To make element into zero 

For me the goal of pivot operations is to help to move from one feasible solution to another, until the optimal solution is reached.

The purpose of pivot operations is to assist in moving from one possible solution to another until the best answer is found.

It is to find the best answer by moving from one possible solution to another

to assist in moving from one possible solution to another until the best answer is found.

The goal of pivot operations is to change or adjust strategies base on new information to get a better results.

The purpose of pivot operations in linear programming is to gradually alter the fundamental variables in the answer to raise the objective function value and advance toward an ideal answer while keeping the problem feasible.

Pivot operations make ensuring that the restrictions are still met while simultaneously increasing the value of the goal function. In order to make sure that the requirements are still satisfied following the variable exchange, the outgoing variable is selected based on ratios.

The primary goal of pivot operations is to improve the value of the objective function. In a maximization problem, pivot operations aim to increase the objective function value, while in a minimization problem, they aim to decrease it.

to prevent large growth in the reduced matrices, which can wipe out the original data