Discuss the truncated incidence matrix

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Reference no: EM131504766

Question: 1. Prove that the network T - e obtained by deleting an arc e from a tree T consists of two disjoint trees, each of which contains one endpoint of e.

2. Let B be a truncated incidence matrix of a network T with n nodes and n - 1 arcs. Prove that B is nonsingular if and only if T is a tree.

Reference no: EM131504766

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