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I have a Image processing application in which I have a Matrix equation as below:

$A \cdot R=I$

where,

$A = 3 \times 3$ matrix (Constants)

$R = 3 \times 1$ matrix (Column Vector) Lets call this as actual output.

$I = 3 \times 1$ matrix . Lets call $I$ as Ideal output

I know the values of matrix $I$, and $R$. I have to find what matrix $A$, if post multiplied by $R$ would give me matrix $I$.

How can I set his situation up in matrix algebra and solve it compute $A$?

Any pointers would be helpful.

Thank You.

-AD.

  • 5
    Do you have multiple pairs of values for $R$ and $I$ at your disposal? If you have only one pair of values, then there are many possibility for $A$.2010-08-16
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    @Rasmus: Technically i have 24 sets of values for I and R, My ideal situation would be if i find one such A for one set of value of I and R, i can assume it would work for all remaining sets. But for simplicity if i assume there is only one set of I and R, then how would u suggest i proceed?2010-08-16

5 Answers 5