SOLUTION: Solve a system of equations by using a matrix X-y+z=0 3x-2y+6z=9 -x+y-2z=-2 I solved by elimination to get (1,3,2) but not sure how to solve with matrix other than putting it

Algebra ->  Matrices-and-determiminant -> SOLUTION: Solve a system of equations by using a matrix X-y+z=0 3x-2y+6z=9 -x+y-2z=-2 I solved by elimination to get (1,3,2) but not sure how to solve with matrix other than putting it       Log On


   

Question 921147: Solve a system of equations by using a matrix
X-y+z=0
3x-2y+6z=9
-x+y-2z=-2
I solved by elimination to get (1,3,2) but not sure how to solve with matrix other than putting it in matrix form
1 -1 1 | 0
3 -2 6 | 9
-1 1 -2 | -2
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
Original Matrix


R2=R2-3*R1;
R3=R1+R3.

%28matrix%283%2C4%2C%0D%0A1%2C-1%2C1%2C0%2C%0D%0A0%2C1%2C3%2C9%2C%0D%0A0%2C0%2C-1%2C-2%29%29


R3=-1*R3

%28matrix%283%2C4%2C%0D%0A1%2C-1%2C1%2C0%2C%0D%0A0%2C1%2C3%2C9%2C%0D%0A0%2C0%2C1%2C2%29%29

R1=R1-R3;
R2=R2-3R3.

%28matrix%283%2C4%2C%0D%0A1%2C-1%2C0%2C-2%2C%0D%0A0%2C1%2C0%2C3%2C%0D%0A0%2C0%2C1%2C2%29%29

R1=R1+R2.