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}.