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2014-12-12 22:04:54 +0200	commented answer	Calculation of symbolic eigenvalues Thanks a lot. Here is the link to the page where an example of symbolic eigenvalue is calculated. I tried it on my machine and it worked. I don't know how I should get the eigenvalues from the characteristic polynomial!
2014-12-12 18:17:24 +0200	asked a question	Calculation of symbolic eigenvalues Hello, I am very new to Sage. In my first trial, I sought for eigenvalues of a symbolic matrix. However, Sage returns the following error: ArithmeticError: could not determine eigenvalues exactly using symbolic matrices; try using a different type of matrix via self.change_ring(), if possible I have seen an example of eigenvalues of a symbolic matrix being calculated by Sage on another page. So I wonder what the problem is in this case. Below is my code: `var('s b') A = matrix([[0,0,b,b,b,b,b,b,b,b],[s,0,0,0,0,0,0,0,0,0],[0,s,0,0,0,0,0,0,0,0],[0,0,s,0,0,0,0,0,0,0],[0,0,0,s,0,0,0,0,0,0],[0,0,0,0,s,0,0,0,0,0],[0,0,0,0,0,s,0,0,0,0],[0,0,0,0,0,0,s,0,0,0],[0,0,0,0,0,0,0,s,0,0],[0,0,0,0,0,0,0,0,s,0]]); A A_evals = A.eigenvalues()` Many thanks for your support.