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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- CSIR NET
- Mathematical Sciences
Linear algebra q-3 part -c
Let V be vector space with ordered basis B={v,vz.,V,} define v,=0 and v,-, =0 T,:V>V defined by T,v)=vy+v,,, and T:V>V defined by T,/v)=v+v, forj=1,2,3,....n and if A,B are matrix representation of T, T, w.r.i basis B, then (a) A=B (c) Trace(A) +trace(B) =0 (b) A+B is symmetric matrir (d) det(A) +det(B)=2
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Rakesh
thanks