Kunze Linear Algebra · Problem 6.2.5

Elementary Canonical Forms

Mathematics — Methods · similarity-diagonal-matrix

Problem

Let A=[6−3−24−1−210−5−3].A = \begin{bmatrix} 6 & -3 & -2 \\ 4 & -1 & -2 \\ 10 & -5 & -3 \end{bmatrix}. Is AA similar over the field RR to a diagonal matrix? Is AA similar over the field CC to a diagonal matrix?

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