SOLUTION: Hi, Could someone please help be solve this problem. It is a maxtrix problem and I need to solve for x,y,and z using the Guss-Jordan Process. 3X-2Y+8Z=9 -2X+2Y+z=3 X+2y-3Z=8

Question 30595: Hi,
Could someone please help be solve this problem. It is a maxtrix problem and I need to solve for x,y,and z using the Guss-Jordan Process.
3X-2Y+8Z=9
-2X+2Y+z=3
X+2y-3Z=8
Thank you so much!!!!
Have a great day:)
Sarah
Answer by Fermat(136) (Show Source): You can put this solution on YOUR website!
3X-2Y+8Z=9
-2X+2Y+z=3
X+2y-3Z=8
Writing it out in augmented matrix form, (1), (2) and (3)refer to the 1st, 2nd and 3rd eqns at each step.
I hope you can follow this. The row operations are in between each step.
3 -2 8|9
-2 2 1|3
1 2 -3|8
(1)- 3*(3), (2) + 2*(3)
0 -8 17|-15
0 6 -5|19
1 2 -3|8
3*(1), 3*(3),
0 -24 51|-45
0 6 -5|19
3 6 -9|24
(1) + 4*(2), (3) - (2),
0 0 31|31
0 6 -5|19
3 0 -4|5
(1)/31,
0 0 1|1
0 6 -5|19
3 0 -4|5
(2) + 5*(1), (3) + 4*(1)
0 0 1|1
0 6 0|24
3 0 0|9
(2)/6, (3)/3,
0 0 1|1
0 1 0|4
1 0 0|3
Hence:x = 3, y = 4, z = 1
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