.
Let M be an Rmodule and let I=Ann(M). Show that M can be...

Aug2610 03:58 AM
Hurkyl

3 
739 
normal extension  an algebraic field extension L/K is said to be normal if L is the splitting field of a family of...

Aug3010 05:57 AM
rasmhop

3 
1,945 
Help for prove this please
Let T\in{L(V,W)}
The equation Tx=y have one solution iff y\in{R(T)}

Aug2810 12:41 PM
arkajad

3 
878 
Yet another silly question from me :/. From an instructor's notes: "Let V = R^n be the vector space of column ntuples...

Sep110 02:39 PM
vanckzhu

3 
1,791 
Definition: A semigroup is a pair (R,op) where R is a set an op is a binary operation that is closed and associative. ...

Sep810 06:27 AM
Eynstone

3 
1,207 
Consider a binary operation on a set G. A an element e of G is said to be a left identity if ex=x for all x. If x is...

Sep410 08:53 PM
Fredrik

3 
5,352 
0, 1, 1, 1, 2, 2, 4, 8, 12, 96...
What number follows?

Sep510 03:11 AM
adriank

3 
990 
Are there cases where there's more than one binary operation to choose from by which to define a Lie algebra for a...

Sep1010 10:47 PM
Rasalhague

3 
922 
what will be the sum of this series?
\Sigma nCr . 2r
where r = 0 to n

Sep1510 02:22 AM
Sherard

3 
1,121 
Appoint all the pairs (k, l) (both k and l in R^+) such that:
\sqrt{k}+\sqrt{l}=\sqrt{4+\sqrt{7}}
I'm really stuck...

Sep1210 09:44 PM
adriank

3 
1,023 
I'm reading the first chapters of "A Guide to Distribution Theory and Fourier Transforms".
On page 10, Exercises...

Sep1910 01:21 PM
Goldbeetle

3 
931 
what is another way to form (a+b)^c to another simple expression?
like for example a^c+b^c doesnt work because its...

Sep2010 10:12 PM
GlobalDuty

3 
1,119 
When I realize that I am going to have a singular matrix (after exhausting row swap options and maybe even some...

Sep2210 09:50 PM
MurdocJensen

3 
11,438 
Here is my problem. Any ideas are appreciated.
Let P be a projection matrix (symmetric, idempotent, positive...

Sep3010 06:28 AM
trambolin

3 
6,305 
Sounds great thank you

Oct310 04:28 PM
Simon_Tyler

3 
1,106 