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Linear & Abstract Algebra

- Vector spaces and linear transformations. Groups and other algebraic structures along with Number Theory.
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Jan16-12 Greg Bernhardt
Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:24 AM
1 35,094
Claim: n! + 1 and (n+1)! + 1 are relatively prime. How can we prove this? Can we use mathematical induction? Base...
Jan14-10 01:09 AM
45 7,096
Hi All, This is my first post. I am an Electronics Engineer and came by this great forum while searching something...
Jan13-10 10:25 PM
2 1,327
hi every on i search for 3 books in the cryptography but i could found it please help me to get it the...
Jan13-10 03:58 PM
4 1,446
Ok so I am not a math major and i haven't taken an abstract algebra class but i am curoius about the subject. I have...
Jan13-10 01:32 PM
3 1,045
hi, this is my first post on this site so please excuse me (and correct me) if i am not posting according to the...
Jan13-10 07:00 AM
10 2,884
Is there such a thing as a cross product for R4 vectors? Can you use the permutation symbol to express it in the same...
Jan13-10 04:16 AM
5 12,112
What does this phrase mean? I see it every now and again and can't figure it out. Are they say group B is the...
Jan12-10 01:48 PM
8 1,440
Hello, I am working through some examples for revision purposes and am pondering over this question so would...
Jan11-10 12:47 PM
1 2,531
Hi I'd like to show that SU(n) is a normal subgroup of U(n). Here are my thoughts: 1)The kernel of of...
Jan11-10 07:47 AM
3 1,870
Does anyone know how can I calculate the abeliazation of the group G=<a,b> (when a and b are totally free and...
Jan10-10 06:48 PM
1 930
Hey guys, i've been doing a lot of reading on quantum mechanics lately and realised immediately that i am not going to...
Jan10-10 06:29 PM
1 1,013
Hello, I came to some problems with multiplcation of some matrices. how do I multply this: x y z with a b
Jan10-10 01:39 PM
10 919
Hello, Let's say I have a 2x2 matrix,we call it A with the eigenvalues +1 , -1. Now I lets define that m=m0*A. (m0...
Jan10-10 01:35 PM
1 750
Theorem: For all a,b,c E Z such that a and b are not both 0, there exist x,y E Z such that ax+by=c <=> gcd(a,b)|c....
Jan9-10 08:56 PM
13 5,330
I have question, can someone please check whether my answer is correct or not: 1)Let \pi_i be representations of a...
Jan9-10 12:40 PM
6 1,256
my question is , given the Group G of symmetries for the equation x^{4} + a^{2}=0 for some 'a' Real valued i...
Jan8-10 04:51 PM
1 750
Two questions: 1. We add the digits of any number. If the sum is divisible by 3, then that number is divisible by...
Jan8-10 05:17 AM
2 5,807
I am trying to show show that there is no homomorphism from Zp1 to Zp2. if p1 and p2 are different prime numbers. ...
Jan7-10 04:57 PM
14 2,783
please explain me associativity for multiplication modulo n
Jan7-10 06:31 AM
1 2,413
I've been trying to prove something that seems obvious but have had no success thus far: say G is a finite group...
Jan7-10 03:55 AM
2 821
HELLO ! THIS IS MY FIRST POST HERE. I spend countless hours playing with numbers and found a general formula to...
Jan6-10 11:06 PM
26 6,048
I'm not sure if this is the best forum for this post, but no single forum seems to be a better fit, and I bet the...
Jan6-10 10:42 PM
0 1,268
Just curious, are there any?
Jan6-10 10:18 PM
8 2,812
Can anyone give me an element in a cyclotomic extension of the rationals that has modulus one but that isn't an...
Jan6-10 07:51 AM
0 748
These are probably a bit stupid, so I hope you don't mind me asking them... 1)what is a fundamental representation?...
Jan6-10 07:26 AM
4 1,037
I've noticed that the order that you do some elementary row operations in for by hand row reduction or gaussian...
Jan5-10 08:54 PM
0 1,626
I'm reviewing my Group theory notes at the moment. I have a few questions. 1)what is the "connected component of...
Jan5-10 08:29 PM
4 1,167
3\times2^{m}+1=n^{2} For some positive integers m and n.
Jan5-10 12:13 PM
3 1,234
I'm reading the book "Numbers" by Ebbinghaus et al. (Springer Verlag); I can't understand what's the main idea about...
Jan5-10 04:16 AM
5 2,907
Hi, I have been struggling with this problem for a while, and I have not found the answer in textbooks or google. ...
Jan4-10 04:57 PM
1 4,133
In the first equation on this page, is there a...
Jan4-10 05:12 AM
1 953
Dear all, does any of you know if there is a routine from popular math libraries (like lapack) which can be used to...
Jan4-10 03:34 AM
0 1,371
I'm working through a proof that every linear operator, A, can be represented by a matrix, A_{ij}. So far I've got ...
Jan2-10 03:43 PM
2 5,015
Help me to solve this equation in algebra More than its width A rectangle has a length of 10 mm long . It has a...
Jan2-10 03:31 AM
1 705
Any pointers and/or help with proving the following would be appreciated For every prime number n, there exist...
Jan1-10 10:04 PM
2 1,798
I'm having trouble grasping what an irreducible representation is. Can someone explain what this is through an example...
Jan1-10 09:04 PM
3 1,435
When we solve for a variable in say two linear equations, by what property we are allowed to add one equation to the...
Jan1-10 08:02 PM
7 2,263
Hi, it is a clear fact that rotations in 3D keep the vectors on the rotation axis unchanged. In 2D only the zero...
Jan1-10 11:39 AM
10 3,261
I still don't fully understand the explicit construction of the tensor product space of two vector spaces, in spite of...
Dec31-09 05:16 PM
12 5,043
Why isn't there a superalgebra having only three basis, c, a,b where c is even and a,b are odd and =a, =-b, =c?
Dec31-09 10:19 AM
1 975

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