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Linear & Abstract Algebra

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Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:24 AM
1 30,541
So i have 3 vectors: a= b= c= How do I calculate the L in order to make these vecotrs linearly dependent? ...
Oct24-11 12:49 PM
3 603
\frac{d}{dx}f(x)=\frac{d}{dx} how to get this derivative, what is the answer? is there textbook describe it?
Oct24-11 09:39 AM
3 944
Hi, Does anybody know how to construct a DFT matrix for the algebra ℂ, where S3 is the symmetry group of a triangle...
Oct24-11 03:58 AM
0 1,040
(At least, I think it's simple.) Disclaimer: I'm approaching this subject from the vantage point of a chemist, so...
Oct23-11 04:11 PM
1 869
When studying complex numbers/vectors/functions and so forth you constantly encounter the idea of an inner product of...
Oct23-11 10:17 AM
3 1,013
Hi, I'll get right to it: 1. Why is finding the cycle important in the Pollard rho factorization method? Is it so...
Oct22-11 07:51 PM
0 1,793
In my lecture notes my prof used the eigenvalue c= 1 + i and ended up with the matrix with (5 3+i) as row 1, and the...
Oct22-11 01:21 PM
5 1,416
If we have a matrix M with a kernel, in many cases there exists a projection operator P onto the kernel of M...
Oct22-11 04:20 AM
2 1,669
Hello, I tried to figure out what is the maximum count of arithmetic operation (*,:,+,-) need for gauss elimination...
Oct21-11 06:54 AM
1 987
I'm looking for help to this problem. Here is my attempt: I being the identity matrix and B^(-1) being B to the...
Oct20-11 11:07 PM
2 1,656
Is it possible for two planes to meet in a point instead of in a line?
Oct20-11 10:53 PM
3 1,048
Hello -- I have some reference object R (e.g. a protein), and I've got two transformations t1 and t2 (e.g. a...
Oct20-11 08:04 PM
1 661
Definition of notation: First let x for this problem denote the elementart tensor product. Then let (AxB) acting on...
Oct20-11 07:55 PM
0 571
Hi there, this is my first post here so I'm sorry if this is in the wrong place, asked before, standard newbie...
Oct20-11 06:12 PM
34 5,450
I'm currently reading Durbin's Modern Algebra, and I have a question about the positive set in ordered integral...
Oct20-11 04:56 PM
1 1,279
Hi, I'm struggling with the following: I have a colored graph, and I used Bliss to find the generators group for the...
Oct20-11 01:19 PM
0 639
A few classmates and I need help with some proofs. Our test is in a few days, and we can't seem to figure out these...
Oct20-11 08:16 AM
7 2,645
Why is it that a metric space (X,d) always has two clopen subsets; namely {0}, and X itself? Rudin calls it...
Oct19-11 10:19 PM
3 1,673
I'm slightly confused about why complex numbers are required to find all n roots of a number. Is it specifically...
Oct19-11 08:35 PM
7 2,599
From Herstein's Abstract Algebra. Section 2.7 #7 If φ is a homomorphism of G onto G' and N ◅ G, show that φ(N)...
Oct19-11 02:57 AM
2 1,060
If anyone has any links to good introductory information about matrix completions, please post them here for me. ...
Oct18-11 08:35 PM
0 493
Hi guys! I need to solve a matrix. I have 3 equations, 3 unknowns, straightforward stuff. And I know it's...
Oct18-11 07:14 PM
3 1,630
Hello everyone, I am currently taking an introductory course in linear algebra. I am begining to struggle with...
Oct18-11 06:07 PM
1 764
Let F_n and F_n+1 be successive Fibonnaci numbers. Then |(F_n+1)/(F_n) - Phi | < 1/(2(F_n)^2) Where Phi is the...
Oct18-11 03:14 PM
Matt Benesi
3 1,714
Hello everybody, I would like to know if there are any techniques to handle ill-conditioned or/and singular...
Oct18-11 05:26 AM
1 1,199
Hello. I recall from Linear Algebra there being an ultra-fast shortcut for finding the eigenvectors of a 2x2 matrix...
Oct17-11 03:58 PM
0 2,241
How does knowing that two matrices anticommute AB=-BA and that A^2=1 and B^2=1 help me to know how to find the trace...
Oct17-11 01:38 PM
I like Serena
16 2,687
a,b,c,d\in\mathbb{R^{+}}\;\;,a+b+c+d=1. Then prove that \left(...
Oct17-11 09:40 AM
1 1,248
So I have 4 points, one of them has an unknown x co-ordinate. How would I show that they are coplanar? With 3 points I...
Oct17-11 08:47 AM
5 2,428
Let F be a field. Let c \in F. I am trying to show that if c = f^2 where f\in F], then f\in F. So I am...
Oct16-11 07:59 PM
1 733
I am puzzled by the following infinite product: Let B > A A - B = * = * * = * * * etc.
Oct16-11 05:30 PM
7 1,719
I need to show that addition and multiplication are well-defined in Z/nZ. So far, I've figured out that I need to work...
Oct16-11 04:57 PM
1 1,797
This thread is concerned with rectangular triangle with one side ( = s) and hypothenuse (t = 2 s + 1) given and we...
Oct15-11 10:40 PM
7 4,390
Let n>2. Where n is integer show that sqrt(n!) is irrational. I am supposed to use the Chebyshev theorem that for...
Oct15-11 06:12 PM
7 2,743
EQUALITY OF ROW AND COLUMN RANK (o'Neil's proof) Is there smt wrong? ...
Oct14-11 06:05 PM
1 1,236
So, Google recently interviewed one of my friend as an employee candidate. How many ways can a two by n rectangular...
Oct14-11 04:32 PM
9 2,441
Now, I can show that if n is prime then Z/Zn is a field a = a b = an-2 a*b = an-1 = 1 (mod n) --> Fermat's...
Oct14-11 11:45 AM
3 1,801
How to calculate following integral?: {lim}_{t→∞}\int_{0}^{t} \exp (A(t-s)) B B^{T} \exp (A^{T}(t-s))ds where...
Oct14-11 11:17 AM
0 1,623
Let Q be the quaternion group {1, -1, i, -i, j, -j, k, -k}. Show that the normal subgroup {1, -1, i, -i} is the kernal...
Oct14-11 10:32 AM
9 1,896
While R^1, R^2, ... , R^n comes quite naturally, is it even conceivable to ponder the meaning of R^(-n)? Is this...
Oct14-11 05:55 AM
7 1,696

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