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bossman007
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Homework Statement
If M is a square matrix, prove:
(A, MB) = (adj(M)A, B)
where (A, MB) denotes the scalar product of the matrices and adj() is the adjoint (hermitian adjoint, transpose of complex conjugate, M-dagger, whatever you want to call it!)
Homework Equations
adj(M)=M(transpose of the complex conjugate)
adj( ) = adjoint
scalar product : A dot B = (A, B) = adj(A)B
I'm supposed to first write (A, MB) = (MB,A)^(complex conjugate) and apply the definitions of the scalar product above and adj(M)...and am warned to take complex conjugates carefully
The Attempt at a Solution
My attempted work is this:...i didnt follow the hint above because i just applied the inner product definition as in the picture and got both sides to be equivalent
[PLAIN]http://postimage.org/image/v3127r3w5/ [/PLAIN]
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