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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 33,983
X^3+PX+Q=0 X_0 = A + B (A+B)^3 + P(A+B) + Q = 0 A^3 + B^3 + (3AB+P)(A+B) + Q = 0 The next step is 3AB+P=0
Oct17-10 12:39 AM
3 2,997
I just started reading the first chapter of Georgi Shilov's "Linear Algebra" and I have a question about his notation...
Nov28-10 04:57 PM
3 2,820
Hi, Is there a simplification for the determinant of a symmetric matrix? For example, I need to find the roots of ...
Dec18-10 04:08 PM
3 5,019
I was wondering what would be the largest possible value for a determinant, for a 3 by 3 matrix whose entries can only...
Oct11-10 06:42 PM
3 4,215
I'm reading the first chapters of "A Guide to Distribution Theory and Fourier Transforms". On page 10, Exercises...
Sep19-10 01:21 PM
3 965
what is another way to form (a+b)^c to another simple expression? like for example a^c+b^c doesnt work because its...
Sep20-10 10:12 PM
3 1,152
When I realize that I am going to have a singular matrix (after exhausting row swap options and maybe even some...
Sep22-10 09:50 PM
3 12,102
Here is my problem. Any ideas are appreciated. Let P be a projection matrix (symmetric, idempotent, positive...
Sep30-10 06:28 AM
3 6,644
not hw question and i say yes.
Oct28-10 03:52 PM
3 855
I read the following on the wikipedia page about simple rings ( I do...
Oct3-10 10:32 PM
3 1,097
Sounds great thank you
Oct3-10 04:28 PM
3 1,139
Hello everyone. I was going through my Linear Algebra Done Right textbook that threw me off. I hope this forum is...
Oct4-10 11:17 PM
3 5,063
Is it true that if a finite group G contains a subgroup of index 2, then there is an element of G with order 2?
Oct8-10 10:08 AM
3 816
I saw the following problem on my abstract algebra book (dummit && foote) , I tried to solve it but I couldn't : Let...
Oct11-10 04:03 AM
3 1,723
Let V be a finite-dimensional vector space over the field F and let T be a linear operator on V. Let c be a scalar and...
Oct12-10 12:49 PM
3 1,561
Do all linearly dependent sets have elements that are linear combinations of each other? Or does this apply only to...
Oct12-10 10:21 AM
3 1,040
Can i use the invertability of a matrix as an alternative way of determining the linear independence of a set? Thank...
Oct12-10 10:54 AM
3 915
I expanded (x+y),(x+y) and got x^2+y^2 > 2xy then replaced 2xy with 2|x,y| but now I'm stuck. I need to get it to...
Oct15-10 10:14 AM
3 4,584
Suppose I have three vectors a,b and c in R^d , And, I have that a.b < c.b(assume Euclidean inner product). What are...
Dec7-10 05:19 PM
3 1,097
I think I understand most of this Wikipedia page on the interior product ("not to be confused with inner product"): ...
Oct17-10 02:01 PM
3 1,837
Since my late interests have been related to networks, I've started a pet project focusing on natural numbers network....
Oct21-10 03:27 AM
3 1,590
Hey there, physics forums! A question occurred to me the other day: Is it true that if f \in \mathbb{Z} is monic...
Oct21-10 05:26 PM
3 1,429
We have vectors x,y of size n and a matrix A of size nxn. Is it true that the matrix xyTA has at most one non zero...
Nov4-10 09:27 AM
3 1,481
Prove that the collection F(N) of all fi nite subsets of N (natural numbers) is countable.
Oct28-10 05:05 PM
3 2,127
Hi, I ran into conflicting definitions of integral domain. Herstein defines a ring where existence of unity for...
Nov7-10 04:10 PM
3 1,398
I was wondering, if we want to define a morphism from \mathbb{Z}2006 to, lets say \mathbb{Z}3008. Obviously, all...
Nov7-10 04:48 PM
3 1,171
Im struggling to find proof for this suspicion I have; Given is a function f(t) and a normalised function h(t), and...
Nov24-10 10:22 AM
3 1,710
Question: Show that if R is an integral domain then R^x=R^x(or that the units in R are precisely the units in R, but...
Nov19-10 08:49 AM
3 2,194
Some one please help me how to prove the following: \dot{A}:B + A:\dot{B}=A^{\nabla J}:B+A:B^{\nabla J} A and B...
Nov21-10 03:55 PM
3 3,143
Hi, I read that the general form of an inner product on \mathbf{C}^n is: \langle \vec{x} , \vec{y} \rangle =...
Nov22-10 08:38 AM
3 2,176
How to proof that equation? a^m \equiv a^{m-\phi(m)} mod m ?
Jan12-11 08:01 AM
3 1,250
No. This isn't homework. And I think I am right there with this one. I'm interested in the intersection of groups...
Dec14-10 10:45 PM
3 910
Hello I'm trying to proof the following: f is a semilinear transformation between the vectorspaces V \rightarrow...
Dec18-10 10:27 AM
3 1,322
Hello everybody, To compute an observable in a physical problem I need to compute the determinant of a skew matrix...
Jan7-11 04:15 PM
3 3,888
Where, on the internet, can one learn the method to solving equations modulus a number? I'd like to learn the method...
Jan10-11 11:54 PM
robert Ihnot
3 1,898
According to this,
Jan12-11 07:27 PM
3 2,394
When I have a matrix like this: 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 0 0 0 1 I can get most non zero values in...
Jan21-11 02:07 AM
3 1,736
Hi, everyone: I will be teaching an intro course in Linear Algebra this Spring. Problem I am having...
Jan22-11 05:45 PM
3 2,578
This could be the way to proof. remember, this is not a proof. today I found a clue to solution to Riemann...
Jan25-11 11:44 AM
3 1,394
analytically continuing the Riemann zeta function (RZF) using the gamma function leads to this identify: n^{-s}...
Jan26-11 01:46 AM
3 1,324

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