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Deepak patra Asked a Question
January 14, 2022 11:04 pmpts 30 pts
  • IIT JAM
  • Mathematics (MA)

Q.26- let ti,t2 be linear operators on r2 such that tt2= 0.which of the following holds true? (a) 0 is an eigenvalue of ti or 0 is an eigenvalue of t (b) there

Q.26- Let Ti,T2 be linear operators on R2 such that TT2= 0.Which of the following holds TRUE? (a) 0 is an eigenvalue of Ti or 0 is an eigenvalue of T (b) There exists a nonzero vector w ER2 such that 71 w =Tzw = 0 (o)Ta7 0 (d) T 0 or Tz =0
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  • Navdeep goyal 1 Best Answer
    T1(x,y)=(x,0) and T2(x,y)=(0,y) be a linear opretor T1T2(x,y)=T1(0,y)=(0,0) then T2T1(x,y)=T2(x,y9)=(0,0) T2T1=0 .
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    Navdeep goyal 1
    what's ur dabut
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