Kunze Linear Algebra · Problem 6.4.4

Elementary Canonical Forms

Mathematics — Methods · triangular-form-3x3

Problem

Let A=[0102−222−32].A = \begin{bmatrix} 0 & 1 & 0 \\ 2 & -2 & 2 \\ 2 & -3 & 2 \end{bmatrix}. Is AA similar over the field of real numbers to a triangular matrix? If so, find such a triangular matrix.

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