Real symmetric matrix

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1. The problem statement, all variables and given/known data

Given a real diagonal matrix D, and a real symmetric matrix A,

2. Relevant equations

Let C=D*A.


3. The attempt at a solution

How to prove all the eigenvalues of matrix C are real numbers?
 

Dick

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Now why would you think that's true?
 

CompuChip

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Also note this thread.
 

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