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

Feb2313 09:24 AM
micromass

1 
34,719 
can anyone please explain to me what a spanning set is? i've been having some difficulty with this for a long time and...

Nov311 07:51 PM
disregardthat

3 
2,775 
This is the problem: Suppose A\in\mathbb{R}^{n\times k} is some matrix such that its vertical rows are linearly...

Oct611 09:52 AM
jostpuur

3 
1,873 
To determine if a matrix is invertible or not, can we determine this by seeing if the determinant of the matrix is...

Sep3011 11:50 PM
Bacle

3 
1,371 
Here is a bilinear map φ of two vector spaces V₁ & V₂ into another vector space N with
respect to the bases B =...

Oct1011 12:23 PM
lavinia

3 
1,711 
A graph can be represented by an adjacency matrix but how is that a real mathematical matrix and not just a table?
A...

Oct211 10:07 AM
AlephZero

3 
1,843 
Let S be a subring of the ring of integers ℤ. Show that if 13 ∈ S and 1000 ∈ S, then S equals ℤ.
I'm thinking we...

Oct411 08:42 PM
Bachelier

3 
1,008 
Now, I can show that if n is prime then Z/Zn is a field
a = a
b = an2
a*b = an1 = 1 (mod n) > Fermat's...

Oct1411 11:45 AM
General_Sax

3 
1,962 
Hello all,
I have a problem to define a set of natural numbers that meet the following equation:
m2+1\equiv0
...

Sep2911 03:14 PM
naoufelabs

3 
1,935 
Why is it that a metric space (X,d) always has two clopen subsets; namely {0}, and X itself?
Rudin calls it...

Oct1911 10:19 PM
Deveno

3 
1,792 
Let F_n and F_n+1 be successive Fibonnaci numbers. Then (F_n+1)/(F_n)  Phi  < 1/(2(F_n)^2)
Where Phi is the...

Oct1811 03:14 PM
Matt Benesi

3 
1,802 
Hi guys!
I need to solve a matrix. I have 3 equations, 3 unknowns, straightforward stuff. And I know it's...

Oct1811 07:14 PM
jasonRF

3 
1,712 
\frac{d}{dx}f(x)=\frac{d}{dx}
how to get this derivative, what is the answer? is there textbook describe it?

Oct2411 09:39 AM
HallsofIvy

3 
1,016 
There exists none. What's the easiest way to prove this?
Can we state that all elements of ℤ are in ℤ but not the...

Oct611 02:20 PM
Deveno

3 
1,226 
Is it possible for two planes to meet in a point instead of in a line?

Oct2011 10:53 PM
chiro

3 
1,144 
When studying complex numbers/vectors/functions and so forth you constantly encounter the idea of an inner product of...

Oct2311 10:17 AM
Fredrik

3 
1,058 
So i have 3 vectors:
a=
b=
c=
How do I calculate the L in order to make these vecotrs linearly dependent?
...

Oct2411 12:49 PM
gotmejerry

3 
637 
1. Problem: Suppose a is a group element such that a^28 = 10 and a^22 = 20. Determine a.
I was doing some...

Oct2611 08:38 PM
micromass

3 
2,374 
Hi,
I have just begin with Linear Algebra.
I came across cosets and I dont understand what is the difference...

Oct3011 12:31 PM
Deveno

3 
1,537 
Hello
I am trying to solve a problem that involves "the plane y=z". How exactly should I think of this plane? It's...

Oct3011 12:48 PM
Deveno

3 
878 
I came across this while doing some research. Can someone help me understand this concept.
x^2+1 has a root in Zp, ...

Oct2911 09:56 PM
Bachelier

3 
1,438 
Do tuples exist which aren't elements of a cartesian product of sets?
Can you just write an ordered list of elements...

Nov1411 09:18 AM
eztum

3 
1,404 
Is there a way within reasonable errors to say what part of the positive integers are prime and what part is factored...

Nov1611 05:29 PM
lostcauses10x

3 
2,201 
Can anyone tell me how to calculate the discriminant of a general equation of 2 degree in 2 variables,...

Nov1011 09:26 AM
Stephen Tashi

3 
2,919 
As we know grad F (F surface) is in normal direction. But we also have (grad F(r)) x r = F'(r) (r) x r = 0
this...

Nov1611 10:10 AM
seshikanth

3 
1,054 
I have read at a lot of places that in 2D transformations rotation is a combination of scaling and simultaneous shear?...

Nov1511 04:18 AM
Deveno

3 
2,809 
tan(x)=k\frac{x}{z^{2}}
where k is the constant of proportionality, y varies according to x and z. x and z are...

Nov1911 08:21 AM
HallsofIvy

3 
1,048 
for dimension 2, the following relation between determinant and trace of a square matrix A is true:
det A=((Tr...

Nov2211 03:22 PM
I like Serena

3 
1,851 
NOT HOMEWORK.
I know how to embed Sn into An+2, just with the extra transposition, etc...
But how to show it can...

Nov2811 06:20 PM
Coca_Cola

3 
1,785 
Hello,
This is my first post on this forum, and I'm not used to the english mathematical vocabulary, I'll try my best...

Nov2711 12:47 PM
COURAGE_WOLF

3 
1,047 
Hi. I need to: prove the group (Zp*,x) has exactly one element of order 2. Here, p is prime and (Zp*,x) is the set {1,...

Nov2611 03:26 PM
micromass

3 
1,918 
First let me give you some definitions for the clarification of the problem:
Definition (Roman, Linear Algebra)
A...

Dec111 10:50 PM
Deveno

3 
1,688 
I'm having some troubles understanding the concepts of quotient algebra.
May someone explain me what exactly they...

Dec711 08:43 PM
Deveno

3 
1,390 
I was recently thinking about these diophantine equations. I'm looking for solutions (x,y) in integers with d as an...

Dec611 05:51 AM
Petek

3 
2,185 
Hello everyone,
I am currently learning about bases, and I am confused about different types of bases. I understand...

Dec811 07:13 PM
Deveno

3 
1,183 
I'm working on the following:
"Prove that x^2  1=0" has infinitely many solutions in the division ring Q of...

Dec911 11:21 AM
alexfloo

3 
1,464 
Why is the inner product of two orthogonal vectors always zero?
For example, in the real vector space R^n, the...

Dec1111 01:53 PM
Simon Bridge

3 
1,244 
What exactly is gauss composition? I've heard of Manjul Bhargava's work, which apparently generalized gauss...

Dec1911 09:09 AM
Mathguy15

3 
4,456 
Hi,
This is my first post and I must worn you that I'm not a mathematician. Im just a regular blonk looking for...

Dec1911 06:46 PM
chiro

3 
2,335 
Given a basis A = {a1,a2...an} we can always translate coordinates originally expressed with this basis to another...

Dec2311 11:32 AM
lavinia

3 
1,908 
I'm trying to prove the following, which is left unproven in something I'm reading on rulerandcompass constructions:...

Dec2811 06:25 PM
micromass

3 
1,343 