f ?∈F is a characteristic root of T then ? is a root of the minimal polynomial of T. In particular, T only has a finite number of characteristic roots in F. If T and S are two linear operators with S invertible, then T and STS\power{-1} have the same minimal polynotmial
f ?∈F is a characteristic root of T then ? is a root of the minimal polynomial of T. In particular, T only has a finite number of characteristic roots in F. If T and S are two linear operators with S invertible, then T and STS\power{-1} have the same minimal polynotmial
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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If ?∈F is a characteristic root of T then ?
is a root of the minimal polynomial of T.
In particular, T only has a finite number of
characteristic roots in F.
If T and S are two linear operators with S invertible,
then T and STS\power{-1} have the same minimal polynotmial.
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