Decomposition Definition and 386 Threads

Homework Statement i'm trying to put the 3x3 matrix: [4 2 6] [ 2 8 2] [-1 3 1] into row echelow from. but i don't know where I'm goin wrong in my row operations. could some1 please tell...

I have a couple questions about the singular value decomposition theorem, which states that any mxn matrix A of rank r > 0 can be factored into A = U \Sigma V into the product of an mxm matrix U with orthonormal columns, the mxn matrix ∑ with ∑ = diag(\sqrt{\lambda_i}), and the nxn matrix V...

Just wondering - is there anything you can do with 1/(a + b) to get something like A/a + B/b?

Homework Statement This is for a chemistry report. This is the task: "Determine the molar enthalpy change for the decomposition of sodium hydrogen carbonate into sodium carbonate, CO(2) and water. 2NaHCO(3) -> Na(2)CO(3) + CO(2) + H(2)O This enthalpy change cannot be measured directly"...

Let R be a Noetherian Ring and I an ideal in R. Let I = Q_1 n ... n Q_r = J_1 n ... n J_r be two primary decompositions of I. How can I show the number of irreducible components in each decomposition is the same?

Homework Statement An atmospheric chemist fills a gas-reaction container with gaseous dinitrogen pentaoxide to a pressure of 130. kPa, and the gas decomposes to nitrogen dioxide and oxygen. What is the partial pressure of nitrogen dioxide, PNO2, (in kPa) when the total pressure is 166 kPa...

I am doing an assignment and I'm not sure if the answer is endothermic decomposition someone please help me! During an experiment, a metal and an excess of fluorine gas were placed into a combustion chamber at a temperature of 1800°C. The temperature in the sealed chamber continued to rise to...

Is there any algorithm to decompose a nonconvex polygon in a set of convex ones?

i need to prove that if A is symmetric and invertible (i.e A^-1 exists), and A=LDV, when L is lower triangular matrix with ones on it's diagonal and V is an upper triangualr matrix also with ones on the diagonal and D is a diagonal matrix then V=L^t. what i did is: i know that V^t is an LTM...

Hey everyone, I have a homework question that I would appreciate some clarification on. Question: A 3.96g sample of magnesium carbonate decomposed to produce 1.89g of magnesium oxide. What mass of magnesium was in the sample of magnesium carbonate? Calculate the mass percent of of...

Hello, the question here says: Show that any given function can be decomposed into the sum of manifestly odd and even subfunctions. What i have done is just assumed a continuous, differentiable function, with a number a in the domain of the function, then shown that a taylor series for a...

Does anyone know what types of materials may be used to decrease the activation energy of 2N_2O->2N_2 +O_2. I think perhaps silver may work, but I need to find a material which will withstand the high temperature of decomposition thanks

hello everyone. I'm confused on what he wants here. here are the directions: http://img206.imageshack.us/img206/9692/lastscan2ju.jpg How do you prove such a thing? do i take the integral of the decompoisition and add them together or what? The homework and webworks never asked this...

can someone help me set up this problem. it asks for the partial fraction decomposition of: (7x^3 - 2)/[(x^2)(x+1)^3] i thought you put A/x^2 + B/(x+1)^3 and solve but it doesn't work that way.

"Let m(x) be the minimal polynomial of T:V\rightarrow V, \dim V<\infty such that m(x)=m_1(x)m_2(x) where gcd(m_1,m_2)=1, then there exists T-invariant subspaces V_1, V_2 such that V=V_1\oplus V_2." What other names is this thoerem called? It was given to me as the "primary decomposition...

Hello, I have a question with respect to the decomposition in irreducible representations of antiquark - antiquark ( SU(3) color ). In the case of quark - quark what you have is a triplet with an antitriplet and what you obtain is an antitriplet and a sextet, and from the Young tables...

What is the general formula for the decomposition of a hydrate?

Eager to learn "3+1 decomposition" Is there any post, notes, books that gives complete introduction to "3+1 decomposition" in ADM fashion, as well as in tetrad formalism?

Hi guys - long time reader first time poster! I'm currently getting to grips with the topic of Lie Algebras, and I've come across something that's baffled me somewhat. I've been asked to show: so(4) = su(2) \oplus su(2) Where the lower so(n) denotes the Lie Algebra of SO(n) etc. Now, in a...

