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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- IIT JAM
- Mathematics (MA)
Proove that linear transformation is one one but not onto.
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Anuj s.
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is there is any relationship between "an" and "n" or be take any arbitrary relationship which is one-one but not onto? if there is relationship between "an" and "n" we will prove that it is not onto by proving co-domain is not equal to range
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Piyush pachauri Best Answer
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Shashi ranjan sinha![best-answer]()
T(An) = (0,0,...) implies (0,a1, a2,....) = (0,0,0,...) implies a1= a2=.....= 0 implies An =(0,0,0, ..) implies Kernel T = {(0,0,0,...)} . Hence, T is one one