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

Feb2313 09:24 AM
micromass

1 
30,401 
I saw in an application of Sylow's theorems, it said we have something like a group of order 28 = 2^2 x 7, so we have...

Oct1509 04:46 PM
jbunniii

1 
849 
How much can a determinant tell you about the entries of a matrix? How much more if you know the size of the...

Oct1509 03:37 PM
jasonRF

3 
991 
Prove that if A is an invertible matrix and AB = BC then B = C. I thought the way to approach it was to use A^1 on...

Oct1509 06:56 AM
HallsofIvy

1 
6,844 
The complexified Lie algebra of the Lorentz group can be written as a direct sum of two commuting complexified Lie...

Oct1409 10:57 PM
aziz113

1 
976 
to begin I am wondering if its even true that they are equal. As i lost the sheet with that on it. If that is not true...

Oct1409 09:00 PM
lstellyl

1 
3,190 
Greetings PF,
I would like to sketch the proof that Abel gave for the insolubility of the quintic. This is a...

Oct1409 07:23 PM
icantadd

2 
1,748 
Does anyone know where I can access past exam papers in the field of linear algebra. I am particularly looking for...

Oct1409 08:49 AM
Dafe

4 
10,021 
I am in a linear algebra and differential equations course and have recently been learning how to find a basis for a...

Oct1409 06:52 AM
HallsofIvy

4 
2,975 
Hi all! I was working on some homework for the linear algebra section of my "Math Methods for Physicists" class and...

Oct1409 03:00 AM
Matthollyw00d

2 
9,709 
I'm having trouble understanding just what is the difference between the three types of maps: injective, surjective,...

Oct1309 03:56 PM
Moo Of Doom

4 
4,456 
Looking for info on game theory

Oct1209 01:49 AM
robert Ihnot

3 
1,596 
Hey guys, new to the forum but hoping you can help.
How do you prove that vector spaces V and U have a linear...

Oct1109 10:43 PM
Servarus

6 
3,243 
I'm working on trying to figure this proof out but its proving to be quite difficult does anyone have any insight?
...

Oct1109 02:30 PM
Office_Shredder

1 
4,219 
I was wondering if anyone could give me some hints on this
Suppose A^k=0 for some integer k is greater than or...

Oct1109 07:27 AM
HallsofIvy

2 
792 
Greetings,
I am faced with a problem in Group Theory. It's not homework. I am trying to study it by myself. The...

Oct1009 05:25 PM
Jösus

2 
2,045 
Let α (alpha) all in S_n be a cycle of length l. Prove that if α = τ_1 · · · τ_s, where τ_i are transpositions, then s...

Oct1009 04:40 PM
Jösus

1 
893 
Hello,
I am quite new here, as my number of posts might indicate. Thus I am not really sure whether or not this...

Oct1009 04:00 PM
Jösus

2 
1,263 
Hello,
how would you solve an homogeneous system of the form A\mathbf{x}=0, with the constrain...

Oct1009 09:27 AM
Hurkyl

5 
621 
Hello,
I'm trying to use either MAXIMA or MATLAB for extended polynomial division.
In MAXIMA, I can use the...

Oct809 11:46 PM
EBMath

0 
2,347 
Let V be a vector space and let T: V \rightarrow V be a linear transformation. Suppose that n and k are positive...

Oct809 02:38 PM
tinytim

1 
1,171 
Hi,
I have a (markov chain) transition matrix X which I understand. In particular each row of this matrix sums to...

Oct809 08:10 AM
g_edgar

5 
4,508 
1. The problem statement, all variables and given/known data
How do I show that the cp is p(x)=x^n, dimA=n?
2....

Oct809 07:10 AM
trambolin

7 
4,908 
I have a system that ideally creates a real symmetric negative definite matrix. However, due to the implementation of...

Oct809 03:33 AM
trambolin

3 
1,504 
Hello,
given a vector x=(a,b) in 2D, and considering another vector obtained by shifting cyclically the coordinates...

Oct709 01:38 PM
mnb96

12 
1,351 
Give one primitive element for each of the finite field:
F2n (here "2" is the subscript)
for n=1, n=2,...,n=8

Oct709 07:23 AM
tinytim

1 
656 
I need to calculate eigen values and eigen vectors of a large symmetric real matrix, but all eigen vectors have to be...

Oct709 07:13 AM
Born2bwire

3 
2,319 
Hello,
I was trying to follow a proof that uses the dot
product of two rank 2 tensors, as in A dot B.
How is...

Oct609 12:42 PM
dakg

5 
15,255 
I know that if n is odd and has k distinct prime factors, then the number of roots, x^2 = 1 (mod n), is equal to 2^k....

Oct609 08:04 AM
CRGreathouse

1 
1,906 
I'm considering the problem: Given c \in \bold{F}, v \in V where F is a field and V a vector space, show that cv = 0,...

Oct609 06:47 AM
Landau

7 
1,694 
Prove that:
g is a generator of Fp* if and only if g^(p1) = 1 (mod p) and gq ≠ 1 (mod p) for all prime divisors q...

Oct609 04:28 AM
Hurkyl

1 
662 
The parabola y = x2 is rotated anticlockwise about the origin through the angle 30o. What is the new equation of the...

Oct509 07:26 PM
HallsofIvy

2 
710 
Hello,
so i was looking up the defintion of linear mapping and mapping in general and i have seen the technical...

Oct509 07:24 PM
HallsofIvy

1 
948 
I'm going through Axler's book and just got introduced the concept of sums of subspaces and the direct sums.
Here's...

Oct509 02:43 PM
jeffasinger

5 
3,733 
given the formula
g(x)= \sum_{n \le x}
has any meaning in number theory ? ,

Oct509 09:42 AM
ramsey2879

1 
1,434 
prove Byron's Conjecture. Define the set
Znx={k∈Zn but not including zero ：gcd(k; n) = 1}
(a) Prove that Znx is a...

Oct209 01:49 PM
g_edgar

3 
1,153 
Ok... So today, someone asked me a simple question: Why do two negatives become a positive number when multiplied...

Oct209 09:57 AM
Whatever123

8 
1,641 
Recall the definition of n! (read n factorial"):
n! = (n)(n1)(n2) ….(2)(1) =∏(k)
In both (a) and (b) below,...

Oct209 01:40 AM
robert Ihnot

2 
1,746 
So I have this code:
function ApproxSinDeriv(x,n)
h=.5;
for i = 0:n
h;
approx =...

Oct109 12:18 PM
Providence88

2 
1,740 
Is it possible to find a formula to expand this polynomial: (n+1)(n+2)\ldots(n+x) where n,x\in\textbf{N}. In other...

Oct109 08:28 AM
Bingk

6 
1,891 
Let Q: R3 \rightarrow R be the quadratic form given by
Q(x) = 2x1x2 + 2x1x3 + 2x2x3 where x = (x1x2x3)t
How do I...

Sep3009 08:12 PM
squenshl

1 
897 