如何在SymPy中求解线性方程组? [英] How can I solve system of linear equations in SymPy?

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)}

注意:解决方案的顺序与给定符号的顺序相对应.

Note: Order of solution corresponds the order of given symbols.

这篇关于如何在SymPy中求解线性方程组?的文章就介绍到这了，希望我们推荐的答案对大家有所帮助，也希望大家多多支持IT屋！