April 8th, 2009, 04:25 PM  #1 
Newbie Joined: Apr 2009 Posts: 1 Thanks: 0  adjoint problem
Hello everyone! I'm new here~ I have a question. Please help me! Thanks a lot! Fix a vector v ? V and define T ? L(V, F) by Tu = <u,v>. For a ? F, find a formula for T*a. 
April 9th, 2009, 06:54 PM  #2 
Senior Member Joined: Nov 2007 Posts: 258 Thanks: 0  Re: adjoint problem
Step 1 : find out what the matrix representation of T looks like with respect to some basis of your choice. Pick the standard ordered basis because it's the easiest to work with. Is your inner product the standard inner product (i.e. the dot product)? If so, it should be very easy to find out what the matrix of T looks like. Step 2. determine the matrix of T* from the matrix of T. Step 3. Given a, calculate T*(a) and you are done. 
April 9th, 2009, 06:55 PM  #3 
Senior Member Joined: Nov 2007 Posts: 258 Thanks: 0  Re: adjoint problem
By the way, welcome to the forums. I hope you'll stick around!


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