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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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Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:24 AM
1 30,445
Hello, I noticed that it is possible to define an inverse for the convolution operator so that a function f convolved...
Jul4-09 07:14 PM
7 9,527
Can you help me with this problem: if a^2 divides b^2, show that a divides b. This was a homework question that I...
Oct24-09 05:42 AM
23 9,503
I am really confused on this topic. can you give me an example and explain how you found, pleaseee! for example,...
Jul28-10 02:41 PM
14 9,500
I am trying to find the Nth power of a general 2x2 real matrix. This seemed simple at first, but I am running into...
Dec25-09 09:24 AM
4 9,490
I need help proving the following: 1 A non-square matrix cannot have both a left and a right inverse 2 If a...
Nov4-07 01:18 PM
2 9,454
Hey, I have a set of quadratic equations in the form of: ax^2 -bxy + cy^2 = d ax^2 -bxz + cz^2 = d ay^2 -byz +...
May11-11 01:43 PM
20 9,423
Let V be a vector space over the complex field. If V has an inner product <\cdot,\cdot>, and ||\cdot|| is the...
May21-10 02:12 PM
1 9,406
How can you show that an arbitrary n \times n matrix has n linearly independent eigenvectors? What if all you know...
May4-09 07:54 PM
3 9,393
Hi, has anyone else seen this news item on how to...
Mar17-11 05:26 PM
12 9,379
Hi, I'm trying to solve the following matrix equation: XAX' = B where A,B are known...
Aug11-05 03:21 PM
0 9,349
Hello I recall, I think, that there is a lemma wich states that a 2x2 symmetric matrix can be diagonalized so that...
Dec28-11 06:52 AM
5 9,345
Someone please help me show that (uv)^n= Summation {u^(i)v^(n-i)} where i=0 the starting point and n is the ending...
Mar3-04 09:31 PM
Ed Quanta
18 9,327
Do you think you could do vector operations in polar coordinates?
Oct29-04 01:39 AM
James R
2 9,322
Hi, Is there a formula to do this? The textbook just says to "reverse" the action of T to get T^-1 (T inverse). Can...
Jul15-05 09:30 PM
7 9,321
How is measure theory associated with number theory, if at all. If they are connected, can anyone give a link?
Nov21-07 04:02 PM
18 9,314
Wikipedia details the technique for converting from toroidal coords to cartesian. How do you convert the other way? ...
Feb26-08 04:47 AM
22 9,295
Hi, I recently became interested in some number theoretical questions. I have actually never really studied it...
Sep11-08 09:08 PM
27 9,272
If A and B are idempotent(A=A^2) and AB=BA, prove that AB is idempotent. this is what i got so far. AB=BA...
Oct15-07 03:02 PM
9 9,267
Is any formula that produces nth prime ? if not visit this web site
Jul18-08 11:49 PM
48 9,256
So I'm considering dimensions of real vector spaces. I found myself thinking about the following: So for the...
Mar4-08 10:54 PM
1 9,252
I'm stuck on the following problem: Describe the span of the vectors u1 and u2 in R^3, where u1 = (1, 1, 1),...
Jun30-05 11:05 PM
6 9,248
Hi,I am a Chinese sophomore major in software engineering.I am reading Artin's Algebrarecently and have come across...
Sep8-06 06:01 PM
6 9,243
Springer is having their annual Yellow Book sale and I was going to pick up an algebra text to supplement Dummitt and...
Oct15-06 01:27 PM
7 9,230
I have the second printing of the first edition of Herstein's 'Topics in Algebra', published 1964. On page 58 near...
Aug30-08 01:05 PM
6 9,224
Hello, I am having trouble understanding groups in my group theory class. I am not confident on how to approach the...
Oct29-03 06:38 PM
4 9,210
I just have one question about the proof. Why does (p-1)!a^{p-1}=(p-1)!\pmod{p}? It seems like it would be true if...
Sep10-05 08:54 PM
5 9,177
Hi there:) I found a quick formula for calculate perfect numbers. T(v)={{*}^2}/128 - {*}/16 T(v-1) is the...
Jun27-07 09:34 PM
9 9,177
hi that day, a friends of mine asked me to find out the last digit of 3^999. i knew that i have to find out 3^999 mod...
Apr9-06 08:22 AM
8 9,152
We are currently using Dummit & Foote's Abstract Algebra book in a gradute course of the same name. Recently, I had...
Sep2-06 05:17 PM
9 9,092
Hi, I have forgotten the formula for calculating the second norm of matrix. Does anyone know the formula? Regards,...
Sep17-04 12:31 PM
2 9,082
Hi, this is my first post here, so bare with me. So I need to compute the eigenvectors of a large matrix...
Jul17-08 06:48 PM
9 9,033
Suppose we have a system of 2 equations in 2 unknowns x,y: a1x+b1y=c1 a2x+b2y=c2 If the determinant of is...
Sep20-09 01:46 AM
1 9,014
is the gcd of two successive integers (n, n+1) always equal to 1? i.e., are two successive integers always coprime? it...
Mar15-07 10:03 AM
Moo Of Doom
8 8,987
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
8 8,977
I do not know if this counts as number theory, but I came to this question while studying number theory, so I post...
Mar11-08 01:29 PM
11 8,954
HI, I am taking linear algebra this semester, So i wanted to know..what does linear algebra deals with? Is it really...
Jan14-06 04:28 PM
Kouros Khamoushi
17 8,941
Hi! I'm in serious need of some help. I am supposed to show that a transformation \mathcal{A} = \mathbb{R}^n...
Jan31-04 08:00 AM
matt grime
1 8,905
How do i comput the euler phi function of a large interger? i know that if p is prime then phi(p)=p-1 and i've found...
Jun25-09 03:44 AM
5 8,896
I'm reading through the book "Linear Algebra", by Jim Hefferon (which you can download for free!). In section I.3, he...
Apr20-05 05:45 PM
2 8,888
I'm not saying PF is a bad forum....but *What are some good books on number theory? --I'm a HS senior, currently...
Nov11-05 07:10 PM
4 8,887

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