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johnnyboy2005

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johnnyboy2005

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matt grime

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Find the roots of the characteristic equation, solve the linear algbebra problem.

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HallsofIvy

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mathwonk

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that means (T-c)v = 0, i.e. that T-c is singular, hence has determinant zero.

so look for those c such that det(T-c) = 0. this is a cubic equation in the coefficients of T.

I.e. if you choose a basis for the space, T becomes a matrix and you can calculate this equation and hopefully find its roots.

Or you may know that T is length preserving, say it camer from geometry as a reflection or a rotation, or something like that, and then that imposes restrictions on the possible eigenvalues.

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johnnyboy2005

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ah, fantastico

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