How do you solve using gaussian elimination or gauss-jordan elimination, y+z=-3, x-y+z=-7, x+y=2?

1 Answer
salamat
Mar 28, 2017

x =0, y =2 and z =-5

Explanation:

r_1 -> 0........1........1........-3
r_2 -> 1....-1........1........-7
r_3 -> 1........1........0............2

r_1 = r_1 + r_2
1........0........2........-10
1....-1........1........-7
1........1........0............2

r_2 = r_1 - r_2
1........0........2........-10
0........1........1........-3
1........1........0............2

r_3 = r_3 - r_1
1........0........2........-10
0........1........1........-3
0........1....-2...........12

r_3 = r_3 - r_2
1........0........2........-10
0........1........1........-3
0........0....-3...........15

r_3 = r_3/-3
1........0........2........-10
0........1........1........-3
0........0........1........-5

r_2 = r_2 - r_3
1........0........2........-10
0........1........0............2
0........0........1........-5

r_1 = r_1 - 2r_3
1........0........0...........0
0........1........0............2
0........0........1........-5

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