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The Currents in an Electrical Network Are Given by the Solutions

Question 60

Multiple Choice

The currents in an electrical network are given by the solutions of the system {I1+I2I3=02I1+3I3=374I2+I3=25\left\{ \begin{array} { r l r } I _ { 1 } + I _ { 2 } - I _ { 3 } & = 0 \\2 I _ { 1 } + 3 I _ { 3 } & = 37 \\4 I _ { 2 } + I _ { 3 } & = 25\end{array} \right. where I1,I2,and I3 are measured in amperes.Solve the system of equations using matrices.


A) no solution
B) I1 = 3,I2 = 3,I3 = 7
C) I1 = 5,I2 = 4,I3 = 9
D) I1 = 3,I2 = 3,I3 = 6
E) I1 = 5,I2 = 9,I3 = 4

Correct Answer:

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