Elimination Definition and 164 Threads

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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...

Homework Statement Find coefficients a,b,c and d so that the curve of a circle in an xy plane, with points (-4,5), (-2,7) and (4,-3), is given by the equation ax2 + ay2 + bx + cy + d = 0. Not even sure where to start. Can anyone help me with this?

Hey guys i am stuck with the gaus jordan method of the following matrix. A = 1 2 3 4 5 6 3 1 -2 For the co factor i worked out the C transpose as: 1/3 (-16 7 3 26 -8 6 -11 5 -3) The gaus jordan is suppoesed to agree with my final cofactor matrix but i can't seem to understand how...

Hi, I am trying to recreate the naive gauss elimination method in fotran 95 but am having a few problems with it. The idea is to read in a nxn matrix of equations, so you can type in any number when u start the program and then the program will ask you to enter the relavant amount of...

Homework Statement From the equations: h\nu - h\nu' = T= m_o c^2 (\frac{1}{\sqrt{1-\frac{v^2}{c^2}}}-1) \frac{h\nu}{c}=\frac{h\nu'}{c}cos\theta+\frac{m_o v}{\sqrt{1-\frac{v^2}{c^2}}}cos\phi \frac{h\nu'}{c}sin\theta = \frac{m_o v}{\sqrt{1-\frac{v^2}{c^2}}}sin\phi \alpha=\frac{h\nu}{m_oc^2}...

Homework Statement Hey everyone! I was handed this question in class without being taught how to do it! The text is supposed to be helpful but it is just confusing. Using Gaussian elimination and 3-digit rounding arithmetic, solve the following linear system: 3.3330x_1 +15920x_2...

I have done the following problem over and over and keep getting the same result. So either the book answer is wrong or I am making the same mistake over again: \left[\begin{array} {cccc} 5&-2&6&0\\ -2&1&3&1\\ \end{array}\right] \left[\begin{array} {cccc} 1&-\frac25&\frac65&0\\ -2&1&3&1\\...

Hello all. I am designing a Gauss jordan elimination program using c++. I need a little help to code this as I am not too familiar with arrays and the operations you can perform on them. The first question I have is how would I swap rows? I know its probably really simple but I cannot find...

Homework Statement The point of this homework is to experiment with Gaussian elimination, and to develop an appreciation for partial pivoting. Questions 1 & 2 can be done with a calculator (though a computer is preferred). Question 3 requires a computer – you do not necessarily have to write...

Homework Statement Using Gauss-Jordan elimination determine the intersection of the following systems. Identify the type of system geometrically. a) 3x-2y+z=0 4x-5y+7z=0 6x+3y=0 b) x-2y+3z=0 x+y-z=4 2x-4y+6z=5 c) x+y+2z=-2 3x-y+4z=6 x+2y=-5 The...

Homework Statement How would I solve this using Gauss-Jordan Elimination? x - 2y + 3z = 0 x + y - z = 4 2x - 4y + 6z = 5 which I think becomes: 1 -2 3 | 0 1 -1 -1 | 4 2 -4 6 | 5 But I'm confused as to the process to achieve the answer. :S

basically i need to convert the following parametric equation: x=a cos (T) + b cos (T/2) y=a sin (T) + b sin (T/2); where a and b are coefficients to cartesian form: y = f(x) i need it in that form so i can do calculus analysis for an improved engine design i hope to develop. thanks...

Homework Statement I have been given the 3 following simultaneous equations and the question is: "(a) Solve the equations using Gaussian elimination, showing all your working." fairly simple topic i know, but i can't get the answer :/ The Attempt at a Solution Had a few attempts...

Homework Statement Let A be the nxn matrix with elements aij = -1 for i > j, aii = ain = 1, 1 <= i <= n, and zero everywhere else. Let b be a random vector. Solve the linear system Ax = b by Gaussian Elimination with partial pivoting. Use tril, eye, and ones to generate A, Generate b with...

Homework Statement When baseball outfielders throw the ball, they usually allow it to take one bounce on the theory that the ball arrives sooner this way. Suppose that after the bounce the ball rebounds at the same angle as it had when released but loses half its speed. 1) Assuming the...

Homework Statement How do you eliminate this? V3(cos A) + V4(cos 30) = 5 Equation 1 V3(sin A) = -(V4)(sin 30) Equation 2 V3^2 + V4^2 = 25 Equation 3 Homework Equations The Attempt at a Solution I let x= V3 ; y=V4...

This is something that's bothered me for a very long time... Say you're doing Gaussian elimination on some matrix. Now suppose during the process, some row gets zeroed out, say row j. Now it makes perfect sense for me to say that row j was a linear combination of the previous rows. But...

Homework Statement Viruses are reproducing with rate of k ,in t minutes, the function is: f(x) = Po x e^(kt) However there is an elimination rate of a viruses per minute. Homework Equations The Attempt at a Solution We can't say that the new function will be: f(x) = Po x e^(kt)...

Hello everyone, this is my first time posting here, I found the website looking for help. For my finite math homework one of the questions ask to solve a system through the Gauss-Jordan Elimination; here's what I have so far. Homework Statement 3x + y -2z = 2 x - 2y +z = 3 2x - y -3z =...

