Shweta posted an Question
January 11, 2020 • 18:48 pm 15 points
  • IIT JAM
  • Mathematics (MA)

Let V be the space of all linear transformations from c(R) to C(R). Then Vis a vector space of dimension 3 Vis a vector space of dimension 6 Vis a vector space

Let V be the space of all linear transformations from c(R) to C(R). Then Vis a vector space of dimension 3 Vis a vector space of dimension 6 Vis a vector space of dimension 12 VIs not a vector space

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  • Priyadarshan Choursiya Best Answer

    I assume that you know the dimensions of C^3(R) and C(R). so I am not going to prove them. thm.#. if V(F) and V'(F) are finite dimensions vector space over F, then hom(V , V') is a vector space over F. answer ( C ). if C^3 and C are vector space over C then the answer is ( a). this is just extra information to you that how field is important.

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