I have a question about the rank of adjoint operator....(adsbygoogle = window.adsbygoogle || []).push({});

Let T : V → W be a linear transformation where V and W are finite-dimensional inner product spaces with inner products <‧,‧> and <‧,‧>' respectively. A funtion T* : W → V is called an adjoint of T if <T(x),y>' = <x,T*(x)> for all x in V and y in W.

My question is how to prove that rank(T*) = rank(T)??

Can anyone give me some tips, thanks^^

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# Rank of adjoint operator

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