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.