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Student Support Forum: 'Eigenvalues' topicStudent Support Forum > General > "Eigenvalues"

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Gideon
11/28/07 11:11am

Hi All!
I wonder if you could elucidate a result Mathematica 6.0 returns when calculating the eigenvalues of a certain 3x3 symbolic matrix. One such root (out of possible three) has the explicit form:
Root[#1^3 + #1^2 (-Subscript[c, 1] - 2 Subscript[c, 2] -
2 Subscript[c, 3]) -
Subscript[c, 1] Subscript[c, 2] Subscript[c,
3] + #1 (Subscript[c, 1] Subscript[c, 2] +
2 Subscript[c, 1] Subscript[c, 3] +
3 Subscript[c, 2] Subscript[c, 3]) &, 1].
What does #1 mean here? Does Mathematica mean here by Root that it has yet to actually solve the equation? How can I instruct it to solve each equation, substituting for #1 a more seemly variable such as x? Why does it not simply solve symbolically the resulting eigenvalue equation when I use the function Eigenvalues[]?
Thanks a million,
Gideon

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Subject (listing for 'Eigenvalues')
Author Date Posted
Eigenvalues Gideon 11/28/07 11:11am
Re: Eigenvalues yehuda ben-s... 12/03/07 02:24am
Re: Re: Eigenvalues Gideon 12/03/07 10:33am
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