SOLUTION: Augmented matrix to solve! 3x+3y+z=8 2x-y+z=-4 X+2y+z=5 I dont know how to do the steps to solve it to have the identity matrix the 0101 thing.

Question 902057: Augmented matrix to solve!
3x+3y+z=8
2x-y+z=-4
X+2y+z=5
I dont know how to do the steps to solve it to have the identity matrix the 0101 thing.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
(0,3,-1)
3,3,1,8
2,-1,1,-4
1,2,1,5
divide row 1 by 3/1
1,1,1/3,8/3
2,-1,1,-4
1,2,1,5
add down (-2/1) *row 1 to row 2
1,1,1/3,8/3
0,-3,1/3,-28/3
1,2,1,5
add down (-1/1) *row 1 to row 3
1,1,1/3,8/3
0,-3,1/3,-28/3
0,1,2/3,7/3
divide row 2 by -3/1
1,1,1/3,8/3
0,1,1/-9,-28/-9
0,1,2/3,7/3
add down (-1/1) *row 2 to row 3
1,1,1/3,8/3
0,1,1/-9,28/9
0,0,-21/-27,-21/27
divide row 3 by 7/9
1,1,1/3,8/3
0,1,1/-9,28/9
0,0,1,-1
We now have the value for the last variable.
We will work our way up and get the other solutions.
add up (-1/-9) *row 3 to row 2
1,1,1/3,8/3
0,1,0,3
0,0,1,-1
add up (-1/3) *row 3 to row 1
1,1,0,3
0,1,0,3
0,0,1,-1
add up (-1/1) *row 2 to row 1
1,0,0,0
0,1,0,3
0,0,1,-1
final
1,0,0,0
0,1,0,3
0,0,1,-1
"0","3","-1"
(0,3,-1)

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