Newbie question about numpy

[Paul Johnston]

Hi I'm new to python and have just been taking a look at what it has
to offer.
I noted the lack of matrices so installed numpy
I know the documentation is chargable so wanted a quick play to see if
I should buy it 
However 

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from numpy  import *

a = array([[1,2,3],[4,5,6],[1,2,3]])
b = array([[1,3,6],[2,5,1],[1,1,1]])

print 'a = \n',a,"\n"
print 'b = \n',b,"\n"

print 'a has shape ', a.shape
print 'b has shape ', b.shape, "\n"

print "a * b is \n", a * b
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Gives me 
_________________________________________________________
a =
[[1 2 3]
 [4 5 6]
 [1 2 3]] 

b =
[[1 3 6]
 [2 5 1]
 [1 1 1]] 

a has shape  (3, 3)
b has shape  (3, 3) 

a * b is
[[ 1  6 18]
 [ 8 25  6]
 [ 1  2  3]]
_________________________________________________________


I know its a long time since my degree but that's not matrix
multiplication is it ?

TIA Paul