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

Feb2313 09:24 AM
micromass

1 
36,211 
Hi everyone. I am not sure if this problem belongs under the "Linear & Abstract algebra" section but it seemed like it...

Feb1709 02:19 PM
mathclass

4 
4,799 
This example appears in a set of notes entitled Geometric Algebra.
I cannot follow the first half of the example....

Apr2107 06:08 PM
matheinste

6 
1,379 
Help needed to eventually understand Quotient spaces.

Feb1208 04:23 PM
mrandersdk

8 
2,530 
Hello all.
I wasd beginning to feel at home with vectors and covectors but while trying to fully understand the...

Jun2007 06:54 AM
matt grime

25 
5,039 
Hello Everyone.
In a thread in this forum relating to a problem on Subspaces I read that as long as a Vector...

Jul107 07:12 PM
matheinste

8 
3,717 
Is there any difference between a vector subspace and a linear manifold.
Paul Halmos in Finite Dimensional Vector...

Oct3108 06:57 AM
HallsofIvy

13 
8,689 
Hello all. I am in need of a quick clarification.
A text I am reading describes an ideal in a ring as 'analogous'...

Aug107 07:57 PM
matheinste

7 
2,257 
Hello all.
I reluctantly ask this question because it is probably,as the text states easy, but my desire to clear...

Aug307 01:24 PM
matheinste

6 
1,691 
Hello everyone.
I came across the term free vector space in a book on mathematical physics by Geroch but cannot...

Dec3007 12:08 PM
mathwonk

11 
9,933 
Hello all.
While going back to group theory basics to make sure i understand rather than just know the fundamentals...

Nov407 04:36 PM
matheinste

4 
3,382 
Hello all.
I came across this problem in Halmos, FiniteDimensional Vector Spaces, page 16.
Is the set R of all...

Apr508 01:41 PM
HallsofIvy

33 
11,972 
Hello all.
Back to basics again.
When defining a set of geometric vectors for a vector space of n dimensions how...

Dec1107 05:39 PM
matheinste

9 
1,655 
Hello all.
I am reading again about free vector spaces over a set. In the Theory of Groups by Kurosh part of the...

Dec2407 10:50 AM
mathwonk

6 
2,133 
Hello all
I have read about quotient spaces of a vector space in several books and have an understanding of what...

Mar3008 08:22 PM
matheinste

2 
1,428 
Hello all.
Most modern treatments of the tensor product use equivalence classes to define a quotient space in order...

Feb2509 11:52 AM
fisicoloko

11 
3,586 
In several places I have come across what seems to be a standard proof by contradiction that there is no greatest...

Dec609 09:50 AM
matheinste

14 
6,517 
Howdy, I just stumbled on this forum and was hoping someone could help with this proof:
If a and b are elements of...

Dec1204 11:27 PM
MathematicalMatt

3 
1,658 
in this webpage there is a book about recreational maths in it there is a paradox by raymond smullyan, it's on page...

Nov203 08:34 AM
Hurkyl

11 
2,661 
i read the book "the man who loved only numbers" by paul hoffman, and there is explanation about fermat's test for...

Nov103 12:35 PM
Hurkyl

8 
3,390 
can some one explain to me how is taking the logarithm of euler product gives you sum(p)+log(s1)=log?
my question...

Dec1803 12:28 PM
MathematicalPhysicist

2 
3,925 
i think everyone is familiar to this but i wonder if someone has made his research to study it.
what i mean is the...

Feb1904 07:41 AM
MathNerd

12 
2,332 
im not trying to be a crank and give you a solution to it but im looking for the proof of Ivan Vinogradov "that every...

Mar204 09:07 AM
MathematicalPhysicist

7 
4,519 
i made a question by myself here it goes:
proove that the only solution to p is 3:
n^21=p where n is a natural...

Mar2504 09:34 AM
matt grime

5 
1,795 
in mathworld, they say that conway proved "that Collatztype problems can be formally undecidable."
does it mean that...

Jan405 11:07 AM
master_coda

14 
3,568 
is really the only way of checking which number is divisble by 7 is by modular arithematics?

Jan1606 12:13 PM
MathematicalPhysicist

12 
2,473 
i reackon youv'e seen it already, the problem is to rearrange the next numbers in the fixed order:
1 2 3 4
5 6 ...

Jan2906 12:09 AM
Robokapp

3 
2,410 
is there some theorem of some sort, that connect the number of divisors of a number to identify if it's even or odd?
...

Apr206 12:47 PM
Gokul43201

4 
2,837 
i'm refering to this:http://aleph0.clarku.edu/~djoyce/java/elements/bookIX/propIX36.html
does someone know if...

Apr406 01:15 PM
robert Ihnot

2 
2,089 
i chekced a few perfect numbers with module 6 and, a nice property is that all mod 6 equal 4 (at least for those i...

May706 06:04 AM
Muzza

9 
1,869 
i need to remember when does Ax=B has a unique solution, more than one, and no solution?
i think that it has a...

Jun1406 02:48 AM
doodle

1 
1,208 
i need to find how many automorphisms are there for the field Q(sqrt2).
i am given the hint to use the fact that a is...

Nov3006 12:10 PM
mathwonk

8 
2,084 
let V be a vector space and K a nonempty subset of V prove/disprove :
K is linear independent set iff for every T...

Feb507 07:01 AM
HallsofIvy

11 
2,843 
i need to prove diprove that there exist matrices A1,A2,...,As such that rank Ai=1 for every i=1,...,s and...

Feb507 08:20 AM
MathematicalPhysicist

2 
1,483 
1) there's given a transformation f:C^n>C^n (C is the complex field), it's known that f is linear on R (real numbers)...

Feb507 04:54 PM
matt grime

5 
1,858 
the question is as follows:
gcd(n,10)=1, i need to prove that there exists a k>=1 such that 10^k1 is divisible by n....

May407 01:36 PM
MathematicalPhysicist

15 
3,023 
i have this matrix:
011
001
000
and i need to find the matrix jordan basis, and jordan form.
for the jordan...

May407 03:45 AM
MathematicalPhysicist

10 
2,686 
im given a matrix H from M_n(C) (the space of nxn matrices above the comples field).
and we know that for every a in...

Jul1007 08:55 AM
matt grime

8 
1,668 
There's a question that asks me to show that there exists a unique linear transformation
from: f\otimes g: V_1\otimes...

Jul508 02:47 PM
mrandersdk

9 
1,444 
I know how the rotation matrix looks like in the 2x2 and 3x3 orders, but how does it look in general?
thanks in...

Aug108 02:56 AM
MathematicalPhysicist

9 
8,303 
What is the rule of division by 23?
Thanks in advance.

Jan2409 04:57 AM
MathematicalPhysicist

20 
3,406 