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Linear Algebra Question - Matrices

  • #1
The flow through acommunication circuit is modeled by the graph below. Solve the circuit.
Let the face be a circut

120 -----> :rolleyes: --x2--->:rolleyes: -----> 150
^ ^
l x1 l x3
l l
340 -----> :rolleyes: --x4--->:rolleyes: -----> 310

There is some formatting error with the x1 and x3, but x1 goes from the bottom left circuit to the top left circuit and x3 goes from the bottom right circut to the upper right circuit.

I just wanted someone to check what I have done to make sure it is correct and that I haven't forgotten anything. Thanks!

I have :
120 + x1 = x2
340 = x1 + x4
x2 + x3 = 150
x4 = 310 + x3

Matrix
-1 1 0 0 120
1 0 0 1 340
0 1 1 0 150
0 0 -1 1 310

after row reducing the matrix it comes out as
1 0 0 1 340
0 1 0 1 460
0 0 0 -1 -310
0 0 0 0 0

The equations are
x1 + x4 = 360
x2 + x4 = 460
x3 - x4 = 310

Is this correct? Am I missing something? Thanks!
 
Last edited:

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