Elimination Definition and 152 Threads

eliminate the arbitrary constant, 1. $\displaystyle y=mx+\frac{h}{m}$ h is a parameter, m to be eliminated.2. $cxy+c^2x+4=0$ eliminate c I don't know where to start please help me get started. thanks!

1. eliminate B and $\alpha$ from the relation $\displaystyle x=B cos(\omega+\alpha)$ in which $\omega$ is a parameter(not to be eliminated). I first took the two derivatives of x with respect to t: $\displaystyle \frac{dx}{dt}=-\omega B\sin(\omega+\alpha)$ $\displaystyle...

Homework Statement I have to find that the characteristic polynomial for a 3x3 matrix A, which is effectively the same as finding the det(A - I*lamda) matrix A is: the problem is that when I've written out 'A - I*lamda' in matrix form, the three values at the bottom left of the matrix...

I was wondering if anybody can see where I have gone wrong here? I was given the rule, E2(E1A1)=(E2E1)A1, I can't seem to find my mistake.

I have Ax=b problem where A 1484x1484 matrix,b 1484x1. A is sparse(95% zeros) but if I go for LU decomposition what should be the next step? Or is there any other method,I forgot algebra,learned it when I was undergrad long time ago.

Homework Statement The question is to solve the IVP: x'=2x+y-e^2t & y'=x+2y, where x(0)=1, y(0)=-1Homework Equations Arranging the equations and substituting in D for the derivatives, the equations become: 1. (D-2)x-Dy= -2e^2t 2. (D-2)y-Dx= 0 The Attempt at a Solution My first attempt was...

I have been looking for a proof of correctness of Gaussian elimination, but alas, without much success. Most online resources explain how to apply the algorithm rather than proving correctness. That said, I have been looking for a proof to the following theorem, which is stated in Friedberg's...

If you add a strong base to a halide, you get mostly the alkene. If you add a weak base, especialy on primary halides not branched on the β carbon, the product is mostly the substituted. Why is that? 1) The mechanism for the substitution reaction is the heterotytic break of the C-X (where X is...

Homework Statement I have an algorithm that implements Gaussian elimination. According to the text, with some modification of the indices and their in the loops, I should be able to have this algorithm perform Gauss-Jordan elimination. I also have to reduce the matrix to reduced row-echelon...

I want to why actually elements are eliminated in commercial fea solvers. There is a criterion like stress or strain at which elements having acheived that state are eliminated. Wouldnt it lead to wrong results because, the material at eliminated elements place has become null.

Homework Statement Both (E)- and (Z)-2-chlorobutenedioic acids dehyrochlorinate to give acetylene dicarboxylic acid. This reaction proceeds through the addition of a base and an E2 elimination. The (Z) acid reacts about 50 times faster than the (E) acid. Explain why. 2. The attempt at a...

Homework Statement A general system of linear equations is ax+by=e cx+dy=f where a,b,c,d,e,f are constant values. a)Use elimination to solve for x and y in terms of a,b,c,d,e,f. b)Are there any values that a,b,c,d,e,f cannot have?The Attempt at a Solution For part A, I got x=(e-f)/(a-c)...

Homework Statement for some reason I am having real trouble trying to solve this system. Homework Equations The Attempt at a Solution a=(10,11,4) v1=(2,1,4) v2=(-1,-2,1) v3=(3,3,-1) the qstn does a belong to the span (v1,v2,v3)? so I do gauss elim but I keep running...

I would normally use Gaussian ELimination to solve a linear system. If we have more unknowns than equations we end up with an infinite number of solutions. Are there any real life applications of these infinite solutions? I can think of solving puzzles like Sudoku but are there others?

Homework Statement $$ \begin{pmatrix} -1&3&0\\ 2&0&-1\\ 0&-6&1 \end{pmatrix} $$ Finding the ImT basis of this The Attempt at a Solution I got it down to $$ \begin{pmatrix} 1&0&-1/2\\ 0&1&1/6\\ 0&0&1 \end{pmatrix} $$ I know that by the principle of having pivots as the only non-zero...

