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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
micromass
1 35,895
How to detect redundant equation from a system of nonlinear equation? It means how to find out a system of nonlinear...
May26-12 06:02 AM
algebrat
3 2,643
Are there any nice applications of the Cayley Hamilton Theorem. I am looking for a real life application which would...
Jun22-12 02:08 AM
marygoss
3 11,315
A quadratic diophantine equation is of form: Ax^2 + Bxy + Cy^2 +Dx + Ey + F =0 Now, for A=0 and C=0, Bxy + Dx...
Apr23-12 03:06 PM
coolul007
3 2,767
Hello, I have a linear algebra problem that I need help with. Basically, I need to get the eigenvalues and...
Apr12-12 09:13 AM
HallsofIvy
3 4,096
let's say you are given the following matrix T: T11 T12 . . . T1n T21 T22 . . . T2n . ...
Apr7-12 04:12 PM
morphism
3 1,475
Given a differential field F and a linear algebraic group G over the constant field C of F, find a Picard-Vessiot...
Apr11-12 11:29 AM
morphism
3 1,274
So when dealing with a linear transformation, after we have computed the matrix of the linear transformation, and we...
Apr9-12 06:10 PM
stripes
3 1,177
i am having trouble understanding some of the "basic" concepts of my linear algebra...any help would be greatly...
Apr13-12 07:04 PM
Sankaku
3 1,470
Hi! I am a new user who is not an expert with Linear Algebra at all. I have some questions about eigen...
Apr12-12 05:25 PM
HallsofIvy
3 1,673
Is it true that if an n by n matrix A has n-linearly independent eigenvectors, then it must also be invertible because...
Apr16-12 11:28 AM
ajkoer
3 2,272
All the proofs I have seen for this theorem uses the same argument: First prove that the identity permutation has even...
Apr17-12 05:38 PM
DonAntonio
3 1,449
I have a question; help is welcome. Let sn be a linear, non-homogeneous recurrence sequence, and let hn be a...
Apr19-12 01:50 PM
dodo
3 3,042
Hi, I have read my notes and understand the theory, but I am having trouble understanding the following questions...
Apr19-12 06:30 PM
juanma101285
3 1,343
Hi, I have a square symmetrical matrix A (ugly I know) 321.1115, -57.5311, -33.9206 -57.5311, ...
Apr19-12 08:10 AM
Dr Bwts
3 1,029
- Jim Hefferon: Linear algebra Theorem 1.5 (Gauss' method). If a linear system is changed to another by one of...
Apr25-12 03:02 AM
isaac200
3 1,321
I am writing an undergraduate "thesis" on group representations (no original work, basically a glorified research...
Apr24-12 08:51 AM
Stephen Tashi
3 1,015
in 1994, as most of you know, andrew wiles was the first to solve fermat's last theorem.. 3 years later chike obo...
Apr22-12 04:10 PM
QuarkCharmer
3 2,747
Hi I know the dimension is 3, two polynomials has dimension 2 only so it cannot span P2. How would I go about...
Apr24-12 09:38 AM
DonAntonio
3 1,861
Suppose I have a matrix that looks like this 2.415212e-09 9.748863e-10 -2.415212e-09...
Apr25-12 03:21 AM
FoldHellmuth
3 1,752
So the equation is x'' + 10x' + 64x = 0 x(0) = 1 x'(0) = 0 I get general solution of e^(-5t)(c1*cos(6.245t) +...
Apr29-12 11:51 PM
FHamster
3 1,391
Hi all, I got this question from a past exam paper does the point (8 , 4 , -5) lie on the plane 7x - 3y + 4z = 8?...
Apr28-12 01:15 PM
HallsofIvy
3 1,958
I'm having a hard time visualising them. How do you plot vector fields How do you plot spanning sets? How do you...
May3-12 08:00 PM
chiro
3 1,125
Im having trouble under stand the relationships between determinats, span, basis. Given a 3x3 matrix on R3 vector...
May8-12 04:37 PM
am_knightmare
3 1,114
I am wondering how to organise all of those concepts in my head. should i think of it like: subspace > vectorspace...
May26-12 08:12 AM
algebrat
3 1,548
Hi all. I have a quick question In this wikilink en.wikipedia.org/wiki/Positive-definite_matrix in the first...
May11-12 08:00 PM
chiro
3 1,091
Hi all, How do you find out if this Parametric equation x = -2t + 3 ; y = -t - 1 ; z = -3t + 2 Is...
May13-12 08:38 AM
HallsofIvy
3 2,800
Why is norm of (pauli matrix)/sqrt(2)=1
May13-12 08:44 AM
HallsofIvy
3 1,509
Let \begin{equation*} A=% \begin{bmatrix} 0 & 1 & \cdots & n-1 & n \\ 1 & 0 & \cdots & n-2 & n-1 \\ \vdots &...
May14-12 05:53 AM
tiny-tim
3 1,577
Hi: I am a newbie to linear algebra; I have a problem about vector space and subspaces. How to distinguish these...
May17-12 05:44 PM
applechu
3 1,041
Hello, The formulation of the question says: Show, using congruences and disjunction of cases, which,for all...
May17-12 08:09 PM
ramsey2879
3 2,201
Is it correct to say that any order 4 group is only isomorphic to either C4 or C2+C2 ? where C4 is the order 4...
May23-12 03:10 PM
lpetrich
3 1,747
There is a difference between the multiplication op in the Field of Reals and the Scaling op in the Set of Vectors. In...
May23-12 04:57 PM
SteveL27
3 1,437
good day! i need to prove that the alternating group An is a normal subgroup of symmetric group, Sn, and i just want...
May26-12 07:34 PM
haruspex
3 1,191
I'm doing a particular form of regression that gives a eigenvector and matrix for the solution. I'm using two matrix...
May31-12 08:51 PM
chiro
3 1,295
Ok, to start off I have been examining the structure of polynomials. For instance, consider the general polynomial ...
Jun1-12 02:38 PM
galoisjr
3 1,371
i'm trying to find a version of PARI or PARI/GP or a comparable number theory program that will run on my MacBook Pro....
Jun16-12 01:19 AM
TylerH
3 2,167
What is the LaTex and infinite sum for 1-2-1/2+3-1/2-4-1/2+5-1/2 . . . Does it converge anyway? I am too old for...
Jun5-12 04:16 AM
Xitami
3 2,201
Show that a rotation by θ followed by a rotation by φ can be expressed as either two consecutive rotations, or one...
Jun13-12 03:47 PM
HallsofIvy
3 1,289
Is there such a thing as a "feral polynomial" ? Saw it mentioned on an Internet forum where someone claimed to be...
Jun16-12 11:52 AM
HallsofIvy
3 976
Here's a question. Pi is said to be the ratio of a circle's circumference to its diameter. If this is the case, what...
Jun21-12 08:23 PM
SteveL27
3 2,306

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