SOLUTION: Solve the system of equations by finding a row echelon form for the augmented matrix. x-3y+3z=16 3x-5y-3z=12 -5x+10y+z=-33 I know the augmented matrix is 1 -3 3 16

Question 1173881: Solve the system of equations by finding a row echelon form for the augmented matrix.
x-3y+3z=16
3x-5y-3z=12
-5x+10y+z=-33
I know the augmented matrix is
1 -3 3 16
3 -5 -3 12
-5 10 1 -33
Whenever I try to get to the echelon matrix I always end up calculating something wrong... Please help.
Found 2 solutions by greenestamps, ewatrrr:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

We can't really help you with this.

Finding the row echelon form of the matrix by the Gauss-Jordan method requires a sequence of operations involving simple arithmetic; but it's aggravatingly easy to make silly errors along the way.

My personal (and extensive) experience with the process is that I rarely get all the way through the first time without making a simple error; often two or three tries are required.

Furthermore, although the operations that can be performed are well defined, ten solutions by ten tutors would probably use at least nine different paths; we can't show you THE way to do it.

If you want help with this, then re-post the question, SHOWING how you started on the problem, and we can help you along from there by seeing the work you have done.

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi,
https://www.symbolab.com/solver/matrix-gauss-jordan-calculator/gauss%20jordan%20
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Online Gauss-Jordan method calculator/all steps shown.
Simply choose 3x4 and enter the augmented matrix numbers.
A very good reference for an example of how-to.
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Answer to Your System is P(1,-3,2)
Wish You the Best in your Studies.

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