SOLUTION: Good morning, What steps are necessary in order to solve this system of equations using matrices (row operations). x + y - z = 6 3x -2y + z =-5 x +3y -2z = 14 1

Algebra ->  Matrices-and-determiminant -> SOLUTION: Good morning, What steps are necessary in order to solve this system of equations using matrices (row operations). x + y - z = 6 3x -2y + z =-5 x +3y -2z = 14 1       Log On


   

Question 415746: Good morning,
What steps are necessary in order to solve this system of equations using matrices (row operations).
x + y - z = 6
3x -2y + z =-5
x +3y -2z = 14
1 -1 -1 |6
3 -2 1 |-5
1 -3 -2 |14
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
1 1 -1 6
3 -2 1 -5
1 3 -2 14
***
1 1 -1 6
4 -1 0 1 R1+R2
0 -2 1 -8 R1-R3
***
1 -1 0 -2 R3+R1
4 -1 0 1
0 -2 1 -8
***
3 0 0 3 R2-R1
4 -1 0 1
0 -2 1 -8
***
1 0 0 1 R1/3
4 -1 0 1
0 -2 1 -8
***
1 0 0 1
0 1 0 3 4R1-R2
0 -2 1 -8
***
1 0 0 1
0 1 0 3
0 0 1 -2 2R2+R3