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Linear & Abstract Algebra

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Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:24 AM
1 30,461
Hi I've been wondering....the conjecture which states that the number of twin primes is infinite has neither been...
Jun19-04 10:45 PM
6 4,050
Hi all, I have been asked the question by a friend of mine who was working on a computer algorithm where he needed...
Jan11-13 03:01 PM
4 1,167
Given are two square matrices of the same dimension, M and N. M is symmetric. N is non singular. From M and N...
Jun9-12 08:49 AM
8 1,630
If the only solution to Ax = b is the trivial solution, then is that solution considered unique?
Aug2-10 06:49 AM
4 12,161
Z/p consists of polynomials in x with coefficients in a field Z/p. I is an ideal of Z/p generated by some...
Nov12-07 01:42 AM
2 1,021
Assume A=f(t) is an nxn matrix with all elements being non-negative. The eigenvalue with the largest absolute value is...
Nov22-10 05:35 PM
4 2,919
so lets say |a| = 30. How many left cosets of <a^4> in <a> are there? ok, so |a| = 30. and think I need to find...
Dec13-04 03:10 PM
4 1,352
Given a set A with a binary associative operation *, I would like to say that for each element a there exist an...
Jul6-09 10:58 AM
21 1,851
So I was talking with a friend about a problem and noticed the following construction arose naturally: For a...
Feb11-10 05:26 PM
1 1,304
For instance, lets say that you want to study fermat x^n+y^n=z^n for n=3; do not mind that we already know the answer...
Oct20-10 05:32 PM
8 1,504
Hello, let's say we have two functions of two variables: f(x,y) and g(x,y). Say we know that the sum / integral...
Mar25-09 04:32 PM
3 1,091
like N=5053=163*31 and N=169*37=6253 if we do not know the factors and if we do not want to factor them. They both...
Oct6-10 09:48 PM
6 1,152
Let V be the variety of the ideal (f) a singular point is a point where all the partial derivatives of the f are...
Dec3-07 08:22 PM
4 1,613
Is there a mathematical equation to find square/cubic/etc. roots of a number? Any help would be greatly appreciated...
Apr6-10 04:28 AM
10 2,625
hi , I met lot's of binary operation which is associative and commtative and I also met lot's of binary operation...
Nov19-12 07:10 AM
Dead Boss
5 1,057
Dear all: For a standard linear system, y(n*1)=A(n*n)x(n*1) If y is exact and A is well-conditioned, it is easy...
Nov1-10 05:44 AM
1 1,724
Is there any general formula for strings? For example: what is the formula of this string -1,3,-5,7,-9,....? ...
Sep12-08 12:38 PM
12 922
According to the prime number theorem, the number of prime numbers that are less than N is approximately N\ln(N) for a...
Sep5-11 11:17 AM
6 2,297
I guess this is best explained with an example. The matrix (0 -1) has the eigenvalues ...
Dec11-10 02:18 PM
2 1,972
I have a block Toeplitz matrix with complex parameter as shown in attachment file. How can I solve such problem, I...
Jun7-09 10:53 PM
0 787
Say I have two matrices of the form A = (1 x 6 row vector) and B = (1 x 3 row vector). The number of...
Sep30-12 08:09 AM
2 825
T^i K_{ij} = K T^j K^{-1} repeated indices imply summation. T^i are the generators (Lie algebra elements) of SO(3)....
May28-06 10:54 PM
3 1,459
is there yet a mystery about partitions? where can i find some lit. on the subject?
Jun19-04 11:53 PM
2 1,787
Suppose we have a finite dimensional inner product space V over the field F. We can define a map from V to F...
Aug11-12 08:13 PM
3 1,025
I used to test orthogonality by using the definition MT = M-1, which means I always calculated the inverse of the...
Jul30-12 08:53 PM
4 1,159
Hi, Suppose that L is a Lie algebra, B is a proper subalgebra of L. Let tau be an automorphism of L. The...
Mar7-11 05:29 AM
0 698
So my job is to find a field with 5^4 elements, and I know i can construct one by considering something of the form:...
Dec6-04 10:06 AM
12 1,706
Hello everyone! I have a question on whether a system of equations can be classified as linear. I have the...
May19-13 11:05 PM
3 540
The Hypothesis described here below is equivalent to the Riemann Hypothesis. However, I am unable to state whether...
Sep2-09 02:46 AM
0 1,090
I notice that the trick to define Dirichlet Eta Function can be repeated for each prime number, let p a prime, and...
Oct6-10 04:07 AM
0 910
Given: x, y, z, n are whole natural numbers, including the regular and irregular prime numbers; x and y < z. The,...
Jul25-12 12:40 PM
26 3,566
Is there a theorem that says that for linear operators a and b on some vector space, if = = 1 , where ...
Jul23-05 03:04 AM
10 1,299
Let A be any real invertible matrix. There exists a non-zero diagonal matrix D such that A^T D A=D. I'm pretty sure...
Mar16-13 12:52 AM
8 1,360
(1+2+3+ \cdots + n)^2 = 1^3 + 2^3 + 3^3 + \cdots + n^3 , n \ge 1 Provide a derivation of the identity above. I...
Jan30-12 11:23 PM
6 1,666
Is this correct (I was just a little worried that I've got a power of 1 that's not equal to 1)?: 1ln(5)/2&pi;i = 5...
Sep24-03 05:32 PM
9 2,766
By F I mean the polynomials with coefficients in field F. By F(X) I mean the rational polynomials. I have a feeling...
Jul27-11 12:16 PM
10 2,095
X=a% Y=b% Is "X*a#/X*b#" equal to "a%/b%"?
Nov18-05 09:17 AM
1 1,656
Example: ##\mathcal{L}=F(s)G(s) ## Is this homomorphism, actually isomorphism of groups? ##\mathcal{L}## is Laplace...
Dec8-13 01:44 PM
7 560
Hi, I need to figure out whether or not the polynomial x^6-2x^3-1 is irreducible (over Q). I don't think...
Mar17-05 08:46 PM
4 1,445
Here's the page: They say that the set S is a subspace of R^n. Is...
Apr20-09 12:54 PM
matt grime
2 1,070

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