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
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Coordinate Systems and Linear Equations
-> 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
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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
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.