Homework Statement Apply Gaussian elimination to the following matrix 2 -3 0 3 4 -5 1 7 2 -1 -3 5 I understand how to get the answer. The Attempt at a Solution My question is why doesn't the following method work: Switch Z over into the first column, move row 1 to row 3, then exchange rows...

Homework Statement In this video; the uploader states at 0:47 that there are three rules. 1. Can swap rows 2. Can multiply a row by a constant 3. Can add a multiple of one row to another Do these rules apply only to rows? Can they be applied to columns? The uploader has not stated...

Homework Statement What is the Gaussian elimination matrix for the vector for the vector v=(2,-10,16,2)? The Attempt at a Solution I don't understand the question. What is a "Gaussian elimination matrix for a vector?" I know that Gaussian elimination is a method for solving a system of...

hi all, Is there any matrix pre-requisities for Gauss elimination. Working on linear equations, I think I 've composed the global(stiffness) matrix of the LHS of linear equation.And found on the net the working code which uses Gauss elimination method, in the code beginning it checks...

Do diuretics increase the elimination rates of drugs by increasing the volume of urine excretion?

Homework Statement Using Octave or Matlab solve random binary matrices(with 1s and 0s) of size N and plot them together. Draw a conclusion. The Attempt at a Solution http://img703.imageshack.us/img703/7803/plotm.png I was just wondering if this looks correct to you. I previously had...

Hello guys, I'm writing a C++ function for matrix inversion. I saw many algorithms online, but I'm concerned about the case when a diagonal element equals zero, which is, for some reason, not taken into account by those websites. When we do the elimination for solving a system of linear...

Homework Statement Solve the following system of equations using Gaussian Elimination: -2a+5c=1 a+2b-c=2 3a-2b=3 Homework Equations N/A The Attempt at a Solution Augmented matrix (-2 0 5 | 1) R2 → R2 +R1/2 (1 2 -1 | 2) R3 → R3 - 3R2 (3 -2 0 | 3) (-2 0 5 | 1) Swap R2 and...

Homework Statement A= <1, -3, -1, 1> <2, -5, 0, 1> <-3, 5, -6, 3> What I did was Row2 = 2*Row1 - Row2 which renders Row2 as: <0, -1, -2, 1> However in the solutions, Row2 was given as: <0, 1, 2, -1>, which appears to be R2 = -2R1 + R2 I'm guessing it makes no real difference...

I can not find any useful online tool that solves you a system of equations using Gaussian elimination and LU decomposition. So just a system like: -3X+4X+9X+4x=-2 9X+2X+1X-5X=2 etc. Just about 4 lines. several lines. So basically an online tool where you can just plug in the...

Homework Statement Determine the value of k for which the system x + y + 2z = 3 x + 2y -4z = -3 2 + 8 + kz = -29 has no solutions. Homework Equations None The Attempt at a Solution Converting to a matrix 1 1 2 3 1 2 -4 -3 2 8 k -29 r2=r2-r1 1 1 2 3 0 1 -6 0 2 8 k -29...

The original form: http://img190.imageshack.us/i/79624585.png/ http://img685.imageshack.us/i/70092098.png/ I have manged to get to (D + 1)x + (D2 +D +1)z = 0 but after that I am kind of lost.

Can someone please explain the basic rules that must be adhered to when using Gauss-Jordan Elimination? I've been having some difficulty with it because apparently I keep doing things that you aren't allowed to do. So far, I know only the following: -You CAN multiply an entire row by a...

1. Homework Statement : 2. Relevant equations: Not applicable. 3. The attempt at a solution: This is where the problem begins. It's funny, because I used to be good at matrices back in high school, but when I look at them now, I don't understand why I keep getting different answers when I...

In terms of programming. Like, let's say you have F1+F2+F3+15=0 and you move the 15 to the other side, just as you're supposed to, which would be F1+F2+F3= -15. Is that what they mean by pivoting? The code moves the 15? thanks

Homework Statement Using Gaussian Elimination: 3x - 2 y = 5 6x-4y =7The Attempt at a Solution [ 3 -2 5] [6 -4 7] * top row by 1/3 [1 -2/3 5/3] * Top row by -6, add to bottom row: [0 0 -3] So I get this: [1 -2/3 5/3] [0 0 -3] How can 0y equal -3?

