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## Main Question or Discussion Point

I'm hoping that you can help me settle an argument. For a matrix [itex]\textbf{M}[/itex] with elements [itex]m_{ij}[/itex], is there any sitaution where the notation [itex](M_{ij})^{-1}[/itex] could be correctly interpreted as a matrix with elements [itex]1/m_{ij}[/itex]?

Personally I interpret [itex](M_{ij})^{-1}[/itex] in the usual sense of an inverse matrix, where it would have the property [itex]\textbf M \textbf M^{-1} = I[/itex], but perhaps there are other interpretations that I don't know about. Thanks!

Personally I interpret [itex](M_{ij})^{-1}[/itex] in the usual sense of an inverse matrix, where it would have the property [itex]\textbf M \textbf M^{-1} = I[/itex], but perhaps there are other interpretations that I don't know about. Thanks!