pivot = leading entry



My Lin Alg prof uses "pivot column" and "leading entry column"
interchangeably all the time. She even says "pivot, or leading entry
if you like" vise versa a lot.

The text we use doesn't really explain pivots, and when it did lightly
touch on it, it was explained as a number used to zap zeros in all the
entries below it in the column. If that is the case, then the pivot
entries should be a subset (sometimes proper subset) of the set of
leading entries.

Am I right? Because sometimes when doing the pivotting, other entries
in other columns are zapped to zero, creating a leading entry
automatically with zeros below it (thus not needing to use this leading
entry at any time for pivotting)

Is my reasoning correct? Thanks for the help.

.



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