Linear Algebra: Solving a Matrix Equation for X

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Mdhiggenz
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Homework Statement


The question and my work is in the image it is pretty much to solve for X.
Solve the following matrix equation
Handwritten whiteboard working solving the matrix equation AX + B = X by factoring X(A - I), inverting A - I using row reduction, and multiplying by -B to get the final matrix entries.

Not quite sure how I keep messing this problem up.

Homework Equations


The Attempt at a Solution

 
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Mdhiggenz said:

Homework Statement


The question and my work is in the image it is pretty much to solve for X.

Not quite sure how I keep messing this problem up.

Homework Equations





The Attempt at a Solution


The image you posted was too large (1599 pixels x 956 pixels), so I deleted it. Please reformat your image so that it is about 800 x 600.

Also, include the given information, preferably as text in this window.
 
Mark44 said:
The image you posted was too large (1599 pixels x 956 pixels), so I deleted it. Please reformat your image so that it is about 800 x 600.

Also, include the given information, preferably as text in this window.

Fixed.
 
It looks like you have a mistake right at the beginning. I'm assuming that you are given A and B.

If so, A - I =
$$ \begin{bmatrix} 5 - 1 & 3 \\ 3 & 6 - 1\end{bmatrix} = \begin{bmatrix} 4 & 3 \\ 3 & 5\end{bmatrix}$$