The purpose of row operations is to create a unit column for the entering variable while maintaining unit columns for the remaining basic variables.

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Quizplus · Accepted Answer

The purpose of row operations is indeed to create a unit column for the entering variable, which means that the coefficient for that variable becomes 1, while maintaining unit columns for the remaining basic variables, which means that the coefficients for those variables stay at 0 except for the row corresponding to the exiting variable, which becomes 1. This process allows us to transform a system of linear equations into an equivalent system that is easier to solve or analyze.

The Purpose of Row Operations Is to Create a Unit