Homework Statement Hi, I am new to gauss jordan elimination and our teacher onlt taught us how to solve a 3x3 equation and gave us a 7x7 problem to answer due tom. 2m + 3n - p + q + 2r - s + 2t = 1 m - n + p - q + r + s + t = 2 2m + 2n - 2p + q - 2r + s - t = 1 m - 2p + q - r - s + t =...

Homework Statement I'm having trouble with these very strange (and deceptive-looking) systems of linear equations that I would like to know more about. Here they are: (1) A+C=0 B-2C=4 -A+B+C=0 (2) 3x+y= 1 x-3y=17 The Attempt at a Solution (1) Using algebra the...

Homework Statement Use Gauss-Jordan elimination to solve this sys of linear eqs 2w+3x-y+4z =0 3w-x+z =1 3w-4x+y-z=2 The Attempt at a Solution I wrote 9 tablabeaus and ended up with three arbitrary solns. I just want to know if there anything wrong, here they are: 225a/121 =...

I've been doing Gaussian Elimination in a Linear Algebra class, but I have a question: How do I formally prove that elementary row operations do not change the set of solutions to a system of linear equations? Thanks.

Can somebody please explain the negation elimination rule in natural deduction to me? I've read a few explanations and none of them make any sense whatsoever. Nor do I understand how you can (or why you would want to) be able to infer anything from a contradiction. Thanks.

Solve the following system of equations using Gaussian elimination: 3w+10x-2y+3z=55 w+12x-11y-z= 69 -3w-6x-5y-10z=-47 -3w+9x+5y+4z=-1 Here's what I did so far: swap R1 and R2 (row 1 and row 2) -3R1+R2 (multiply row 1 by -3 and add row 2 to that product) 3R1+R3 3R1+R4 Now, after...

2x+3y+3z=7 2x+3y+3z=7 2x+3y+3z=7 Using Gaussian Elimination... is it possible to find the value of x,y,z with three similar equation?

I used Gaussian elimination on a matrix to find the soultions. I know that there is either no solutions or infinatley many, but the matrix is confusing me. The only definition I have of when a matrix has infinatley many solutions is when a zero row is equal to zero, and no solutions when a zero...

Homework Statement If x=2at/(1+t^2) and y=b(1-t^2)/(1+t^2), show that x^2/a^2+y^2/b^2=1 The Attempt at a Solution I've tried squaring both equations: xt^2=4a^2t^2/(1+2t^2+t^4) y^2=b^2(1-2t^2t^4)/(1+2t^2+t^4) Now I've tried adding x^2 and y^2...

Why do genitalia serve this dual purpose? Is there some payoff or benefit for these organs to provide both functions of waste elimination and sexual reproduction?

Homework Statement x+2y+6z=4 -3x+2y-z=-4 4x+2z=16 Homework Equations I am having trouble solving this equation since i was absent for notes I would appreciate an attempt to explain the process to me. The Attempt at a Solution I know the basics but if some one could show me...

Question: solve by using gaussian elimination: 3x - y + z = 1 2x + 2y – 5z = 0 5x + y – 4z = 7 what i did: step 1: new row 1 = old row 1 – row 2, I got: x – 3y + 6z = 1 2x + 2y – 5z = 0 5x + y – 4z = 7 step 2: new row 2 = old row 2 – (2 * row1) and new row 3 = old row 3 –...

Homework Statement Eliminate the parameter given x=2e^t, y=2e^-t The Attempt at a Solution lnx = ln2 + t, so t = lnx - ln 2 This gives: y=2e^(ln2-lnx) y=2(e^ln2 * e^-lnx) y= -4x This does not, however, match the graph of the parametric function on my calculator. Have I made...

H e l p m e I want code for gauss elimination by C++ for solving my homework

Enter Here!? Hi, can anyone help me ? I want code (program) to solve Gaussian Elemination by C++ . Please :cry: :cry: very important:cry:

Hi! I've made the following assignments and I'll appreciate it if anybody of you can help me with them and correct me if my answer is wrong. Thanks a lot! A) Provide reagents that could be used to effect the transformation of 'Stof A' to each of the following compounds (1-5)...

hey i wanted help on understanding a particular reaction we have a compound 1(4-Nitrophenyl)-1-phenylpropan-2-ol and its reaction with concentrated sulphuric acid at the suitable temperature. Actually our teacher said that it would form 1(4-Nitrophenyl)-1-phenylprop-1-ene after the...

i m having serious problem regarding this program...i m not asking u 2 make it for me...just help me with logic because i can't get gist of it...pleasezz i need help...i ve working on it like 3 hours nd its like my mind has gone blank:(

what langugage?? grammar #1: S->(L)|a L->L,S|S what language does this grammar generate? some strings generated by this grammar r (a,a), (a,(a,a))... grammmar #2: bexpr->bexpr or bterm| bterm bterm-> bterm and bfactor| bfactor bfactor-> not bfactor| (bexpr) | true | false is...

The instructions for the section say: use the method of elimination to evaluate the determinants in problems 13-20. They are all 3x3 or 4x4 matrices I can't find an example of this in the book. Can someone outline the procedure for me? I've already solved these same problems using...

Hi, I was doing a question on elimination reactions of haloalkanes. Could someone help me out? The question: "3-Bromo-3methylhexane rapidly undergoes elimination when boiled with ethanolic potassium hydroxide. Write the structures of the FIVE alkenes which might be formed, & name them."...