Orthogonalize[expr]
- To: mathgroup at smc.vnet.net
- Subject: [mg123318] Orthogonalize[expr]
- From: é å <shlwell1988 at gmail.com>
- Date: Thu, 1 Dec 2011 05:52:27 -0500 (EST)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
Question: We diagonalize the matrix {{L^2*mw^2 + ml^2, a*mw*ml}, {a*mw*ml, r^2*mw^2 + ml^2}} where L, mw, ml, a and r are real numbers. As a result, the normalizing orthogonalizion base is {Cos[the],Sin[the]} and {-Sin[the],Cos[the]} where Tan[2*the]=2*a*ml/((L^2-r^2)*mw) But now in mathematica we do it as follows: In[1]:= Mat = {{L^2*mw^2 + ml^2, a*mw*ml}, {a*mw*ml, r^2*mw^2 + ml^2}} In[2]:= Orthogonalize[Eigenvectors[Mat]] The result is quite complicated with Abs[expr] and Conjugate[expr]. How can we get the desired result?Can you help me?
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