Samir posted an Question
March 28, 2022 • 04:34 am 30 points
  • IIT JAM
  • Mathematics (MA)

1. (1) in cs, show that for a e r and v, vi, v2 e r". which axioms of vector space are satisfied by (r", o, 0)? (ii) let f be a field and let n be a positive in

1. (1) In Cs, show that for a E R and v, vi, v2 E R". Which axioms of vector space are satisfied by (R", O, 0)? (II) Let F be a field and let n be a positive integer (n 2 2). Let V be the vector space of all n xn matrices over F. State whether the following subset W of V is subspace or not? Justify your aswer. W {A E V| AB = BA, B E V is some fixed matrix}.

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  • Anonymous User best-answer

    what's vector addition and scalar multiplication composition 2 let C ,D€W then BC=CB and BD=DB for any a,b€F (aC+bD)B=aCB+bDB =aBC+bBD = B(aC+bD) thus aC+bD€W therefore W is a subspace of V

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