Let v be a finite-dimensional real ie f r vector space let
Let V be a finite-dimensional real (i.e. F = R) vector space. Let T be an element of L(V)(set of operators on V),and assume that T^2 = 0.
a) Prove that rangeT is contained in nullT.
b) Prove that dimnullT >= (dimV )/2. Hint. Make use of a)
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let v be a finite-dimensional real ie f r vector space let t be an element of lvset of operators on vand assume that
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