The Currents in an Electrical Network Are Given by the Solutions

question 44

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

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