SOLUTION: WHich of the following determinants correctly expresses one of the unknown in the solution of the given equation. x+y+z=6 x-y+z=2 x+y-z=0
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Question 144769
:
WHich of the following determinants correctly expresses one of the unknown in the solution of the given equation.
x+y+z=6
x-y+z=2
x+y-z=0
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1 1 1 6
1 -1 1 2
1 1 -1 0
-R1+R3
1 1 1 6
1 -1 1 2
0 0 -2 -6
-R1+R2
1 1 1 6
0 -2 0 -4
0 0 -2 -6
-1/2 R2
1 1 1 6
0 1 0 2
0 0 -2 -6
-R2+R1
1 0 1 4
0 1 0 2
0 0 -2 -6
-1/2 R3
1 0 1 4
0 1 0 2
0 0 1 3
-R3+R1
1 0 0 1
0 1 0 2
0 0 1 3
Giving solution set {1,2,3}. It is unclear what the question was asking, but this has been solved.