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10 Nov 2019
(8 points) Let V be a vector space of dimension n over the field R, and let B , , vn} be a basis of V. Define a map : V R" by letting s(v)-[u]B. Prove that Ï is an isomorphism, i.e., prove that Ï s linear, one-to-one, and onto.
(8 points) Let V be a vector space of dimension n over the field R, and let B , , vn} be a basis of V. Define a map : V R" by letting s(v)-[u]B. Prove that Ï is an isomorphism, i.e., prove that Ï s linear, one-to-one, and onto.
Jarrod RobelLv2
30 Oct 2019