Quote by Liquid7800
Thanks for giving a name to that method.
Consider then this system of 2 linear equations:
( (2*sqrt(3) )/9 )x + z = 2*sqrt(3)
3*sqrt(2)y  2x = 0
Here are presented two equations with 3 unknowns (x,y,z) is this system solvable using a matrix method?

In this particular case, if we use the Ax=b method, where we then invert A (say with A
^{1} and premultiply b with this, then we must have that A has an inverse. But A here is not a square matrix, and only square matrices have inverses, so the matrix solutions will not prove fruitful.
On the other hand, for all my spoofery, I am trying to prove that the only solution to α
_{1} 2α
_{2} +3α
_{3}=0 and 2α
_{2}α
_{3}=0 is that α
_{1}=α
_{2}=α
_{3}=0. Can you offer any help?