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September 26th, 2017, 02:39 PM   #1
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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 -> (C-A)x =B -> x = {(A-C)^-1 }*B

Am I doing this right?
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September 26th, 2017, 03:07 PM   #2
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$\begin{pmatrix}-5 &-4 \\7 &9\end{pmatrix}X + \begin{pmatrix}-9 &-1 \\0 &-8\end{pmatrix} = \begin{pmatrix}1 &4 \\ 3 &-5\end{pmatrix}X$

is that what you mean?

Quote:
One way I was thinking is this way....

Ax+B = Cx -> (C-A)x =B -> x = {(A-C)^-1 }*B

Am I doing this right?
no, that's not quite correct

$(C-A)X = B \Rightarrow X = (C-A)^{-1}B$

provided that $(C-A)^{-1}$ exists.
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