numpy matrix vector multiplication

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When I multiply two numpy arrays of sizes (n x n)*(n x 1), I get a matrix of size (n x n). Following normal matrix multiplication rules, a (n x 1) vector is expected, but I simply cannot find any information about how this is done in Python"s Numpy module.

The thing is that I don"t want to implement it manually to preserve the speed of the program.

Example code is shown below:

a = np.array([[ 5, 1 ,3], [ 1, 1 ,1], [ 1, 2 ,1]])
b = np.array([1, 2, 3])

print a*b
   >>
   [[5 2 9]
   [1 2 3]
   [1 4 3]]

What i want is:

print a*b
   >>
   [16 6 8]

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