Hi, Quick question: If I know that T:V -> W is injective and B is a basis of V, how can i use that to show that T(B) is a basis of W? Thanks
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Originally Posted by dr4g0n9 Hi, Quick question: If I know that T:V -> W is injective and B is a basis of V, how can i use that to show that T(B) is a basis of W? Thanks You can't because it isn't true: is injective but not onto and thus no basis of the definition set can be mapped to a basis of the image set. What is true is that if T is injective then the image of a basis is a lin. indep. set. Tonio
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