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Mathematics 16 Online
OpenStudy (anonymous):

how can you prove that T+T*=(T+T*)* ??

OpenStudy (unklerhaukus):

\[\emptyset=U^*\]

OpenStudy (anonymous):

????????????????

OpenStudy (unklerhaukus):

T and the complement of T combine to give the Universal set ,

OpenStudy (anonymous):

T+T*=T*+T =(T*+T)* =((T*)*+T*) =T+T* this is how i did it. cant get T+T*=(T+T*)* plz just show me how to do it

OpenStudy (unklerhaukus):

\[T\wedge T^*=\emptyset\]

OpenStudy (anonymous):

Sorry to interrupt, but just what is this notation "*"?

OpenStudy (anonymous):

conjugate transpose.

OpenStudy (anonymous):

this is original question for any operator T, show T+T* is self-adjoint and T-T* is skew-adjoint

OpenStudy (unklerhaukus):

oh the you should have used this symbol \[\dagger\]

OpenStudy (anonymous):

|dw:1348722432515:dw|

OpenStudy (anonymous):

this is what my book says.

OpenStudy (anonymous):

we don't use dagger

OpenStudy (anonymous):

anyway, can anyone help me out???????

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