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Vijay posted an Question
July 25, 2022 • 20:17 pm 30 points
  • CSIR NET
  • Mathematical Sciences

Q.4 let vbe a vector space of dimension 2 over the field fwith eardinality 3. then the umber of ordered basis of v (f) is (answer should be integer)

Q.4 Let Vbe a vector space of dimension 2 over the field Fwith eardinality 3. Then the umber of ordered basis of V (F) is (Answer should be integer)

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    Navdeep goyal 1 Best Answer

    Let F={a,b,c} Then order pair (a,a)(b,b)(c,c)(a,b)(b,a)(a,c)(c,a)(b,c)(c,b) Total 9 basis contain 2 LI vector so total elements (3²-1)(3²-3)/(3-1)=24

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