Kunze Linear Algebra · Problem 7.3.3

Rational and Jordan Forms

Mathematics — Methods · jordan-form

Problem

If AA is a complex 5×55 \times 5 matrix with characteristic polynomial f=(x−2)3(x+7)2f = (x - 2)^3(x + 7)^2 and minimal polynomial p=(x−2)2(x+7)p = (x - 2)^2(x + 7), what is the Jordan form for AA?

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