maths.simultaneous_linear_equation_solver

https://en.wikipedia.org/wiki/Augmented_matrix

This algorithm solves simultaneous linear equations of the form λa + λb + λc + λd + … = y as [λ, λ, λ, λ, …, y] Where λ & y are individual coefficients, the no. of equations = no. of coefficients - 1

Note in order to work there must exist 1 equation where all instances of λ and y != 0

Attributes

eq

Functions

simplify(→ list[list])
solve_simultaneous(→ list)

Module Contents

maths.simultaneous_linear_equation_solver.simplify(current_set: list[list]) → list[list]

>>> simplify([[1, 2, 3], [4, 5, 6]])
[[1.0, 2.0, 3.0], [0.0, 0.75, 1.5]]
>>> simplify([[5, 2, 5], [5, 1, 10]])
[[1.0, 0.4, 1.0], [0.0, 0.2, -1.0]]

maths.simultaneous_linear_equation_solver.solve_simultaneous(equations: list[list]) → list

>>> solve_simultaneous([[1, 2, 3],[4, 5, 6]])
[-1.0, 2.0]
>>> solve_simultaneous([[0, -3, 1, 7],[3, 2, -1, 11],[5, 1, -2, 12]])
[6.4, 1.2, 10.6]
>>> solve_simultaneous([])
Traceback (most recent call last):
    ...
IndexError: solve_simultaneous() requires n lists of length n+1
>>> solve_simultaneous([[1, 2, 3],[1, 2]])
Traceback (most recent call last):
    ...
IndexError: solve_simultaneous() requires n lists of length n+1
>>> solve_simultaneous([[1, 2, 3],["a", 7, 8]])
Traceback (most recent call last):
    ...
ValueError: solve_simultaneous() requires lists of integers
>>> solve_simultaneous([[0, 2, 3],[4, 0, 6]])
Traceback (most recent call last):
    ...
ValueError: solve_simultaneous() requires at least 1 full equation

maths.simultaneous_linear_equation_solver.eq = [[2, 1, 1, 1, 1, 4], [1, 2, 1, 1, 1, 5], [1, 1, 2, 1, 1, 6], [1, 1, 1, 2, 1, 7], [1, 1, 1, 1, 2, 8]]