Kunze Linear Algebra · Problem 7.2.9

Rational and Jordan Forms

Mathematics — Methods · rational-form

Problem

Let AA be the real matrix A=[133313−3−3−5].A = \begin{bmatrix} 1 & 3 & 3 \\ 3 & 1 & 3 \\ -3 & -3 & -5 \end{bmatrix}. Find an invertible 3×33 \times 3 real matrix PP such that P−1APP^{-1}AP is in rational form.

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