Canonical form derivation of (L1'AL1)

  • #1

Main Question or Discussion Point

Hello everyone,

I actually had a problem with understanding the part where they have defined L'AL = Λ. There, they have taken
γΛγ1 = Σy2λ = 1. Why have they taken that? Is it arbitary or does it come as a result of a derivation?
Screenshot_2018-09-15-15-16-14-1646668577.png

Thank you
 

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  • #2
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sorry, we cannot see the picture
 
  • #3
I don't know why it got blurred. Actually I resolved the problem.
y'Δy is nothing but mitiplying the transpose of vector components of y with the symmetric matrix
Δ = L'1AL1
L is the 1x3 matrix of eigen values of a symmetric matrix A.
And then multiplying the result with y vector. This gives the above expression as I had asked.

Thank you.
 

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