Thread: Simultaneous Equations

1. Simultaneous Equations

Hi I need help on solving a 3parameter simultaneous equation
-2.006x-0.5y-0.7z=0
-0.5x-2.606y+1.1z=0
-0.7x+1.1y-0.906z=0
I need to solve for x, y and z.
Can anybody explain how I would go about this?
Thanks

2. Hi

If the 3 equations are linearly independent (and it seems to be the case) then (x=0,y=0,z=0) is the only solution

3. I forgot to say that x, y and z cannot equal 0.

4. Originally Posted by markrvr
I forgot to say that x, y and z cannot equal 0.
The determinant is NOT 0 (it is -0.0355382, approximately) so, as running-gag said, there is NO other solution.

5. Ok so say I have a singular matrix and I want to solve for x, y and z. How would I do this?

6. Originally Posted by markrvr
Ok so say I have a singular matrix and I want to solve for x, y and z. How would I do this?
There will either be no solution or an infinite number of solutions. It will depend on what the equations are.

7. Would yo do it by reducing the variables i.e. eqn1 -2eqn2 and reducing it to two variables?