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

Feb2313 09:24 AM
micromass

1 
35,767 
Hello,
I have searched through out the internet but I couldn't find any information about the origin of Pascal...

Jul1208 03:20 AM
roam

7 
9,961 
Hey,
I have a set of quadratic equations in the form of:
ax^2 bxy + cy^2 = d
ax^2 bxz + cz^2 = d
ay^2 byz +...

May1111 01:43 PM
hotvette

20 
9,955 
Can you help me with this problem:
if a^2 divides b^2, show that a divides b.
This was a homework question that I...

Oct2409 05:42 AM
Bingk

23 
9,953 
simple problem... 3x = 1 (mod 16), find all possible values of x mod 16
so this is what i've come to:
3x = 1 +...

Mar108 04:41 PM
ramsey2879

7 
9,948 
Hey all!
I am working on this and got confused. Any help at all would be much appreciated!
Determine the kernel...

Dec1409 10:50 AM
Codexmac

6 
9,924 
Hi all!
This looks a pretty nice forum. So here's my question:
How do I find/show a basis or orthogonal basis...

Sep2506 01:31 PM
river_rat

4 
9,898 
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 
9,875 
hi all
this is the general problem
X\ddot{}+AX\dot{}+BX=0
let A, B,X be 2*2 matrices
its application is in...

Mar3008 01:14 AM
jahandideh

6 
9,875 
I am really confused on this topic.
can you give me an example and explain how you found, pleaseee!
for example,...

Jul2810 02:41 PM
Jamma

14 
9,850 
how do you prove that if v is an element of V (a vector space), and if r is a scalar and if rv = 0, then either r = 0...

Mar3004 05:27 AM
matt grime

5 
9,791 
Here it is...
1/3= .33333333333...........
2/3= .6666666666.........
so
3/3= .9999999999.......

Oct805 08:03 AM
HallsofIvy

3 
9,768 
I've done some more work on my SemisimpleLieAlgebras.zip package, adding decompositions of representation powers. It...

Apr1714 11:59 PM
lpetrich

40 
9,749 
I am trying to find the Nth power of a general 2x2 real matrix. This seemed simple at first, but I am running into...

Dec2509 09:24 AM
Hurkyl

4 
9,740 
Please excuse the lack of latex, I'm in somewhat of a hurry and I do not have the time to lookup the latex syntax for...

Mar1805 03:05 PM
FrogPad

3 
9,728 
Someone please help me show that (uv)^n= Summation {u^(i)v^(ni)}
where i=0 the starting point and n is the ending...

Mar304 09:31 PM
Ed Quanta

18 
9,633 
Hello
I recall, I think, that there is a lemma wich states that a 2x2 symmetric matrix can be diagonalized so that...

Dec2811 06:52 AM
ApplePion

5 
9,618 
How can you show that an arbitrary n \times n matrix has n linearly independent eigenvectors? What if all you know...

May409 07:54 PM
jbunniii

3 
9,610 
Let V be a vector space over the complex field.
If V has an inner product <\cdot,\cdot>, and \cdot is the...

May2110 02:12 PM
Landau

1 
9,608 
Hi,
I recently became interested in some number theoretical questions. I have actually never really studied it...

Sep1108 09:08 PM
CRGreathouse

27 
9,607 
I need help proving the following:
1 A nonsquare matrix cannot have both a left and a right inverse
2 If a...

Nov407 01:18 PM
mathguy34

2 
9,575 
Is any formula that produces nth prime ?
if not visit this web site
http://www.primenumbersformula.com

Jul1808 11:49 PM
CRGreathouse

48 
9,553 
Springer is having their annual Yellow Book sale and I was going to pick up an algebra text to supplement Dummitt and...

Oct1506 01:27 PM
mathwonk

7 
9,544 
If A and B are idempotent(A=A^2) and AB=BA, prove that AB is idempotent.
this is what i got so far.
AB=BA...

Oct1507 03:02 PM
learningphysics

9 
9,530 
Hello,
I am having trouble understanding groups in my group theory class. I am not confident on how to approach the...

Oct2903 06:38 PM
wubie

4 
9,506 
Hi,
Is there a formula to do this? The textbook just says to "reverse" the action of T to get T^1 (T inverse). Can...

Jul1505 09:30 PM
KataKoniK

7 
9,479 
I'm stuck on the following problem:
Describe the span of the vectors u1 and u2 in R^3, where
u1 = (1, 1, 1),...

Jun3005 11:05 PM
mathwonk

6 
9,470 
hi
that day, a friends of mine asked me to find out the last digit of 3^999. i knew that i have to find out 3^999 mod...

Apr906 08:22 AM
murshid_islam

8 
9,469 
So I'm considering dimensions of real vector spaces.
I found myself thinking about the following:
So for the...

Mar408 10:54 PM
ircdan

1 
9,464 
given that 2 matrices have the same eigenvalues is it necessary that they be similar? If not, what is the connection...

Apr2211 06:20 AM
spg89

16 
9,442 
Hi,
I'm trying to solve the following matrix equation:
XAX' = B
where A,B are known...

Aug1105 03:21 PM
drorled

0 
9,439 
Do you think you could do vector operations in polar coordinates?

Oct2904 01:39 AM
James R

2 
9,438 
Hi, this is my first post here, so bare with me.
So I need to compute the eigenvectors of a large matrix...

Jul1708 06:48 PM
JPRitchie

9 
9,426 
I am currently taking a number theory course. The professor who teaches the course is very well known in his research...

Oct113 02:58 PM
DeadOriginal

10 
9,407 
Hi,
I have forgotten the formula for calculating the second norm of matrix. Does anyone know the formula?
Regards,...

Sep1704 12:31 PM
mathwonk

2 
9,401 
Hi,I am a Chinese sophomore major in software engineering.I am reading Artin's Algebrarecently and have come across...

Sep806 06:01 PM
GreenApple

6 
9,394 
1. The problem statement, all variables and given/known data
A set of objects is given, together with operations of...

Nov207 10:20 AM
ice109

36 
9,373 
I just have one question about the proof. Why does (p1)!a^{p1}=(p1)!\pmod{p}? It seems like it would be true if...

Sep1005 08:54 PM
amcavoy

5 
9,327 
Alright. As stated in the title above.
So, a subspace is a set of vectors that satisfies:
1) It contained the zero...

Mar809 04:24 PM
HallsofIvy

8 
9,323 
I do not know if this counts as number theory, but I came to this question while studying number theory, so I post...

Mar1108 01:29 PM
LorenzoMath

11 
9,320 
Hi there:)
I found a quick formula for calculate perfect numbers.
T(v)={{*}^2}/128  {*}/16
T(v1) is the...

Jun2707 09:34 PM
Kummer

9 
9,309 