[Python] What is the correct NumPy representation of a row vector for gradients

I am doing an assignment on matrices and gradients, where the final answer must be expressed as a row vector.

vr = np.array([1, 2, 3])
vrr = np.array([[1, 2, 3]])


Mathematically, a row vector should be a 1×3 matrix, so the shape (1,3) seems to match that idea. However, NumPy treats (3,) as a 1D array, and many operations, like dot products and gradients, seem to work with this form as well.

What I want to clarify:

1. 
   Which of these is the true mathematical row vector?
   
   
2. 
   Which one should I use when a question explicitly asks for a row vector gradient?
   
   
3. 
   Is using shape (3,) mathematically ambiguous compared to (1,3)?
   

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