SOLUTION: solve equations by jauss jordan method,2x+y-z=4,3x+5y+z=16,x-2y-5z=3 (by row operation)

Question 912871: solve equations by jauss jordan method,2x+y-z=4,3x+5y+z=16,x-2y-5z=3 (by row operation)
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
2x+y-z=4,
3x+5y+z=16,
x-2y-5z=3

2,1,-1,4
3,5,1,16
1,-2,-5,3
divide row 1 by 2
1,1/2,-1/2,2
3,5,1,16
1,-2,-5,3
add down (-3) *row 1 to row 2
1,1/2,-1/2,2
0,7/2,5/2,10
1,-2,-5,3
add down (-1) *row 1 to row 3
1,1/2,-1/2,2
0,7/2,5/2,10
0,-5/2,-9/2,1
divide row 2 by 7/2
1,1/2,-1/2,2
0,1,10/14,20/7
0,-5/2,-9/2,1
add down (5/2) *row 2 to row 3
1,1/2,-1/2,2
0,1,5/7,20/7
0,0,-76/28,114/14
divide row 3 by -19/7
1,1/2,-1/2,2
0,1,5/7,20/7
0,0,1,-3
We now have the value for the last variable.
We will work our way up and get the other solutions.
add up (-5/7) *row 3 to row 2
1,1/2,-1/2,2
0,1,0,5
0,0,1,-3
add up (1/2) *row 3 to row 1
1,2/4,0,1/2
0,1,0,5
0,0,1,-3
add up (-1/2) *row 2 to row 1
1,0,0,-2
0,1,0,5
0,0,1,-3
final
1,0,0,-2
0,1,0,5
0,0,1,-3
"-2","5","-3"
(-2,5,-3)

RELATED QUESTIONS
2x + 3z = 4 3y + 2z = 5 3x + 4y = −16 (x, y, z) = 2x +... (answered by Alan3354)

Use the Gauss - Jordan method to solve the following system of equations. 2x + y - z = (answered by CharlesG2)

solve the linear system by gaus jordan x+2y+3z=9 2x-y+z=8... (answered by Fombitz)

solve by row equivalent x+y+z=-2 2x+8y+5z=5 x+2y-z (answered by ikleyn)

x+y+z=-2 2x+8y+5z=5 x+2y-z=2 solve by row... (answered by Edwin McCravy)

Gauss Jordan method for... (answered by ikleyn)

Solve by substituting x + y + z = 8 -3x + 2y + 4z = 8 2x + 5y + 3z =... (answered by ankor@dixie-net.com)

1. Solve the following equations using Gauss Elimination method.... (answered by jsmallt9)

x-2y+2z=3 2x-4y+z=4 x+y+z=4 solve using gauss jordan... (answered by Alan3354)