Gaussian elimination Definition and 70 Threads

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?

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 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...

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 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 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.

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...

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 –...

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

S = Columns 1 through 3 1.0000 0 0 0 1.0000 0 0 0 1.0000 Columns 4 through 5 0.2750 -0.2786 -0.1750 0.5929 0.2250 0.1357 Which is the rref of A = 2 9 9 1 6 2...

2 1 1 | 4 -1 2 1 | 3 7 6 5 | 19 Need a little help please

Any help on this one would be greatly appreciated. Due to that I can't find much of a connection (due to lack of inconsistent set of linear equations), and the fact that I'm unable to explain it properly, can someone please help me? Here's the question: If a system of linear equations is...

I tried to solve this Gaussian elimination algorithm problem (matrices) but for some reason when I plug in the x variables it doesn't work. The problem is: Alright so the first thing I did was divide the 1st row by 1/3 (scaling). Then I made the entries below the first pivot equal to 0...

I tried to solve this Gaussian elimination algorithm problem (matrices) but for some reason when I plug in the x variables it doesn't work. The problem is: Alright so the first thing I did was divide the 1st row by 1/3 (scaling). Then I made the entries below the first pivot equal to 0...

I am not sure how to solve this: Given an augmented matrix, find conditions on a, b, c for which the system has solutions: -1 -2 3 b -1 -6 23 c -3 2 4 a so by Gaussian elimination, the matrix I ended up with is 1 2 -3 -b 0 4 -20 b-c 0 0 -35...

I need a math guru to explain why and how the elimination method of solving simultaneous equations works ? why do we add or subtract the two equations ?(I undertand in order to eradicate either term) but I need to know from the basics . For that matter, how/why does the substitution method...

is this elimination used only in 3*3 matrix?