# Matrix, solve, parametres

Tags:
1. Oct 28, 2014

1. The problem statement, all variables and given/known data
hi. i have a linear equation with parameters that i am trying to solve. unknowns are x, y and z.
(12-3t)x + 2y +2z =2
x +0*y +2z =0
12x + (2-t)y + (2-t)z = 12

i am using a matrix-approach with Gaussian-elimination, and my results (for values of t which allows for a specific solution) seem reasonable, but the the variables depend on t. is this correct, or will the answers be without the parameter t even if t is not specified. i believe i have seen a similar problem in one of my books where the solution is without the parameter t.

2. Relevant equations
am i getting it wrong?

3. The attempt at a solution
x= -(2t+20)/(3t2t), y= -(37t-110)/(3t2t), z= (t+10)/(3t2t)

Last edited by a moderator: Oct 28, 2014
2. Oct 29, 2014

### BvU

I think you're doing just fine. For every value of t (*) you have a different set of equations, so it's no wonder t appears in the solution.

(*) for t=0 you get conflicting equations, so it's not surprising there is no answer for x,y,z.

3. Oct 31, 2014

### HallsofIvy

I am puzzled as to why you are writing "$t^2t$" rather than "$t^3$". Am I misunderstanding what you mean?

4. Nov 1, 2014

### ehild

Check the denominator. I think you just copied it wrong.