1. Consider the following flow diagram 40 x1 60 x3 x2 x4 30 x5 10 in which the flow into any vertex must equal the flow out. | (a) Starting from the top left vertex and reading clockwise, specify four linear equations in- volving #1,..., T5, writing each in the form of the variables on the left, and a constant on the right. (b) Write the simultaneous equations from (a) in augmented matrix form, and proceed to calculate the reduced row echelon form. (c) Find the general solution of the linear system corresponding to the reduced row echelon form in (b). (d) Suppose the values in the figure (40, 60, 10, 30) reading clockwise, are changed to (80, 120, 20, 60). Let the new unknowns be labelled (y1, Y2, Y3; Y4, Y5), replacing (x1, x2, x3, 14, X5). Using only your answers to (a) and (c), specify the general solution of the corresponding linear system.

Computer Networking: A Top-Down Approach (7th Edition)
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Please do parts a, b, c, d

 

1. Consider the following flow diagram
40
х1
60
X3
x2
х4
30
x5
10
in which the flow into any vertex must equal the flow out.
|
(a) Starting from the top left vertex and reading clockwise, specify four linear equations in-
volving x1,..., c5, writing each in the form of the variables on the left, and a constant on
the right.
(b) Write the simultaneous equations from (a) in augmented matrix form, and proceed to
calculate the reduced row echelon form.
(c) Find the general solution of the linear system corresponding to the reduced row echelon
form in (b).
(d) Suppose the values in the figure (40, 60, 10, 30) reading clockwise, are changed to (80, 120, 20, 60).
Let the new unknowns be labelled (y1, Y2, Y3, Y4, y5), replacing (x1, X2, x3, x4, X5). Using only
your answers to (a) and (c), specify the general solution of the corresponding linear system.
Transcribed Image Text:1. Consider the following flow diagram 40 х1 60 X3 x2 х4 30 x5 10 in which the flow into any vertex must equal the flow out. | (a) Starting from the top left vertex and reading clockwise, specify four linear equations in- volving x1,..., c5, writing each in the form of the variables on the left, and a constant on the right. (b) Write the simultaneous equations from (a) in augmented matrix form, and proceed to calculate the reduced row echelon form. (c) Find the general solution of the linear system corresponding to the reduced row echelon form in (b). (d) Suppose the values in the figure (40, 60, 10, 30) reading clockwise, are changed to (80, 120, 20, 60). Let the new unknowns be labelled (y1, Y2, Y3, Y4, y5), replacing (x1, X2, x3, x4, X5). Using only your answers to (a) and (c), specify the general solution of the corresponding linear system.
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