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If I try to find the eigenvalues in following way, mathematica gives something else other than algebraic expression, how to obtain algebraic expression ??? Please suggest something .

 m = {{a, b, c}, {d, e, f}, {g, h, i}};
 Eigenvalues[m]
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  • The Root is telling you it doesn't know how to compute that root for arbitrary symbolic entries. Is it a real-valued matrix? What else can you assume about it? – b3m2a1 Sep 13 '17 at 06:13
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    I don't think there is anything wrong with having Root objects, but if you are a masochist, you could use ToRadicals @ Eigenvalues[m]. – Carl Woll Sep 13 '17 at 06:15
  • Are you sure you didn't want the CharacteristicPolynomial instead? The Root expressions and it are basically equivalent. Give CharacteristicPolynomial[m, \[Lambda]] a look and see if that doesn't make you happier. – b3m2a1 Sep 13 '17 at 06:17
  • @b3m2a1 Thanks for writing!, Yes entries are real! – Schrodinger Sep 13 '17 at 06:27
  • @CarlWoll Thanks for suggestion :) – Schrodinger Sep 13 '17 at 06:28

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