how to multiply each row from one matrix to every rows to another matrix on Python?

A and B matrices will be different when i run the program

A = np.array([[1, 1, 1], [2, 2, 2]])
B = np.array([[1, 1, 1], [2, 2, 2], [3, 3, 3]])

The output matrix (C) should be the same dimension as matrix A.
As title says, I’m trying to multiply each row from one matrix (A) to every rows to another matrix (B) and would like to sum them.

For example,
Dimension of C = (2,3)

C = [[A(0)*B(0) + A(1)*B(0)], [A(0)*B(1) + A(1)*B(1)],[A(0)*B(1) + A(1)*B(1)]]

I would like to know if there is a numpy function does that.

>Solution :

Use numpy broadcasting:

C = (A * B[:, None]).sum(axis=1)

Output:

>>> C
array([[3, 3, 3],
       [6, 6, 6],
       [9, 9, 9]])