Question 938535
.
Hello, I am having issues with my system of equations homework. I was wondering of you could help me. 
I generally know how to solve them but I cannot get mine to turn out. 
The system is:

x+y+z+w=6
2x+3y-w=0
-3x+4y+z+2w=4
x+2y-z+w=0

Thanks in advance! :)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~



Use advantages of the modern technology.


Go to web-site www.reshish.com


Find there free of charge online calculator for solving systems of linear equations.


Choose the Gauss-Jordan elimination method there.


Setup the extended matrix of the system and get the step by step solution 
with all accompanying detailed explanations


x = 1, y = 0, z = 3, w = 2.



Tutor @mathmate reviewed this problem and gave his interesting suggestions.


One of his suggestion was that the matrix of the system is ill-defined.


I checked it by calculating its determinant.


(Again, I used the online calculator www.reshish.com)


The determinant of the matrix is  54,  so it is  NOT  ill-defined.



@ikleyn,  PhD in  Math and  Physics, 
with a professional  Math education from a renowned university and
with  40  years experience working as a computer programmer 
and a researcher in computational physics/mechanics/civil engineering.


(solid bodies,  porous media,  heat transfer  (thermal conductivity,  phase changes,  convective heat transfer,
combined thermal,  convective and radiative heat transfer,  hydrodynamics,  fluid-structure interaction etc.)