
NOTES ON QUOTIENT SPACES Let V be a vector space over a field
... As above, you can check that two elements of V determine the same element of V /W if and only if they have the same first coordinate. Hence an element of V /W is just determined by the value of that first coordinate x1 . This gives an identification of V /W with F itself (or, more precisely, with th ...
... As above, you can check that two elements of V determine the same element of V /W if and only if they have the same first coordinate. Hence an element of V /W is just determined by the value of that first coordinate x1 . This gives an identification of V /W with F itself (or, more precisely, with th ...