SOLUTION: what is the solution to the system of equations? 2x-y+3z=8 x-6y-z=0 -6x+3y-9z=24 i thnk its either no solution or infinitely many solutions. im not sure. thanks!!!!!

Algebra ->  College  -> Linear Algebra -> SOLUTION: what is the solution to the system of equations? 2x-y+3z=8 x-6y-z=0 -6x+3y-9z=24 i thnk its either no solution or infinitely many solutions. im not sure. thanks!!!!!      Log On


   

Question 80492: what is the solution to the system of equations?
2x-y+3z=8
x-6y-z=0
-6x+3y-9z=24
i thnk its either no solution or infinitely many solutions. im not sure.
thanks!!!!!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
You are correct; no solution as the
coefficient matrix is singular, meaning
the determinant of the coefficient matrix
is zero, meaning that the set of equations
is dependent, meaning that at least one
of the equations is a linear combination
of the others.
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Cheers,
Stan H.