SOLUTION: Hello, I'm having some difficulty with the following problem: Use matrices to help find a general solution of each system of equations. { x+z=1 x+y=2 2x+y+z=3 thanks,

Algebra ->  Equations -> SOLUTION: Hello, I'm having some difficulty with the following problem: Use matrices to help find a general solution of each system of equations. { x+z=1 x+y=2 2x+y+z=3 thanks,      Log On


   

Question 182158: Hello, I'm having some difficulty with the following problem:
Use matrices to help find a general solution of each system of equations.
{ x+z=1
x+y=2
2x+y+z=3
thanks,
H.C.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
In matrix form it would look like,
[A]=%28matrix%283%2C3%2C1%2C0%2C1%2C1%2C1%2C0%2C2%2C1%2C1%29%29
[x]=%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29
[b]=%28matrix%283%2C1%2C1%2C2%2C3%29%29
[A][x]=[b]
The solution is
[x]=[A]inv[b]
where [A]inv is the inverse of [A]
This is where the problem comes in.
The determinant of [A] is zero, there is no solution.
Was that the difficulty you were having?