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Let S and T be linear transformations from a finite dimensional vector space V to itself such that S(T(v)) = 0 for all v ∈ V. Thena)rank(T) ≥ nullity(S)b)rank(S) ≥ nullity(T)c)rank(T) ≤ nullity(S)d)rank(S) ≤ nullity(T)Correct answer is option 'A,B,C'. Can you explain this answer? for IIT JAM 2023 is part of IIT JAM preparation. The Question and answers have been prepared
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Let S and T be linear transformations from a finite dimensional vector space V to itself such that S(T(v)) = 0 for all v ∈ V. Thena)rank(T) ≥ nullity(S)b)rank(S) ≥ nullity(T)c)rank(T) ≤ nullity(S)d)rank(S) ≤ nullity(T)Correct answer is option 'A,B,C'. Can you explain this answer?, a detailed solution for Let S and T be linear transformations from a finite dimensional vector space V to itself such that S(T(v)) = 0 for all v ∈ V. Thena)rank(T) ≥ nullity(S)b)rank(S) ≥ nullity(T)c)rank(T) ≤ nullity(S)d)rank(S) ≤ nullity(T)Correct answer is option 'A,B,C'. Can you explain this answer? has been provided alongside types of Let S and T be linear transformations from a finite dimensional vector space V to itself such that S(T(v)) = 0 for all v ∈ V. Thena)rank(T) ≥ nullity(S)b)rank(S) ≥ nullity(T)c)rank(T) ≤ nullity(S)d)rank(S) ≤ nullity(T)Correct answer is option 'A,B,C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Let S and T be linear transformations from a finite dimensional vector space V to itself such that S(T(v)) = 0 for all v ∈ V. Thena)rank(T) ≥ nullity(S)b)rank(S) ≥ nullity(T)c)rank(T) ≤ nullity(S)d)rank(S) ≤ nullity(T)Correct answer is option 'A,B,C'. Can you explain this answer? tests, examples and also practice IIT JAM tests.