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anonymous
 5 years ago
Solve the following set of homogeneous equations by GaussJordan reduction of the matrix of coefficients (without the column of zeros from the righthand side.
5x+5y5z=0
3x+4y7z=0
2y8z=0
2y3y+6z=0
I know to do GaussJordan reduction for three equations, but not four. How do I do this?
anonymous
 5 years ago
Solve the following set of homogeneous equations by GaussJordan reduction of the matrix of coefficients (without the column of zeros from the righthand side. 5x+5y5z=0 3x+4y7z=0 2y8z=0 2y3y+6z=0 I know to do GaussJordan reduction for three equations, but not four. How do I do this?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0It should work for a square matrix of any order n x n, just make sure to end up with the fourth order identity matrix on the left hand side (1's along the main diagonal). :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I write the matrix out: 5 5 5 0 3 4 7 0 0 2 8 0 2 3 6 0 So do I just put the zeros on the left side as well?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Hmm...sorry, I misread the question! At a cursory glance, what could you achieve by having 4 equations with 3 unknowns? The very structure of the question is confusing to me...I'm pretty sure that the number of equations has to equal the number of unknowns to solve using GaussJordan elimination; otherwise you'd have to make an augmented matrix.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yup that's why I'm confused as well! I can't seem to find any examples online either.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think you are correct; put the constants as a fourth column on the left hand side and when you get the inverse on the right hand side, you'll just separate the rightmost column as new coefficients.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Found a FANTASTIC resource: http://mathrefresher.blogspot.com/2007/04/gaussjordanelimination.html :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I'm still trying to figure out how to get the matrix in the right form so can find what x y z are? :(

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I already know how to the method on the page you provided, but I can't because the matrix is not in the right form, how do I get it into the right form (thanks for the page though!)
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