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matrix multiplication - Multiplying values from two different dictionaries together in Python

I have two separate dictionaries with keys and values that I would like to multiply together. The values should be multiplied just by the keys that they have.

i.e.

dict1 = {'a': 1, 'b': 2, 'c': 3}
dict2 = {'a': 15, 'b': 10, 'd': 17}

dict3 = dict.items() * dict.items()
print dict3

#### #dict3 should equal 
{'a': 15, 'b': 20}

If anyone could help, that would be great. Thanks!

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You can use a dict comprehension:

>>> {k : v * dict2[k] for k, v in dict1.items() if k in dict2}
{'a': 15, 'b': 20}

Or, in pre-2.7 Python, the dict constructor in combination with a generator expression:

>>> dict((k, v * dict2[k]) for k, v in dict1.items() if k in dict2)
{'a': 15, 'b': 20}

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