What order are elements processed in a Cayley table?

If I have an element a in my row and b in my column of a Cayley table, do I evaluate

a o b

or

b o a

??
purplesoupAsked:
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PlantwizConnect With a Mentor Commented:
row than column, but you fill the diagonial in first.

but what is your identity element? Or which element is the one you can have as an inverse of itself in your example?  As that element is filled in on the grid diagonal first than the rest can be solved.
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PlantwizCommented:
Row than column

    a o b or = ab
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purplesoupAuthor Commented:
Actually I am assuming you mean row *then* column, wouldn't that actually be

b o a ?
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