SOLUTION: . Solve the following system of equations using Gauss-Jordan elimination. Show all your steps. 2x − 4y + 6z = 2 4x − 8y + 12z = 5 3x − 6y + 9z = 3

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: . Solve the following system of equations using Gauss-Jordan elimination. Show all your steps. 2x − 4y + 6z = 2 4x − 8y + 12z = 5 3x − 6y + 9z = 3       Log On


   

Question 1017018: . Solve the following system of equations using Gauss-Jordan elimination. Show all your steps.
2x − 4y + 6z = 2
4x − 8y + 12z = 5
3x − 6y + 9z = 3
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
this will lead to an an inconsistant system which means there is no solution.

see the attached worksheet.

see below the worksheet for further comments.

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the second row subtracts two times the first row to result in a new second row containing 0 0 0 1.

two times the third row subtracts three times the first row to result in a new third row containing 0 0 0 0.

if you get a system with a row that has all zeroes, i believe the procedure is to place it at the bottom of the matrix and then to continue processing.

if you get a system with a row that has all zeroes except in the last column, then that system is inconsistent and has no solution and i beieve the procedure is to stop there.

here's some references on the different types of solutions you can get and what they look like.

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