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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 35,956
Hi, Can anyone recommend a freely available library in C or C++ that is able to calculate eigenvalues and...
Dec27-09 06:54 PM
3 11,189
What is the infinite product for the function \Xi(s)=\Gamma\left(\frac{s}{2}\right)\pi^{-s/2}\zeta(s) ?
Feb17-10 07:52 PM
3 3,425
trying to show that polynomials f(x), g(x) in Z are relatively prime in Q iff the ideal they generate in Z contains an...
Dec10-09 06:44 PM
3 804
Is the definition of an orthogonal matrix: 1. a matrix where all rows are orthonormal AND all columns are...
Dec15-09 10:08 PM
3 843
This is not a homework , i got this question from the internet. Prove:...
Dec16-09 09:02 AM
3 1,347 When a new large number such as this is discovered, does...
Dec19-09 03:45 PM
Pagan Harpoon
3 1,359
I was reading Lie Algebras in Physics by Georgi.......................second edition... Theorem 1.2: He proves that...
Dec24-09 03:15 AM
krishna mohan
3 5,356
I have trouble visualizing what exactly these are. Vector Space, Subset, Sub Space... What's the difference and how...
Dec26-09 07:50 PM
3 2,228
Hi! I have following question. I will explain it with abstract notation although in fact I am working with some...
Dec29-09 04:25 AM
3 1,723
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 1,451
3\times2^{m}+1=n^{2} For some positive integers m and n.
Jan5-10 12:13 PM
3 1,244
i'm working through the following text and I think I found an error please let me know if i'm totally wrong. ...
Jan16-10 05:44 AM
Spartan Math
3 2,543
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 1,900
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 1,056
Hi, I try to get a grasp on semi-direct products, by notes written by Patrick J. Morandi ("Semi direct products")....
Jan18-10 07:17 AM
3 1,033
Is the following correct, as far as it goes? Suppose I have a vector space V and I'm making a transformation from...
Jan17-10 10:26 AM
3 4,273
Hello dear forum members I wanted to know where are the research on the Riemann hypothesis , the latest advances ,who...
Jan20-10 07:58 AM
3 2,046
Hello everyone, I have been trying to teach myself number theory and I am stuck trying to prove a (I am sure) very...
Jan17-10 03:05 PM
3 1,893
I know it's a dumb question but I can't figure out why the totient of n is always even (I've read in a book that it...
Jan18-10 02:04 PM
3 4,793
Here is an interesting problem that I've been thinking about for a while: Let p be a prime s.t. p = 4m+1 for some...
Feb1-10 10:12 AM
3 4,092
okay so i was reading a book on representations and found this discussion and was confused:...
Jan22-10 08:29 AM
3 4,921
Hello. I have been reading a book with an introductory section on number theory and the part regarding Euler's...
Jan22-10 12:22 PM
3 2,522
From this example Anti-Aliasing section 22.4.1
Jan26-10 10:56 AM
3 1,809
Hi Folks, I have a question about determinants that is probably quite simple. I know that if you have a matrix and...
Jan27-10 09:32 AM
3 983
I wonder if all coupling set of equations are not solvable analytically? I have a equation set as follows y1 =...
Jan27-10 12:07 PM
3 1,282
Hello dear forum member I wanted to know how about the research on this branch of science.Are many people working on...
Jan31-10 06:06 AM
3 2,202
Hi, I have just started teaching linear algebra to myself. I know nothing about linear algebra so if this question...
Feb3-10 06:50 PM
3 3,088
Hey everyone, I'm taking this course called "Number Theory" and am having a lot of difficulty with it. We're...
Feb2-10 10:38 PM
3 1,678
Hi, I am new with linear algebra, and I'm having a hard time wrapping my mind around the 0 vector and the additive...
Feb2-10 07:40 AM
3 1,900
I recently teach myself linear algebra with Friedberg's textbook. And I have a question about adjoint operator, which...
Feb4-10 06:04 AM
3 1,167
hi. i'm reading "quantum mechanics in hilbert space" and a don't get a basic point for bounded operators. def. 1...
Feb10-10 07:25 AM
3 953
Clearly I am missing something obvious here, but how is it that negative even numbers are zeros of the Riemann zeta...
Feb10-10 12:10 PM
3 4,560
G group, H subgroup of G. Suppose aH and bH are distinct leftcosets then Ha and Hb must be distinct right cosets? ...
Feb16-10 08:25 PM
3 2,813
"Let m and k be positive integers and φ(m) is the Euler's phi function. Then the number of integers n such that 1≤n≤mk...
Feb21-10 04:31 PM
3 1,650
I'm a physics major. As such, I have come across several situations in my studies that require the use of eigenvectors...
Feb22-10 09:04 AM
3 1,807
4=2+2, 6=3+3. Are there any other cases where an even number of the form 2p, where p is a prime, cannot be...
Feb22-10 05:20 PM
3 1,865
I am having trouble understanding this example: Let G=S_3 and H={(1),(13)}. Then the left cosets of H in G are ...
Feb25-10 02:32 AM
3 1,049
Show that (p-1)(p-2)...(p-r)==(-1)^r*r!(mod p) for r=1, 2, ..., p-1. I am having trouble getting this proof started....
Feb24-10 03:38 PM
3 1,914
1) Definition: Let m denote a positive integer and a any integer such that gcd(a,m)=1. Let h be the smallest positive...
Mar1-10 09:49 PM
3 1,961
Hello there, I have trouble understanding why the coefficients in an affine combination should add up to 1; From...
Mar9-10 04:17 AM
3 2,569

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