The graph associated with an electrical network has 7 branches and 5 nodes. The number of independent KCL equations and the number of independent KVL equations, respectively, are

The three circuit elements shown in the figure are part of an electric circuit. The total power absorbed by the three circuit elements in watts is __________.

The matrix A given below in the node incidence matrix of a network. The columns correspond to branches of the network while the rows correspond to nodes. Let V=[v_{1}v_{2} ... v_{6}]^{T} denote the vector of branch voltages while I=[i_{1}i_{2} ... i_{6}]^{T} that of branch currents. The vector E=[e_{1}e_{2}e_{3}e_{4}]^{T} denotes the vector of node voltages relative to a common ground.