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)}
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.
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