# Linear & Abstract Algebra

- Vector spaces and linear transformations. Groups and other algebraic structures along with Number Theory.
 Meta Thread / Thread Starter Last Post Replies Views Views: 5,097 Announcement: Follow us on social media and spread the word about PF! Jan16-12 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 36,213 How do I find out if a number is a perfect square modulo a? For example, is 4 (mod 10) a perfect square? Jan2-05 07:21 PM daster 9 10,832 in mathworld, they say that conway proved "that Collatz-type problems can be formally undecidable." does it mean that... Jan4-05 11:07 AM master_coda 14 3,568 Hi all, I don't know how to solve this: The vector u has the coordinates ( u_1, u_2, u_3 ) to the base a = { (... Jan5-05 04:31 PM mathwonk 2 1,779 I am deleting Jan6-05 06:18 AM matt grime 22 6,186 I had a question regarding subspaces. Given vectors (a,b,c,d) s.t.... Jan6-05 09:35 PM Hurkyl 9 1,720 How do u show that a matrix is diagonizable ? Thanks Jan8-05 11:11 PM mathwonk 3 2,875 Find the solution in C to the following linear system of equations. (a) (1-i)z + 4w = 2 + 8i (b) 3z + (1+i)w = 1... Jan10-05 02:43 PM 3.14159265358979 3 1,627 I have some questions concerning the rationnal numbers and the vector spaces. Let's take the set of rational number Q... Jan11-05 07:34 AM seratend 39 4,732 Hi all, when is a one-element set is linearly independent? Just when it's non-zero? I am not sure how to prove this... Jan14-05 03:18 PM EvLer 4 1,392 Hi, What's the relationship between the image and kernel of T and the image and kernel of Tn? I think we saw in... Jan14-05 09:52 PM AKG 3 2,790 Hi all, I wanted to study Lie groups and their connections with differential geometry. But i dont want to get... Jan14-05 11:39 PM mathwonk 2 2,068 I have a homework problem here I am a little at a loss on due to not very good examples in class and the part of the... Jan16-05 02:59 PM DaVinci 6 21,982 I guess i didn't get the last one completely because i've been having a hard time with this one. Solve 3x + iy +... Jan17-05 03:03 AM 3.14159265358979 8 5,693 Okay, I've had this question lingering on my mind for a LONG time, so I'm finally going to ask. I took a semester of... Jan17-05 04:43 PM JasonRox 20 3,655 I have this materials mathematical problem(its not homework) and I figured people here are good at... Jan20-05 12:01 PM K.J.Healey 0 3,828 I tried to solve this Gaussian elimination algorithm problem (matrices) but for some reason when I plug in the x... Jan24-05 11:52 PM cronxeh 1 3,099 prove that there are infinetely many primes of the form 3n+1 we used : Assume there is a finitely # of primes... Jan25-05 11:10 AM shmoe 4 3,599 Hi everybody, I have a small question. I know that we have defined multiplication of a number and a vector ,for... Jan26-05 08:47 AM C0nfused 3 4,821 Hi everyone, general question: is a solution set for a particular system a vector space? I know it can be if there is... Jan26-05 06:51 PM HallsofIvy 2 1,056 I was recently writing a program that needed to encode a permutation into a single integer number (an index, from 0... Jan27-05 10:22 AM dodo 4 2,050 I'm working on a skeletal animation system, and I want to interpolate the rotations between frames. The rotations are... Jan27-05 04:42 PM BobG 2 7,424 I just want to confirm these two questions. Thanks in advance. (1) Describe all solutions of Ax = 0 in parametric... Jan29-05 10:46 AM HallsofIvy 2 4,787 Hi, I'm a high school senior in my first semester of Calculus, so my math is pretty limited at the moment. I was... Jan30-05 04:07 AM Muzza 12 3,608 Hello, I have a hw problem I need some help with. Given 3 matrices: A = ^t B = ^t C = ^t I need to use test of... Jan31-05 08:36 AM EvLer 4 1,373 hai, what is hilbert space ?any important links known to you regarding that?please send some links . Jan31-05 09:47 PM mathwonk 5 2,463 Hi, Does different eigenvector algorithm give different result? eg. using QL with implicit shifts frm (Numerical... Feb1-05 09:48 PM mathwonk 3 1,232 I need to show that this is an algebraic number. In other words, I need to show: an*x^n + an1*x^(n-1) + ... + a1... Feb2-05 12:51 AM robert Ihnot 1 1,235 In case I have a transportation model (tabular form) with a dummy source... so each cell has a cost of $0. If I were... Feb2-05 02:24 AM irony of truth 0 2,531 What is a basis for the vector space V which consists of all sequences g(n) = a_n in F that have only a finite... Feb3-05 11:33 AM mathwonk 2 1,676 First the easy one (I think): Show that x4-22x3+1 is irreducable (is that how it's spelled?) over Q. Now the... Feb3-05 11:30 PM mathwonk 19 2,997 Im a second semester engineering student and im a few weeks into a linear algebra class. I understand most of it, but... Feb4-05 10:49 AM mathwonk 5 1,111 This is rather silly... Imagine you paid$10 for a \$5 calculator. Then you paid twice the real amount. Imagine you... Feb4-05 05:07 PM DoubleMike 15 1,503 I'm having a problem with a proof I came across in one of my calculus books but it's not the calculus part of the... Feb5-05 12:56 AM mathwonk 3 1,896 Question from a mathematics dunce. I recently read that Merseinne primes are searched for using 2^x -1 where x is... Feb6-05 12:00 AM robert Ihnot 8 1,857 Q. Consider the case with V being the kth order polynomials with real coefficients. Let the derivative mapping D be... Feb6-05 11:53 PM eckiller 2 1,264 In my hw problem, I am supposed to find out whether an element belongs to the rowspace of a matrix. So, what I did is... Feb7-05 03:20 AM Galileo 3 1,983 ............. Feb7-05 08:09 PM andytran 0 1,344 who can prove that if we have x=((3^n)*m-1)/(2^k) where x and m are odd then x will be: x=(2^(n-1))*m1-1 where m1 is... Feb8-05 01:13 PM TenaliRaman 1 1,594 hi! would like to know what a homeomorphism means ( how do you geometrically visualize it?) AND is the symbol 8... Feb8-05 03:23 PM mathwonk 10 3,108 Hi please help me out! 1a) Determine whether this subset of C(R) is linearly independent or not; the dimension of... Feb8-05 07:32 PM mathwonk 10 1,194