Ononot — Two matrices A and B commute if AB = BA. If A is diagonal wi

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Matriceshard

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Two matrices $A$ and $B$ commute if $AB = BA$ . If $A$ is diagonal with distinct eigenvalues and $AB = BA$ , which matrix CANNOT be $B$ ? Let $A = \begin{pmatrix} 1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 3 \end{pmatrix}$ .