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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

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

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  1. There are two sets which are associated with any linear transformation, T. These are the range and the ___________________of T
  2. The rank of T is defined to be the _______________________of R(T), the range space of T.
  3. Two finite-dimensional vector spaces U and V are isomorphic if and only if ______________
  4. Let U be a vector space over F. Then space L(U,F) is called the _______________of \(U^{*}\)

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