So thought I’d do a quick post today about the transpose – which is when you flip a matrix so the rows become columns and the columns, rows.  Simple enough concept, right?  So again, lets say that Jane is a painter in, say, 3 dimensions and a physics student in 6 dimensions (you knew this example was coming! Don’t lie!).  We could then present the possibility of some of her physics and some of her painter dimensions as crossing (indicated by a 1) using a matrix where the columns are painter dimensions and the rows are physics dimensions.

 

ab11

But its transpose would have columns as physics dimensions and the rows as painter dimensions, like this:

ab11t

 

So do any of these dimensions cross?  Well, now, if you wanna know, you know what to do.  But until next time, strike a transpose!  Yes, I am working on new material too.

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