- #1
noamo48
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Homework Statement
Row A) x1 + 2x2 - x3 + x4 + 2x5 = 1
Row B) 2x1 + x2 + x3 - x4 + 2x6 = -1
Row C) x1 + 4x2 - 2x3 + x4 - x5 = 0
Row D) x1 + x2 + 3x3 + x4 + x6 = 2
Homework Equations
Ri <--> Rj
Ri --> cRj, c not equal to 0
Ri --> Ri + cRj, c [tex]\neq[/tex] 0, i [tex]\neq[/tex] j
The Attempt at a Solution
1) Swap rows B and C
2a) Add (-1) x Row A to Row B
2b) Add (-2) x Row A to Row C
2c) Add (-1) x Row A to Row D
3a) Multiply Row B by (1/2)
3b) Add (-2) x Row B to Row A
3c) Add (3) x Row B to Row C
3d) Add Row B to Row D
4a) Multiply Row C by (2/3)
4b) Add (1/2) x Row C to Row B
4c) Add (-7/2) x Row C to Row D
5a) Multiply Row D by (1/7)
5b) Add (-1) x Row D to Row A
5c) Add Row D to Row B
5d) Add (2) x Row D to Row C
I wind up with a very funky solution set full of large fractions as coefficients...can someone let me know what they get please so I can compare...thanks!