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Question 1.P.29: Draw the incidence matrix of the following graph....

Draw the incidence matrix of the following graph.

1.29
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In the incidence matrix column represents branches, while rows represent nodes. Therefore,

Note: In matrix A with n rows and b columns, an entry a_{i j} \text { in the } i^{\text {th }} \text { row and } j^{\text {th }} column has the following values:

a_{i j}=1, \text { if } j^{\text {th }} branch is incident to and oriented away from the i^{th} node.

a_{i j}=-1, \text { if } j^{\text {th }} branch is incident to and oriented towards i^{\text {th }} node.

a_{i j}=0 \text {, if } j^{\text {th }} branch is not incident to the i^{\text {th }} node.

           Branches
Nodes a b c d e f
1 1 0 1 0 0 1
2 -1 -1 0 1 0 0
3 0 1 0 0 1 -1
4 0 0 -1 -1 -1 0

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