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.
I know to do Gauss-Jordan reduction for three equations, but not four. How do I do this?
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It 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). :)
I 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?
Hmm...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 Gauss-Jordan elimination; otherwise you'd have to make an augmented matrix.