Kunze Linear Algebra · Problem 1.6.4

Systems of Linear Equations

Mathematics — Methods · eigenvalue-problems

Problem

Let A=[500150015].A = \begin{bmatrix} 5 & 0 & 0 \\ 1 & 5 & 0 \\ 0 & 1 & 5 \end{bmatrix}. For which XX does there exist a scalar cc such that AX=cXAX = cX?

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