The currents in an electrical network are given by the solutions of the system $$\left\{ \begin{array} { r l r } I _ { 1 } + I _ { 2 } - I _ { 3 } & = 0 \ 2 I _ { 1 } + 3 I _ { 3 } & = 37 \ 4 I _ { 2 } + I _ { 3 } & = 25 \end{array} \right.$$ 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

Question

Quizplus · Accepted Answer

By setting up the augmented matrix and using Gaussian elimination, the solution to the system is found to be I₁ = 5, I₂ = 4, I₃ = 9.

The Currents in an Electrical Network Are Given by the Solutions