circuit linear equation example
After examining a circuit full of resistors, you find that the voltage at 4 specified points is given by:
3v₁ + 2v₂ + 3v₃ + 10v₄ = 4 2v₁ - 2v₂ + 5v₃ + 8v₄ = 1 3v₁ + 3v₂ + 4v₃ + 9v₄ = 3 3v₁ + 4v₂ - 3v₃ - 7v₄ = 2
where v₁ - v₄ are voltages find v₁,v₂,v₃,v₄
local numluau = require("../numluau/numluau")
local A : numluau.ndArray<number> = numluau.array({
{3, 2, 3, 10},
{2,-2, 5, 8},
{3, 3, 4, 9},
{3, 4,-3, -7},
})
local C : numluau.ndArray<number> = numluau.array({4,1,3,2})
local voltages = numluau.linalg.solve(A, C)
print(string.format("voltage results: \nv₁ : %g \nv₂ : %g \nv₃ : %g \nv₄ : %g",voltages[1],voltages[2],voltages[3],voltages[4]))