title: Looping does not enter the else part in an if-else loop
body: <p>Question: </p>
  
  <p>I have a 3*3 transition matrix and another 3*1 matrix. On multiplying these two, I get another 3*1 matrix. I must multiply the new 3*1 matrix with the original 3*3 matrix and this will give me another 3*1 matrix. This has to continue until the 3*1 matrices attained in consecutive steps are close enough or if 10000 such multiplications are completed ( whichever comes first). To see if they are close enough, I have a function :</p>
  
  <p>np.allclose(previous_x, new_x)   # to determine if this process must continue or stop. </p>
  
  <p>previous_x denotes the previous 3*1 matrix and new_x denotes the new 3*1 matrix at hand. </p>
  
  <p>max_steps = 10000</p>
  
  <p>The 'res' in the code below will sure turn 'True' at some point before the 10k steps run out in order to go into the else loop.but for some reason, its not happening. can you please help me solve this ? </p>
  
  <p>[code]</p>
  
  <pre><code>def random_walk(P,x_0,max_steps = 10000):
  
  
      n_steps = 0
  
      def matrix_mult(P,x_0,n_steps):
          x = np.dot(P,x_0)
          res = np.allclose(x_0,x)
          n_steps = n_steps+1
          return x,res,n_steps
  
      x,res,n_steps = matrix_mult(P,x_0,n_steps)
      print(res)
      for i in range(max_steps-1):
          if(res==False):
              print('h')
              x_0 = x
              x=np.dot(P,x_0)
          else:
              print('g')
              x_0 = x
              x,res,n_steps = matrix_mult(P,x_0,n_steps)
              n_steps =i
  
  
  
  
  
  
      return x, n_steps
  random_walk(np.array([[0,1,0.5],[1,0,0],[0,0,0.5]]),np.array([1,0,0]),max_steps = 10000)
  </code></pre>