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**1. Homework Statement**

http://sudokupuzzles.net/IMG_0033g.gif [Broken]

**2. Homework Equations**

Flow into a node=flow out of a node.

Turned relative flows through each node (A,B,C,D,E,F) into system of equations; and entered system of equations into augmented matrix as shown. Reduced matrix to REF.

**3. The Attempt at a Solution**

http://sudokupuzzles.net/IMG_0034.jpg [Broken]

I am not certain if I can be more exact with part a f_5 and f_6.

I entered all the pertinent equations into the system possible for each node. (Is there another eautaion that could be entered (to help reduce answer)?)

Part b, I have no visual explanation, as per the diagram, to why f_1=f_6.

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