is the direct sum of Vector Spaces and .
It is built by constructing the space , where can be seen as taking the Cartesian Product and taking the Quotient Space with the relations spanned by:
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Dec 18, 20241 min read
V⨁W is the direct sum of Vector Spaces V and W.
It is built by constructing the space Z:={v⨁w:v∈V,w∈W}, where v⨁w can be seen as taking the Cartesian Product V×W and taking the Quotient Space with the relations spanned by: