Hi, I am trying to prove the following equality(adsbygoogle = window.adsbygoogle || []).push({});

Range(T*T) = Range(T*)

where T is a linear transformation and * denotes the adjoint.

I know I must first show that Range(T*T) Range(T*) and vice versa.

so, Let w exist in R(T*T), then there exists a v in vector space V s.t.

T*T(v) = w.

Then I draw a blank, what's next??? Or am I even starting it correctly?

Thanks

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# Homework Help: Linear Transformation Equality

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