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Linear Algebra, unique minimizer of a quadratic function

  • Thread starter kristo
  • Start date
  • #1
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Homework Statement


2013_06_13_20_56_10.jpg


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*?




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.
 

Answers and Replies

  • #2
haruspex
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Why is xtKx*equal to x*^tKx*?
That's not what happened. Try multiplying out the left hand expression of the second line of 4.13.
 

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