For any two matrices A and B,


For any two matrices $A$ and $B$,

A. $\mathrm{AB}=\mathrm{BA}$ is always true

B. $\mathrm{AB}=\mathrm{BA}$ is never true

C. sometimes $\mathrm{AB}=\mathrm{BA}$ and sometimes $\mathrm{AB} \neq \mathrm{BA}$

D. whenever $\mathrm{AB}$ exists, then $\mathrm{BA}$ exists


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