Thanu Dharshani posted an Question
August 01, 2021 • 06:44 am 30 points
  • IIT JAM
  • Mathematics (MA)

Mple: 123 let vdenote a vector space over a field f'and with a basis be, c,}. let 1,x,x, ef. let c lxe, xe, tx,e2.., x,e t x,ez t...xe,}. then (a) cisalinearly

mple: 123 Let Vdenote a vector space over a field F'and with a basis Be, C,}. Let 1,X,X, EF. Let C lxe, Xe, tx,e2.., X,e t x,ez t...xe,}. Then (a) Cisalinearly independent set implies that x#0 for every i=1,2,n. (b) x0 for every i 1,2,..., implies that Cis a linearly independent set. (C) The linear span of Cis Vimplies that x, #0 for every i=1,2,..,. (d) x,0 for everyi=1,2,..,n implies that the linear span of C is VJ (CSIRNET-2013) ution: (a), (D), (©, (d)eee to gaun

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