Let U be a vector space over F. Then space L(U,F) is called the _______________of \(U^{*}\) Posted on:
Let \(T:U \rightarrow V\) be a linear transformation; T is called _______________ if, for \(u_1,u_2\epsilon U,\) with , we have \(T(u_1 ) \notin T(u_2 ) \) Posted on:
Let U and V be vector spaces over a field F, and let \(T:U \rightarrow V\) be a one-one and onto linear transformation. The T is called an ———-between U and V Posted on:
Let T:U→V be a linear transformation; If T is injective, we also say T is _________ _____________ Posted on:
If T is an isomorphism between U and V then \(T^{-1}\) is an isomorphism between________________________ Posted on:
There are two sets which are associated with any linear transformation, T. These are the range and the ___________________of T Posted on: