#範例14-5：求矩陣列空間的基底
#（1）sympy求解
from sympy import *
M = Matrix([
    [1,-3,4,-2,5,4],
    [2,-6,9,-1,8,2],
    [2,-6,9,-1,9,7],
    [-1,3,-4,2,-5,-4]
    ])
M_simple = M.rref()
print('顯示高斯消去法簡化的梯形矩陣的echelon form =\n', M_simple)
M_rowspace = M.rowspace()
M_columnspace = M.columnspace()
print('輸出列空間的向量之線性組和= row space= \n', M_rowspace)
print('輸出行空間的向量之線性組和= column space= \n', M_columnspace)