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Question 795428: The system of equations may have a unique solution, an infinite number of solutions, or no solution.Use matrices to find the general solution of each system, if a solution exists. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answers in terms of z.
{{x+y+z=0}}}}
{{2x-y-z=0}}}
{{-x+2y+2z=0}}}
I have broken the matrix down to this:
[1 0 0 0]
[0 1 1 0]
[0 0 0 0]
How do i state this in terms of Z?
Answer by AnlytcPhil(1806)   (Show Source):
You can put this solution on YOUR website!
The matrix
[1 0 0 | 0]
[0 1 1 | 0]
[0 0 0 | 0]
means
1x + 0y + 0z = 0
0x + 1y + 1z = 0
0x + 0y + 0z = 0
or
x = 0
y + z = 0
or
x = 0
y = -z
So the solution in terms of z is:
(x,y,z) = (0,-z,z)
Edwin
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