
System of Equations
I need to find out how to solve a system of equations with the given matrix form:
AX=CX+B;
I know I need to make it in the form of X= with inverse of A and C as well as using the identity matrix
What I have guessed at the moment is
X= (IA)^1 + (IC)^1 + B
I am using excel as I have an equation I have to solve with this but if I can figure out the formula for this I can solve the problem fairly easy.
Thanks!

Re: System of Equations
Hey Launcher.
Rearranging we get AX  CX = B which implies (AC)X = B which implies X = (AC)^(1)*B.

Re: System of Equations
Oh wow thanks! I knew I had to re arrange them one way or another but on my other examples I have had to use the Identity matrix in with my equation to solve the problem. However, X= (AC)(1)*B looks like it may do the trick as well! I will try this out in excel with my given equation now and see what I come up with!
This is the equation I am trying to solve for X which is teh x,y,z,w matrix.
http://i.imgur.com/wkvGTCJ.png

Re: System of Equations
By using excel I got:
x=5
y=10
z=5
w=10
Does this look correct?

Re: System of Equations
Try substituting your X vector back in and see if it checks out.

Re: System of Equations
Yes looks like it checks out! I just wanted to make sure =]
Thanks for all your help chiro your amazing