Solve the system of linear equations, using the Gauss-Jordan elimination method.
ID: 3114370 • Letter: S
Question
Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answer in terms of the parameters t and/or s.)
2
(x, y, z) = ( )
3x 9y + 6z = 3 x 3y + 2z = 1 2x 6y + 4z =2
Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answer in terms of the parameters t and/or s.) 2x-6y + 4z = 2 (x, y, z) =Explanation / Answer
Gauss-Jordan elimination method augmented matrix
Your matrix
Find the pivot in the 1st column and swap the 2nd and the 1st rows
Eliminate the 1st column
Solution set:
The system is inconsistent (NO solution)
X1 X2 X3 b 1 3 -9 6 -3 2 1 -3 2 -1 3 2 -6 4 2