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Q#1 Graph Theory GATE EE 2007 MCQ +2 marks -0.66 marks

The matrix A given below is the node incidence matrix of a network. The columns correspond to branches of the network while the rows correspond to nodes.  Let denote the vector of branch voltages while that of branch currents. The vector denotes the vector of node voltages relative to a common ground.

Which of the following statements is true?

The equations ,

are KVL equations for the network for some loops.

The equations ,

are KVL equations for the network for some loops.

E = AV

AV = 0 are KVL equations for the network.

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