03-20-2019, 04:45 PM
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#2
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Distinguished Member
Join Date: May 2016
Location: Central Europe
Posts: 604
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I have a nice one for you:
Let phi be a linear isometry in a four-dimensional euclidean vector-space with determinant 1.
Proof that there are real number a and b, so that the characteristic polynomial of phi is equal to:
X^4 + aX^3 + bX^2 + aX + 1
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