1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Linear Algebra, unique minimizer of a quadratic function

  1. Jun 14, 2013 #1
    1. The problem statement, all variables and given/known data

    The part I'm having problems with is where the last two expressions in 4.13 are equated. Why is xtKx*equal to x*^tKx*?

    3. The attempt at a solution
    xtKx* is an inner product and due to symmetry is equal to x*^tKx, but wouldnt equating x to x* mean every <x,y> = <x,x> = <y,y>?

    Many thanks if someone decides to help me out.
  2. jcsd
  3. Jun 14, 2013 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    That's not what happened. Try multiplying out the left hand expression of the second line of 4.13.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted