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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 36,214
This is a question in my textbook: "The hyperplanes H1 and H2 have dimensions p and q, respectively. What is the...
Aug6-08 11:48 AM
JG89
5 1,765
I am a 9th grade student and having problems solving this question : What is the remainder when 1^5 + 2^5 + 3^5 +...
Oct3-11 03:43 AM
Xitami
6 1,940
can anyone help me?
May26-07 11:22 PM
mathwonk
1 2,706
i am still confused how to prove that a set is a basis other than proving it linearly independent and system of...
May16-11 12:25 PM
elabed haidar
5 1,336
I am trying to relate eigenvalues with singular values. In particular, I'm trying to show that for any eigenvalue of...
Apr8-11 03:10 PM
wisvuze
2 753
I am uneducated in the maths and I have self taught myself algebra and introductory calculus. I sit up at night and...
Sep2-10 08:14 PM
ramsey2879
6 2,569
I came across this Proposition in my book, and I know it's something really simple that I'm missing, but I can't seem...
Aug7-09 08:51 AM
rasmhop
1 1,474
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
Abuattallah
0 591
Hey all. I'm not too sharp on linear algebra. I've done a first year university course on it, but that was a couple...
Jan10-11 01:15 PM
hotvette
1 758
everything i have to prove seems impossible then i see it done and it seems so easy any help on starting a...
Feb22-06 04:03 AM
matt grime
7 1,588
I don't know if the book or I'm the one is the problem . Last day, I borrowed a book titled Linear Algebra, 2nd...
Sep24-09 05:39 AM
Landau
10 5,060
I just finished Differential Equations, and I know how to find eigenvalues/eigenvectors, and I understand how to use...
Mar1-11 03:19 PM
mathwonk
29 17,183
It's like a riddle thinger.. If 9 times 9 is 7 10 times 9 is 9 10 times 8 is 8 8 time 8 is 2 What is 9 times...
Mar23-04 01:09 PM
TeV
3 1,787
I don't know how to make a thesis, how to present it, and my mathematical expression may be terrible. But who...
Nov22-10 08:35 AM
epsi00
2 1,211
i dont get the point of pseudovectors. the only example I ever see is the cross product, and their reasoning is that...
Aug21-09 11:47 AM
Jcpaks3
7 4,160
Let V be a complex inner product space and T a self-adjoint linear operator on V. I'm trying to show a + iTa = b +...
Dec12-09 01:10 PM
CoachZ
2 1,185
I was studying (yet another) number theory problem, described here: Prove that the equation x^3+y^3+z^3+t^3=1999...
Feb17-12 02:58 PM
Anti-Crackpot
24 3,704
i am puzzled about the method of finding the Im in one axample i see the method of thaking the column withound the...
Feb9-08 09:06 AM
transgalactic
0 1,400
alsalam alekum hi i need a help in some question i try but i can not solve it i have a final exam...
Dec10-06 02:07 PM
mathwonk
9 2,314
rank(A+B)>=min{rank(A),rank(B)},which holds for allA,B in positive semidefinite matrix
Apr3-09 09:01 PM
mathsgao
0 1,057
Let be PI(x) the prime number counting function ,i have discovered an integral representation for it the integral is...
Feb12-05 03:07 PM
Hurkyl
21 6,176
hi, i have only basic knowledge of number theory, but would like to know a hell lot, like maths major level or...
Mar9-11 10:53 PM
mathwonk
6 2,115
Every prime number > 3 could be written as a sum of a prime number and a power of two. p,q are primes, n is...
Nov11-08 11:28 PM
CRGreathouse
93 10,899
Rv=...
Apr30-05 03:29 AM
strid
21 2,275
So, I'm trying to self-teach myself Abstract Algebra, and this idea of cosets is killing me, and I'm not completely...
Sep12-11 09:24 AM
Asmoridin
9 2,864
Hi, I've spent dozen of hours searching by my-self and dozen of hours searching on the Web. Now I need help. Who...
Nov30-04 05:39 PM
Hurkyl
6 2,661
First and foremost, let's get something straight before I post my proof: I'm not enrolled in any classes. I don't...
May7-09 09:17 AM
dt666999
14 2,803
I thought the definition of a field was the set of all real numbers plus addition and multiplication (or whatever the...
May8-12 04:58 PM
jpcjr
7 1,537
Hello, I need help in this two quetion. Please, show me all the steps to solve them. 1- Find the distence from a...
May18-09 02:57 PM
jbunniii
2 1,088
I need help proving if a + a = 0 then a = 0. Thanks!
Jul13-04 04:08 PM
mathman
1 1,454
Hi i need help to prove this theory: GCD(n.m)=1 <=> GCD((2^n)-1,(2^m)-1)=1 n,m real numbers
Dec17-08 10:33 PM
robert Ihnot
3 1,609
Hi, can somebody help me out with this question: A car is stuck on the side of the road and the driver has only a...
Sep22-04 02:12 PM
Windwaker2004
2 1,070
what are the range of values of k that gives the equation (k+1)x^2+4kx+9=0 ...I work it out :confused: ...please help
Oct5-04 07:52 PM
Spectre5
34 2,678
The Farey sequence F_n (F subscript n) for any positive integer n is the set of irreducible rational numbers a/b with...
Apr13-11 02:17 PM
Bill Simpson
5 2,106
Alright. As stated in the title above. So, a subspace is a set of vectors that satisfies: 1) It contained the zero...
Mar8-09 04:24 PM
HallsofIvy
8 9,449
I've seen it often taught that the combination of two vectors is their graphical sum, but I think that there is a...
Aug23-14 07:18 PM
mfb
4 547
We have: z = (2^(mn) - 1)/, where (2^m - 1) and (2^n - 1) are prime numbers. Prove that (2^m - 1) and (2^n - 1) are...
Nov21-10 05:50 AM
helgamauer
1 982
I know how to use determinants to solve a system of linear equations, I know I can use them to find the rank of a...
Jul18-12 06:51 AM
AlephZero
5 1,152
For an exercise, I want to axiomatize sudoku. I've came up with the definition of the sudoku puzzle in mathematical...
Mar18-11 07:23 PM
micromass
1 989
I have the following equation: (k(x)*g(x)')'=p*g(x) where k(x) = k(x+T) -- k(x) is a known periodical function...
Mar10-10 07:47 AM
simplex
1 953

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