My Math Forum  

Go Back   My Math Forum > College Math Forum > Linear Algebra

Linear Algebra Linear Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
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.
meilixingqing89 is offline  
 
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.
brunojo is offline  
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!
brunojo is offline  
Reply

  My Math Forum > College Math Forum > Linear Algebra

Tags
adjoint, problem



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Problem involving adjoint and orthogonal complement walter r Linear Algebra 5 October 16th, 2013 10:57 AM
Find adjoint? rummi Linear Algebra 4 November 21st, 2012 06:51 PM
Adjoint problem typhoonss821 Linear Algebra 1 February 6th, 2010 05:11 AM
Adjoint matrix rebecca Linear Algebra 1 January 29th, 2010 06:31 AM
Rank of Adjoint BSActress Linear Algebra 0 December 14th, 2009 06:33 AM





Copyright © 2018 My Math Forum. All rights reserved.