September 26th, 2017, 01:39 PM  #1 
Newbie Joined: Jun 2016 From: Somewhere Posts: 9 Thanks: 0  Matrix problem
hey guys, I have a problem with a matrix problem I'm not too sure if I'm doing right. Here it goes. I'm given a few sets of 2x2 matrices but I'm given an "X" matrix. and need to solve for X. X is a 2x2 matrix. [5 4] X + [9 1] =[1 4]X [ 7 9] [ 0 8] [3 5] One way I was thinking is this way.... Ax+B = Cx > (CA)x =B > x = {(AC)^1 }*B Am I doing this right? 
September 26th, 2017, 02:07 PM  #2  
Senior Member Joined: Sep 2015 From: USA Posts: 2,124 Thanks: 1102 
$\begin{pmatrix}5 &4 \\7 &9\end{pmatrix}X + \begin{pmatrix}9 &1 \\0 &8\end{pmatrix} = \begin{pmatrix}1 &4 \\ 3 &5\end{pmatrix}X$ is that what you mean? Quote:
$(CA)X = B \Rightarrow X = (CA)^{1}B$ provided that $(CA)^{1}$ exists.  

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