Gauss-Jordan Reduction Solve the following set of homogeneous equations by Gauss-Jordan reduction of the matrix of coefficients (without the column of zeros from the right-hand side. 5x+5y-5z=0 3x+4y-7z=0 2y-8z=0 -2y-3y+6z=0 I know to do Gauss-Jordan reduction for three equations, but not four. How do I do this - I'm pretty confused

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

Gauss-Jordan Reduction Solve the following set of homogeneous equations by Gauss-Jordan reduction of the matrix of coefficients (without the column of zeros from the right-hand side. 5x+5y-5z=0 3x+4y-7z=0 2y-8z=0 -2y-3y+6z=0 I know to do Gauss-Jordan reduction for three equations, but not four. How do I do this - I'm pretty confused

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

Hi princessanna, how do you use Gauss-Jordan reduction to solve three equations, do you use matrix and elementary row operations?
Hi sklee, yes I use the matrix method. But I can't use it unless the matrix is a square, which it isn't for this question.
the system of equations can be written in a matrix form: 5 5 -5 3 4 -7 0 2 -8 -2 -3 6

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

Hi princessanna, it doesn't matter if the matrix is square or not, it is still applicable.
Well I don't know how to do the method :( because I only know the way when all the 1's are diagonal?
Ok, can i assume you have no problem to do the elementary row operations? As i will show you only the matrix that has been reduced, is that fine for you?
Yes that would be great, thank you :)
1 1 -1 0 1 -4 0 0 0 0 0 0 The operations that i have used are R_{1}(1/5), R_{3}(1/2), R_{1,2}(-3), R_{1,4}(2), R_{2,3}(-1) and R_{2,4}(1)
It's pretty hard to read and understand :(
From this reduced form, you can use backward substitution (that is called Gauss elimination method) or you can reduce more till it is in row reduced form. 1 0 3 0 1 -4 0 0 0 0 0 0 The operation that has been used is R_{2,1}(-1)
R_{1} (1/5) means you multiply row 1 with 1/5 R_{3} (1/2) means you multiply row 3 with 1/2 R_{1,2} (-3) means you multiply row 1 with -3 and add it to row 2 to get the new row 2 etc..
Is it better now? Do they helpful to you?
By letting z = a, where a is any parameter, we get x = -3z = -3a and y = 4z = 4a. So the solution is (x,y,z) = (-3a,4a,a) = a(-3,4,1)

Not the answer you are looking for?

Search for more explanations.

Ask your own question