The Currents in an Electrical Network Are Given by the Solutions

Multiple Choice

The currents in an electrical network are given by the solutions of the system $$\left\{ \begin{aligned}I _ { 1 } + I _ { 2 } - I _ { 3 } & = 0 \\4 I _ { 1 } + 5 I _ { 3 } & = 23 \\6 I _ { 2 } + I _ { 3 } & = 9\end{aligned} \right.$$ where I₁, I₂, and I₃ are measured in amperes.Solve the system of equations using matrices.

A) I₁ = 2, I₂ = 3, I₃ = 1
B) I₁ = 2, I₂ = 1, I₃ = 3
C) I₁ = 4, I₂ = 4, I₃ = 9
D) I₁ = 4, I₂ = 4, I₃ = 8
E) no solution