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Linear & Abstract Algebra

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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
micromass
1 35,119
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
kennysmith39
3 3,009
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
RBNYC2
3 2,825
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
yiorgos
3 5,029
Definition: A semigroup is a pair (R,op) where R is a set an op is a binary operation that is closed and associative. ...
Sep8-10 06:27 AM
Eynstone
3 1,262
0, 1, 1, 1, 2, 2, 4, 8, 12, 96... What number follows?
Sep5-10 03:11 AM
adriank
3 1,029
Are there cases where there's more than one binary operation to choose from by which to define a Lie algebra for a...
Sep10-10 10:47 PM
Rasalhague
3 975
what will be the sum of this series? \Sigma nCr . 2r where r = 0 to n
Sep15-10 02:22 AM
Sherard
3 1,160
Appoint all the pairs (k, l) (both k and l in R^+) such that: \sqrt{k}+\sqrt{l}=\sqrt{4+\sqrt{7}} I'm really stuck...
Sep12-10 09:44 PM
adriank
3 1,050
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
Simon_Tyler
3 4,229
I'm reading the first chapters of "A Guide to Distribution Theory and Fourier Transforms". On page 10, Exercises...
Sep19-10 01:21 PM
Goldbeetle
3 967
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
GlobalDuty
3 1,153
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
MurdocJensen
3 12,166
Here is my problem. Any ideas are appreciated. Let P be a projection matrix (symmetric, idempotent, positive...
Sep30-10 06:28 AM
trambolin
3 6,811
not hw question and i say yes.
Oct28-10 03:52 PM
Outlined
3 857
I read the following on the wikipedia page about simple rings (http://en.wikipedia.org/wiki/Simple_ring): I do...
Oct3-10 10:32 PM
gerben
3 1,103
Sounds great thank you
Oct3-10 04:28 PM
Simon_Tyler
3 1,141
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
adriank
3 5,067
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
ForMyThunder
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
hermanni
3 1,728
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
arkajad
3 1,563
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
ichigo444
3 1,045
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
Wizlem
3 919
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
Rederick
3 4,741
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
Edgardo
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
Rasalhague
3 1,943
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
networks
3 1,595
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
CRGreathouse
3 1,436
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
Outlined
3 1,496
Prove that the collection F(N) of all fi nite subsets of N (natural numbers) is countable.
Oct28-10 05:05 PM
willem2
3 2,134
Hi, I ran into conflicting definitions of integral domain. Herstein defines a ring where existence of unity for...
Nov7-10 04:10 PM
mathwonk
3 1,406
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
Outlined
3 1,176
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
gerben
3 1,716
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
mathwonk
3 2,198
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
josh_machine
3 3,450
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
andresordonez
3 2,178
How to proof that equation? a^m \equiv a^{m-\phi(m)} mod m ?
Jan12-11 08:01 AM
oszust001
3 1,257
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
kamil9876
3 912
Hello I'm trying to proof the following: f is a semilinear transformation between the vectorspaces V \rightarrow...
Dec18-10 10:27 AM
ilia1987
3 1,327
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
AlephZero
3 3,893
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 1,903

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