Asked • 05/22/19

Minimal polynomials and characteristic polynomials?

I am trying to understand the similarities and differences between the minimal polynomial and characteristic polynomial of Matrices. 1. When are the minimal polynomial and characteristic polynomial the same 2. When are they different 3. What conditions (eigenvalues/eigenvectors/...) would imply 1 or 2 4. Please tell me anything else about these two polynomials that is essential in comparing them.

2 Answers By Expert Tutors

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Michael H. answered • 05/28/19

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Instructor in linear algebra courses with much tutoring experience

Jonathan T. answered • 05/28/19

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Fun and Patient Calculus, Linear Algebra, Differential Equations Tutor

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