如何在SymPy中求解线性方程组?

编程入门行业动态更新时间:2024-10-10 07:30:49

本文介绍了如何在SymPy中求解线性方程组?的处理方法，对大家解决问题具有一定的参考价值，需要的朋友们下面随着小编来一起学习吧！问题描述

对不起，我一般对sympy和python还是陌生的.

Sorry, I am pretty new to sympy and python in general.

我想解决以下欠定的线性方程组:

I want to solve the following underdetermined linear system of equations:

x + y + z = 1 x + y + 2z = 3

推荐答案

SymPy最近获得了一个新的线性系统求解器:sympy.solvers.solveset中的linsolve，您可以按以下方式使用它:

SymPy recently got a new Linear system solver: linsolve in sympy.solvers.solveset, you can use that as follows:

In [38]: from sympy import * In [39]: from sympy.solvers.solveset import linsolve In [40]: x, y, z = symbols('x, y, z')

方程列表形式:

In [41]: linsolve([x + y + z - 1, x + y + 2*z - 3 ], (x, y, z)) Out[41]: {(-y - 1, y, 2)}

增强矩阵形式:

In [59]: linsolve(Matrix(([1, 1, 1, 1], [1, 1, 2, 3])), (x, y, z)) Out[59]: {(-y - 1, y, 2)}

A * x = b表格

In [59]: M = Matrix(((1, 1, 1, 1), (1, 1, 2, 3))) In [60]: system = A, b = M[:, :-1], M[:, -1] In [61]: linsolve(system, x, y, z) Out[61]: {(-y - 1, y, 2)}