The tensor product of vector spaces (or modules over a ring) can be difficult to understand at first because it's not obvious how calculations can be done with the elements of a tensor product. In this video we give an explanation of an explicit construction of the tensor product and work through several example computations, such as finding a generating set.
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0:00 Construction
14:01 Examples
23:33 Basis for Tensor Product
28:44 Examples
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Music: C418 - Pr Department