Branch current and loop current relation is expressed in matrix form s – McqOptions

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1.	Branch current and loop current relation is expressed in matrix form shown below, where Ij represents branch current and Ik represents loop current. [I₁; I₂; I₃; I₄; I₅; I₆; I₇; I₈] = [0 0 1 0; -1 -1 -1 0; 0 1 0 0; 1 0 0 0; 0 0 -1 -1; 1 1 0 -1; 1 0 0 0; 0 0 0 1] [I₁; I₂; I₃; I₄] The rank of the incidence matrix is?
A.	4
B.	5
C.	6
D.	8
Answer» B. 5

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Branch current and loop current relation is expressed in matrix form shown below, where Ij represents branch current and Ik represents loop current.<br>[I<sub>1</sub>; I<sub>2</sub>; I<sub>3</sub>; I<sub>4</sub>; I<sub>5</sub>; I<sub>6</sub>; I<sub>7</sub>; I<sub>8</sub>] = [0 0 1 0; -1 -1 -1 0; 0 1 0 0; 1 0 0 0; 0 0 -1 -1; 1 1 0 -1; 1 0 0 0; 0 0 0 1] [I<sub>1</sub>; I<sub>2</sub>; I<sub>3</sub>; I<sub>4</sub>]<br>The rank of the incidence matrix is?