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Vijay posted an Question
June 26, 2022 • 10:57 am 30 points
  • CSIR NET
  • Mathematical Sciences

182. let {v, v2, v3, v4 be a basis of r and v = a,v, t a,v, t a,v, + a,va, where a, e r, i=1,2,3,4 then, {v-v, v2-v, v3- v, v4 v} is a basis of r* if and only i

182. Let {V, V2, V3, V4 be a basis of R and v = a,v, t a,v, t a,v, + a,va, where a, e R, i=1,2,3,4 Then, {v-V, V2-V, V3- V, V4 V} is a basis of R* if and only if (a) a, = a, =a, a4 (C) a ta, ta, ta,1 (b) a,a,a,a,-1 (d) a, + a, ta,ta, 0

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