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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 35,740
Do all linear transformations are matrix transformation? In a book by David C Lay, he wrote on page 77 that not all...
Aug2-12 04:21 PM
5 8,038
Hi, I need help with matrix derivation. I have 2 matrices of dimension 2x1, A and B. A = ^{T} B = ^{T} I would...
Aug9-12 12:53 PM
5 2,999
Def: A low discrepancy sequence is a uniformly distributed sequence with minimal discrepancy, O(logN/N). Question:...
Aug2-12 03:26 PM
3 1,403
A is a square matrix. x, b are vectors. I know for Ax=b, that given b, there are an infinite number of pairs (A, x)...
Jul26-12 07:54 AM
1 868
Hi, I have the following problem that is solved, but I get lost at one step and cannot find how to do it in the notes....
Jul26-12 08:03 AM
4 1,155
Hello everybody , I'm Adrian , new stupid among apes :biggrin: This might sound silly or obvious according to a...
Jul26-12 12:03 PM
20 3,428
Let M be a transformation matrix. C is the matrix which diagonalizes M. I'm trying to use the formula D = C-1MC. I...
Jul30-12 06:40 PM
13 2,051
Sir,i have read in wikipedia that for a relation to be ordered it should be transitive,antisymmetric,total...however...
Jul25-12 01:03 PM
1 1,296
Hi everybody I have a question that I have a guess for the answer but I want to be sure I have an identity ...
Jul26-12 01:10 PM
1 1,015
I am struggling to find a way to count the number of irrational points defined recursively which satisfies specific...
Jul26-12 11:21 PM
2 2,182
Okay so I'm a first year engineering student and I'm taking linear algebra. I understand how to take determinants...
Aug8-12 11:03 PM
11 1,910
Say I have a system of equations of the following form: a_1 A^2 + b_1 B^2 + c_1 C^2 + d_1 = f_1 a_2 A^2 + b_2 B^2...
Jul27-12 06:56 AM
3 870
Hello, Problem, let B={a_1,a_2,a_3} be a basis for C^3 defined by a_1=(1,0,-1) a_2=(1,1,1) a_3=(2,2,0) Find the...
Jul26-12 03:12 PM
0 580
how do i determine the formula for the sequence below? ...
Jul28-12 11:12 PM
10 1,975
Hey guys! I'm new here, so forgive me if I'm posting in the wrong section. I recently picked up a book on robotics...
Jul29-12 01:23 PM
7 2,979
Hi there, As you know, we can represent a Linear vector operator as a matrix product, i.e., if T(u) = v, there is a...
Jul28-12 03:11 AM
1 1,106
Assume P is a symmetric positive-definite matrix, and S to be a diagonal matrix with all its diagonal elements being...
Aug1-12 02:26 AM
3 1,247
I originally asked this in the Calculus & Analysis forum. But perhaps this is better suited as a question in Abstract...
Aug5-12 12:12 AM
6 1,947
For an arbitrary distance the equation is: \sqrt{\Sigma_{i}^{n}x_{i}^{2}} I would like to know what are the...
Aug1-12 04:12 PM
5 1,133
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 1,319
I'm working on Mathematical methods in the Physical Sciences by Mary L Boas on my own, and I sometimes check Cramster...
Jul30-12 06:34 PM
0 693
I am having trouble understanding the permutations of a finite set in general. I want to know what it may be used for,...
Aug3-12 01:59 PM
3 1,141
First,could you please clear this doubt- A polynomial with rational coefficients does not form a vector space over...
Aug2-12 09:47 PM
4 1,375
Students familiar with Euclidean space find the introduction of general vectors spaces pretty boring and abstract...
Aug9-12 12:10 PM
2 1,320
Hello everyone, this nxn matrix arises in my numerical scheme for solving a diffusion PDE. M =...
Aug1-12 09:09 AM
3 902
Hi all. Let C and D be codes of length n over \mathbb{F}_q of dimension k and k+l respectively. I want to count...
Aug1-12 10:44 AM
0 635
Hello All: Suppose I have a completely known linear system: A*x=b. I know the matrix A, and an x and the associated...
Aug1-12 03:35 PM
4 699
Attached is a graph of the number of goldbach partitions versus Hardy Littlewoods asymptote for even numbers of the...
Aug1-12 09:44 PM
Paul Mackenzie
0 1,254
Consider the following sequence, where the elements are rational numbers mulriplied by \pi: (\alpha_{i}) = \hspace{2...
Aug3-12 09:17 AM
2 1,413
Let us take the most mainstream irrational out there, (Pi). Now write (Pi) as: 3. 14159265... Let us number...
Aug5-12 07:34 AM
3 1,832
Hello, this is rather vague but I had a lecture around a year ago about prime numbers and how a mathematician (Hardy...
Aug7-12 11:44 PM
4 2,499
This is very weird, but I found an inconsistency in the application of Cramer's Rule for a 3x3 simple linear matrix. ...
Aug10-12 10:03 AM
3 1,041
Hi, I have to take a placement exam in linear algebra this fall so I have been studying some past exams. This is a...
Aug8-12 12:06 PM
4 1,068
I have been investigating goldbach partitions for some time. One interesting observation I have been able to...
Aug9-12 05:27 AM
Paul Mackenzie
2 1,553
Is there a way to define in how many ways can I form a number by it's portions? e.g: the number 5 has 6 ways:...
Aug8-12 05:17 PM
4 1,490
There's a geometric interpretation of the determinant of an operator in a real vector space that I've always found...
Aug9-12 03:09 PM
6 1,517
Hi, I have this problem that is solved, but I don't understand the theory behind it. It says: Which of the...
Aug8-12 07:32 PM
5 1,114
What is eigen value, eigen vector etc and what is their physical significance? -Devanand T
Aug11-12 05:57 AM
8 2,060
I was thinking about identities, and seem to have arrived at a contradiction. I'm sure I'm missing something. A(n)...
Aug11-12 12:50 PM
8 1,450
I have been having trouble of late with partial fraction decomposition. Not so much the maths, but the intuition...
Aug11-12 01:37 PM
2 1,013

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