Hey folks, I am trying to piece together what the point of the Ricci Decomposition is. Wikipedia explains what it is but not really why. I understand that we can break down the Ricci Tensor into: 1) Scalar part 2) Semi-traceless 3) Traceless (Weyl Tensor) I have the following...

Hey eveyone, trying to determine the partial fraction decomposition of: (22x^2+60x+58) (s+1)(x^2+4x+5)^2 I got values for my unknowns A, B, C, D,E are: A=5 B=-1777/29 C=-6143/29 D=-570/29 E=840/29 If anyone out there can double check these for me.

So here's the problem I am faced with... dum dum dummmm So first I figured that there will be 30.6g of hydrogen peroxide. Then I figured that there are 0.4498 moles of O2. Then using the ideal gas law... V=nRT/P I got ((0.4498)(0.08206)(27+273.15))/(746/760) = 11.3 Liters of O2 But...

Having trouble with one more problem: find the parial fraction decomposition for th erational expression: -8x^3-2 x^2(x-1)^3

Hi, How can I decompose a 3x3 rotation matrix R, into a form: R = rot(v3,c) X rot(v2,b) X rot(v1,a) where v1,v2,v3 are known unit length axes (with angles a,b,c unknowns)? Thank you, Cristian

Any one knows what the decomposition temperature of ZnSe semiconductor doped with Cl is? I am doing some annealing with a simple equipment but worring about the volatilization of Cl, which would be dangerous. Thanks a lot!

Suppose I want to decompose A = \left(\begin{array}{cc}4&4\\-3&3\end{array}\right). A = U \Sigma V^T => A^T A = V \Sigma^2 V^T and A A^T = U \Sigma^2 U^T So 2 independent eigenvectors of A^T A are a basis for the row space of A and 2 independent eigenvectors of A A^T are a basis for the...

I know that, given an arbitrary unitary matrix A, it can be written as the product of several "local" unitary matrices Ai -- local in the sense that they only act on a small constant number of vector components, in fact it is sufficient to take 2 as that constant, which is best possible. For...

Use partial fraction decompostion to find: \int_{a}^{b} \frac{2x-1}{x^2(3x+1)(x^2 + 1)} is this partial fraction set up correct? \frac{A}{3x +1} + \frac{Bx + C}{x^2 +1} + \frac{Dx + E}{x^2} = 2x - 1 If this is correct i can solve the integral.

For the decomposition of hydrogen peroxide in the presence of manganese(IV) oxide, what is the chemical method to determine the concentration of hydrogen peroxide, at different times? The solution is: To add the reaction mixture in dilute sulphuric acid, and then titrate the reaction mixture...

Hi, I have heard, that a second rank tensor can always be decompose into a spin-2, a spin-1 and spin-0 part, being reducible. I want to pursue this further. Can anyone suggest me a nice reference for it? TIA Nikhil

Hi! I was just wondering if the decomposition of ferric sulfide can break down into S8 molecules and ferric ions? Thanks in advance!

It is well-known that using the Clebsch decomposition of a velocity field, the helicity contained in an any closed vortex tube is zero. Does the converse hold? That is, given zero helicity in any closed vortex tube, does this imply that the velocity field has a Clebsch decomposition?

Hello, I have a question about what I would call, for want of a better name, matrix decomposition. However, my question does not concern standard decompositions like eigenvalue or Cholesky decomposition. The problem: Assume given two real and square matrices C and D. C is symmetric...

Viva! I usually come upon this statement: " Since B is solenoidal, it can be split into Toroidal and Poloidal parts, i.e, B=Bt+Bp, where Bt=curl(Tr) and Bp=curlcurl(Pr)" How can I prove this?? I think it is somehow related with the stokes theorem... Looking forward for...

Does anyone know anything about this? I got a look at wolfram.com and I didnt get much. I would like to prove that in fact, any divergenceless vector field can be decompose in a toroidal part and a poloidal part. And I think the proof of this is somehow related with this theorem...

Can anyone explain to me really quick how to go about Synthesis and Decomposition of compounds, can you show me an example with Aluminum Flouride and Potassium Chloride ? Thank you for your help