be a linear operator on a vector space V(F). If = 0, t ce oft and null space of t. Also given an example of a line

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Ex.2. Let t be a linear operator on a vector space V(F). If 2 = 0, then find the relation
between range space of t and null space of t. Also given an example of a linear operator on V₂(R)
such that t2 = 0 but t = 0.
Transcribed Image Text:Ex.2. Let t be a linear operator on a vector space V(F). If 2 = 0, then find the relation between range space of t and null space of t. Also given an example of a linear operator on V₂(R) such that t2 = 0 but t = 0.
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