Question

The oriented graph representing an electrical network has the following incidence matrix AE BA BC CA CE DC EA ED A 1-1 0 -1 0

(a) Draw the oriented graph. (No need to key in here.) (b) Taking vertex C as the reference vertex, and using the spanning tr

BC Bt ED

(d) Hence find the fundamental cycle matrix Cf and the fundamental cutset matrix Df. (Key in the required values.) 1 2 5 6 BC

BC CA EA ED AE BA CE DC BC 1 0 0 0 CA 0 1 o 0 EA O 0 1 0 ED O 0 0 1

Please help to complete parts c and d. Do not help if you are going to just copy and paste from previous request. Thanks.

The oriented graph representing an electrical network has the following incidence matrix AE BA BC CA CE DC EA ED A 1-1 0 -1 0 0 1 0 C 0 0 1 1 1 -1 0 0 D OO 0 0 0 1 0 1 E 1 0 0 0 1 01 1
(a) Draw the oriented graph. (No need to key in here.) (b) Taking vertex C as the reference vertex, and using the spanning tree with edge BC(3), CA(4), EA(7), and ED(8), find the reduced incidence matrix and write it in the form where Bt has columns corresponding to the branches in the order BC(3), CA(4), EA(7), and ED(8), and Bc has columns corresponding to the chords of the spanning tree. (No need to key in here.) (c) Find B:1. (Key in the required values.)
BC Bt ED
(d) Hence find the fundamental cycle matrix Cf and the fundamental cutset matrix Df. (Key in the required values.) 1 2 5 6 BC CA ED AE BA CE DC AE BA 0 1 0 CE 0 0 1 DC 0 0 0 1
BC CA EA ED AE BA CE DC BC 1 0 0 0 CA 0 1 o 0 EA O 0 1 0 ED O 0 0 1
0 0
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