input: class MatrixOperations:
      """
      A class to perform various matrix operations like addition, subtraction, multiplication, and transpose.
  
      Example:
      >>> m1 = MatrixOperations(2, 2, [1, 2, 3, 4])
      >>> m2 = MatrixOperations(2, 2, [5, 6, 7, 8])
      >>> m1.add(m2)
      >>> str(m1)
      '6 8 \n10 12 \n'
  
      >>> m1.sub(m2)
      >>> str(m1)
      '1 2 \n3 4 \n'
  
      >>> m1.mul(m2)
      >>> str(m1)
      '19 22 \n43 50 \n'
  
      >>> m1.transpose()
      >>> str(m1)
      '19 43 \n22 50 \n'
      """
  
      def __init__(self, m, n, lst):
          self.m = m
          self.n = n
          self.mat = []
  
          c = 0
          for i in range(self.m):
              a = []
              for j in range(self.n):
                  a.append(lst[c])
                  c += 1
              self.mat.append(a)
  
      def __str__(self):
          output = ""
          for i in self.mat:
              for j in i:
                  output += str(j) + " "
              output += '\n'
          return output
  
      def add(self, mat2):
          for i in range(self.m):
              for j in range(self.n):
                  self.mat[i][j] += mat2.mat[i][j]
  
      def sub(self, mat2):
          for i in range(self.m):
              for j in range(self.n):
                  self.mat[i][j] -= mat2.mat[i][j]
  
      def mul(self, mat2):
          result = []
          for i in range(self.m):
              a = []
              for j in range(mat2.n):
                  s = 0
                  for k in range(self.n):
                      s += self.mat[i][k] * mat2.mat[k][j]
                  a.append(s)
              result.append(a)
          self.mat = result
          self.m = len(result)
          self.n = len(result[0])
  
      def transpose(self):
          result = [[self.mat[j][i] for j in range(len(self.mat))] for i in range(len(self.mat[0]))]
          self.mat = result
          self.m = len(result)
          self.n = len(result[0])
output:     
      def __eq__(self, other):
          if self.m != other.m or self.n != other.n:
              return False
          for i in range(self.m):
              for j in range(self.n):
                  if self.mat[i][j] != other.mat[i][j]:
                      return False
          return True
  