# Linear & Abstract Algebra

- Vector spaces and linear transformations. Groups and other algebraic structures along with Number Theory.
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 Views: 8,462 Announcement: Two free ways to get Gold Membership! Jan17-12 Meta Thread / Thread Starter Last Post Replies Views 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 29,818 Hi, It is a well known fact that in an inverse linear problem low condition numbers have low noise amplification... Y 01:43 PM coquelicot 1 169 Hi, I'm reading Shilov's linear algebra and in part 2.44 he talks about linear independent vectors in a subspace L... Y 12:55 AM micromass 11 139 Not sure if this is the right forum. This is a mathematical question, but it is from signals. An LTI system is a... Mar7-14 02:26 PM marcusl 6 169 Hello, if we consider a n\times n symmetric positive definite matrix, we can prove that it has n positive... Mar7-14 07:04 AM coquelicot 1 258 Two days ago, I was absolutely certain to have proved the theorem hereafter. But then, micromass pointed out that... Mar6-14 01:22 PM coquelicot 0 118 We define basis as: Let M be a module over a ring R with unity and let S be a subset of M. Then S is called a basis... Mar5-14 11:58 AM micromass 1 124 Please excuse me for my less knowledge. I always tried to physically visualise mathematics facts. My first question... Mar5-14 04:25 AM gianeshwar 3 264 Mathematicians have produced a wide variety of long and complex proofs of the existence of free groups, and there... Mar5-14 02:01 AM jgens 5 370 A vector can be expressed by a column matrix or by a row matrix, however is preferably use the column matrix for... Mar4-14 04:52 PM Jhenrique 2 123 I think I have proved the following theorem: "If R is an integral domain, x is integral of degree n over R, and K... Mar4-14 04:22 PM coquelicot 9 147 In Gilbert Strang's book on linear algebra, he mentions that pivot columns are not combinations of earlier columns and... Mar4-14 04:53 AM sarvesh0303 2 193 Cullen in a question seems to say this; You have a matrix A of any size. Make a matrix B consisting of only the... Mar1-14 09:22 PM Simon Bridge 9 380 Hi! I have two sets of matrices where only the sign of each field might differ. I'm trying to calculate a generally... Mar1-14 04:15 AM Fredrik 1 229 I want to show a vector in matrix but I didnt uderstand differentes between row matrix and column matrix Lets suppose... Feb28-14 09:59 AM Fredrik 25 477 Hi all, I am having trouble understanding inner products. Specifically, using inner products to find the angle between... Feb28-14 09:51 AM Fredrik 7 308 Define ##\Omega: \mathbb{Z_{p^n}} \rightarrow \mathbb{Z_{p^n}}## where ##p## is prime with ##\ \ \ \ \ \ \Omega(x)... Feb27-14 11:27 PM Bachelier 5 223 Hi everyone. Long time lurker first time poster. I am taking a linear algebra class this semester and I am really... Feb27-14 10:03 PM mathwonk 5 323 In the book Galois Theory by Emil Artin (2nd Ed 1965 of a work copyrighted 1942), he says By contrast the modern... Feb27-14 04:24 PM mathman 1 215 Hi everyone, I have a square matrix J \in \mathbb{C}^{2n \times 2n}... Feb27-14 11:57 AM Sam1984 0 173 Follow the 1st ideia: \\ d\vec{r} = dr \hat{r} + r d\theta \hat{\theta} \\ \\ \frac{d\vec{r}}{dr} = \frac{dr}{dr}... Feb27-14 11:08 AM D H 1 160 In somewhere in wikipedia, I found a "shortcut" for compute the jacobian, the formula is: \frac{\partial(q_1 , q_2 ,... Feb26-14 11:19 AM Jhenrique 0 190 Hi, I've just learned that an irreps of a simple Lie group can be uniquely labelled by its highest weight's... Feb26-14 10:46 AM bifolco84 0 155 Hello, The product of a 2x5 matrix P and a 5x3 matrix B shall be a 2x3 zero matrix. P and B are all matrices of... Feb26-14 08:53 AM D H 5 309 We have a matrix A4x5 and B2x3 can we remove(-) them A-B Thanks Feb25-14 11:12 AM HallsofIvy 1 209 Exist so much theory for find the eigenvules of a matrix (invariants, characteristic polynomials, algebraic formula... Feb24-14 01:57 PM DrClaude 4 228 This is certainly an elementary question, so I would be all the more grateful for the answer. Given: A and B are two... Feb24-14 03:39 AM nomadreid 2 248 Hi friends! I am getting started with a research paper that discusses the closure properties of a robotic grasp.... Feb23-14 03:12 PM FactChecker 3 286 I am a bit confused, so this question may not make much sense. A unitary operator from one vector space to another... Feb22-14 04:59 PM D H 2 283 Hi. I want to get a quick overview of the theory of Hilbert spaces in order to understand fourier series and... Feb21-14 02:49 PM mathman 3 300 math.stackexchange.com, but haven't got any responses, so I thought I'd try here] I’m building a model in a 3D... Feb20-14 08:54 PM FactChecker 1 332 I imagine a matrix group, with multiplication as the composition rule, to always possess the quality of having centre... Feb20-14 01:57 PM pasmith 3 250 I need algebraic definiton in curvilinear coordinates for the Hessian. Can you help me? Can you tell me how I can... Feb19-14 04:32 PM Jhenrique 0 253 Okay, I thought that there would exist a projection from ##\mathbb{Z}^{p-1}## to ##\mathbb{Z}_{p}## where ##p## is a... Feb19-14 03:37 PM jgens 3 251 hey pf! so my question is how cramer's rule makes sense from a geometric perspective. i'm reading the following... Feb19-14 04:22 AM joshmccraney 2 777 I'm in a Second Course in Linear Algebra this semester, and we've just been introduced to the idea of a dual space,... Feb18-14 07:25 PM mathwonk 4 447 How I do for calculate the solid angle formed by 3 vectors like: http://s30.postimg.org/61lpvmi4h/solid.jpg ? Feb18-14 11:15 AM Jhenrique 2 318 I know I should keeps this short, but I need to explain it a little. So, please have patience with me :) Given a... Feb18-14 04:43 AM duquequin 5 3,070 Hi, Given an over-determined system of linear equations y=A c, the condition number of matrix A essentially says... Feb18-14 12:11 AM lurflurf 10 691 I can't wrap my head around this proof that the sum of two nilpotent ideals is nilpotent, I get stuck at one stage: ... Feb17-14 05:08 PM Silversonic 2 280 I've been doing linear algebra for so long, that I've become quite a dunce at solving nonlinear systems of equations.... Feb17-14 04:01 PM chogg 0 286

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