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

Feb2313 09:24 AM
micromass

1 
35,972 
It's been some time that I've been studying abstract algebra and now I'm trying to solve baby Herstein's problems, the...

Sep2011 11:07 AM
micromass

3 
1,535 
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 
1,910 
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 
1,402 
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 
1,737 
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 
1,921 
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 
1,033 
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 
2,005 
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 
2,058 
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 
1,844 
Question about linear transformations if you have a matrix such as
 5 6 9 
 5 0 3 
 9 3 7 
Can it...

Sep2011 10:26 AM
HallsofIvy

3 
1,168 
I've been googling but I haven't found anything useful. I am trying to understand how multiplying a matrix (or object...

Sep2111 04:07 AM
Simon_Tyler

3 
1,355 
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 
1,832 
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 
1,738 
\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 
1,036 
How would one normally solve this type of equation
x^a = b (mod n)
Is there any trick to solve it if I know that...

Sep2311 02:15 AM
Xitami

3 
2,504 
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 
1,267 
Esteemed Algebraists:
Please help me understand better the definition of a transvection.
Let V be a...

Jul2811 10:28 PM
Bacle

3 
1,772 
Hi,
I have a rotated frame (new matrix, T(x,y, z)) and the original frame (old matrix T(X,Y,Z)). I want to use this...

Aug411 02:11 PM
Rasalhague

3 
2,903 
The book I use for linear algebra explains that the motivation for defining a vector space has to do with the Gauss'...

Jul2711 04:01 AM
Tosh5457

3 
2,029 
Hi, All:
Given a quadratic form Q(x,y) over a field of characteristic different from 2, we can
find the...

Aug1211 12:14 AM
Bacle

3 
2,275 
Hello,
After a theorem stating that the product, sum, etc of two elements of a field extension that are algebraic...

Jul2711 05:55 PM
nonequilibrium

3 
2,198 
Is the following theorem true:
Theorem: Suppose a, \, b \in \mathbb{R}^k. If a + b = a + b , then a and ...

Aug411 10:53 PM
matphysik

3 
1,698 
I think this is a pretty simple question. I need a transformation that will take a Column vector e.g.: <a,b,c> and...

Aug411 10:35 PM
JG89

3 
2,107 
I've been playing with a computational system that represents numbers in their simple continued fraction form.
That...

Aug1011 11:17 PM
Eynstone

3 
2,931 
It is well known that the Harmonic Series diverges (1/1+1/2+1/3+1/4+...), but that the series converges. In the...

Aug1711 09:48 PM
micromass

3 
2,247 
I took an Intermediate Linear Algebra course all last year (two semesters worth) and we covered the CDT. My professor...

Aug1911 05:10 PM
Kindayr

3 
2,533 
In my lecture notes, the lecturer describes the column space of matrix A
as the vector space spanned by the columns...

Aug2011 05:58 PM
micromass

3 
1,255 
I've got a question and I really need the answer! Why 10adics are not a field? And generally, How can you be sure...

Aug2411 12:30 AM
Citan Uzuki

3 
2,207 
Hello i have this matrix \in Z mod 7,
M = \begin{pmatrix} 0&6\\ 5&0 \end{pmatrix}
always modulo 7 in Z.
I found...

Aug2411 06:40 AM
HallsofIvy

3 
1,671 
This is going to be kind of a long post, and I'm citing the author because it's directly from a textbook, but I'm...

Aug2911 03:56 PM
blueberryfive

3 
2,865 
Hi,
I have a problem understanding the difference between Cartesian product of vector spaces and tensor product....

Sep511 05:26 PM
mathwonk

3 
1,717 
Hi, just curious as to whether we can map any 2planep: ax+by+cz=d into any other
2plane p': a'x+b'y+c'z=d' by...

Sep811 01:00 PM
micromass

3 
1,343 
show that the square of any odd integer is odd, use this fact to justify the statement "if p2
is even , then p is...

Sep1211 05:47 PM
Amergin

3 
1,181 
I just can't figure out how you arrive at having a diagonal matrix consisting of Jordan blocks.
Going by Lang, a...

Sep1411 05:40 PM
sponsoredwalk

3 
1,628 
I'm guessing greater than but I'm not too sure. I need a proof on this so I can be assured of it and then use the...

Sep1411 04:17 PM
AlephZero

3 
3,102 
Is it possible for two planes to meet in a point instead of in a line?

Oct2011 10:53 PM
chiro

3 
1,177 
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 
1,083 
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 
652 
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 
2,417 
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 
1,468 