Nullspace of a transpose incidence matrix

Recall the definition of the arc-node incidence matrix of a network.

By definition, for the arc-node incidence matrix A, we have \mathbf{1}^T A = 0, where 1 is the vector of ones in \mathbb{R}^m. Hence, 1 is in the nullspace of A^T.

See also: Rank properties of the arc-node incidence matrix.

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