Kunze Linear Algebra · Problem 1.5.5

Systems of Linear Equations

Mathematics — Methods · matrix-equations

Problem

Let A=[1−12210],B=[31−44].A = \begin{bmatrix} 1 & -1 \\ 2 & 2 \\ 1 & 0 \end{bmatrix}, \quad B = \begin{bmatrix} 3 & 1 \\ -4 & 4 \end{bmatrix}. Is there a matrix CC such that CA=BCA = B?

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