Homework Statement http://img189.imageshack.us/i/50468910.png/ Homework Equations The Attempt at a Solution I'm wondering how I do this? I don't really know. Supposed to be 17 rows. How many columns and how many each row? No clue! And how do I get the numbers for the matrix here?

For the elimination reaction of ethanol: How come only the OH and H get taken out? I understand that you have to take out one atom from each carbon, so how come we can't take out, for example, one H from the left carbon and one H from the right carbon to get? Or is it mandatory to take...

Homework Statement I'm following an online course on linear algebra where matrix elimination was explained. They showed this for a 3x3 matrix, I wanted to test this with a 2x2 matrix but somehow managed to do something wrong.. I have two equations with 2 unknowns: 2x - y = 0 -x + 2y = 3...

I am trying to use Gaussian elimination to solve the 2D poisson equation. I've done this for the 1D problem without problems, but for some reason my solution for the 2D problem is incorrect; it looks something like the correct solution but it's as if the resulting field were cut in half, so...

Find all vectors in R^4 that are perpendicular to the three coloumn vectors [1 1 1 1], [1 2 3 4], [1 9 9 7] sorry i don't know how to make them verticle guassian elimination or Ax=b I know that the dot product must equal 0 but I am not sure how to solve it

Homework Statement Homework Equations how do u solve for v0 from these two equations 1.)A0*v0=Av and 2.)v^2=v0^2+2gh... The Attempt at a Solution the sol is v0=[2gh*A^2/(A0^2-A^2)]^1/2... but i don´t know to get it... please help

Can someone please help me understand the difference between syn and anti elimination in terms of what they favor? My [extremely] limited understanding leads me to believe that syn elimination favors E2 since it mimics frontside attack, which will not work for Sn2 since there is no net-bonding...

Preface: I am an electrical engineer studying for the PE exam. I am reviewing power system analysis and have come across something I do not remember in any of my classes. I'll not bore you with the entire problem. Suffice it to say there is a 4x4 matrix that is being partitioned as follows...

Got it

is gauss elimination method same as gauss jordan method in matrices ?

Is it correct that the Gaussian elimination procedure is used in computer software to solve systems of linear equations?

Homework Statement Hi all, I'm writing a program to solve a system of linear algebraic equations using the method of Gaussian elimination. The only thing I can't figure out is how to perform the actual pivot. In the %Forward elimination nest, I can't figure out how I am supposed to find the...

Homework Statement Look for a matrix that has row sums 4 and 8, and column sums 2 and x: matrix = [a, b] -------I don't know how to do latex [c, d] a + b = 4; a + c = 2; c + d = 8; b + d = s; The four equations are solvable only if s = ____. Then find two different matrices that have...

Homework Statement If an antibiotic at 100mg eliminates itself from the body at a rate of 10% every 4 hours, after the first four hours the amount left in the body is 90%. Does the next 10% reduce by the remaining amount in the body (90 mg) or the original dose ingested (100 mg)...

Hello! I was looking into haloalkane reactions and the factors which determine the proportion of nucleophilic substitution to elimination reactions. I read that ethanol is more conducive to elimination reactions than substitution reactions, it mentions it being less polar than water, which...

Hello :smile: I have a homework question regarding Gaussian Elimination, where I am supposed to use information in a block of text to get equations, and form an augmented matrix. There are 4 unknowns, but I can only seem to get 3 equations and 3 "checks", to see if the values I get are...

My linear algebra teacher is strange. This is proof, he wants us to write a 4 page essay about the strengths and weaknesses of the Gaussian Elimination method to solve systems of equations covering these four areas: accuracy, student understanding, preparation for higher-level mathematics...

Homework Statement For part 1 I solve the problem and I got the follow equation and results: .25x+.10y+.05z=1.15 x+y+z=9 -2y+z=0 The solution is x=3, y=2, z=4 Now I have to solve this by hand with the equation in matrix form using elimination matrix Homework Equations EAx = Eb The...

Homework Statement http://img.rflz.net/problems.jpg Homework Equations The Attempt at a Solution Question 1 x4 = 1 + 4x5 but from there I am not sure where to go or if there is even a solution? Question 2 I eventually got the matrix down to this: 1 2 -3 1 4 1 0 1 1 0...