定義一個矩陣初等行變換的類

class rowTransformation():   array = ([[],[]]) def __init__(self,array):  self.array = array def __mul__(self, other):  pass # 交換矩陣的兩行 def exchange_two_lines(self,x,y):   a = self.array[x-1:x].copy()   self.array[x-1:x] = self.array[y-1:y]   self.array[y-1:y] = a   return self.array # 以k不等于0乘以矩陣中的某x行 def multiply(k,x,self):  self.array[x-1:x] = k*self.array[x-1:x]  return self.array  # 把x行所有元的k倍加到另y行上去 def k_mul_arr_add_arr(self,k,x,y):  self.array[y-1:y] += k*self.array[x-1:x]  return self.array

定義一個初等列變換的類

# 封裝一個初等列變換類class colTransformation():  array = ([[],[]])  def __init__(self, array):  self.array = array  def __mul__(self, other):  pass  # 交換矩陣的兩列 def exchange_two_lines(self, x, y):   a = self.array[:, x-1:x].copy()   self.array[:, x-1:x] = self.array[:, y-1:y]   self.array[:, y-1:y] = a   return self.array  # 以k不等于0乘以矩陣中的某x列 def multiply(self, k, x):  self.array[:, x-1:x] = k*self.array[:, x-1:x]  return self.array  # 把x列所有元的k倍加到另y列上去 def k_mul_arr_add_arr(self, k, x, y):  self.array[:, y-1:y] += k*self.array[:, x-1:x]  return self.array

求矩陣的秩

b = np.array([[2,-1,-1,1,2],[1,1,-2,1,4],[4,-6,2,-2,4],[3,6,-9,7,9]])a = np.linalg.matrix_rank(b)print(a)3

求非齊次線性方程組的解

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