Is the statement "Elementary row operations on an augmented matrix never change the solution set of the associated linear system" true or false? Explain.

True

Step-by-step explanation:

A matrix is a rectangular array in which elements are arranged in rows and columns.

An augmented matrix is a matrix in which same row operations are performed on both the sides of equal signs in the given linear system of equations.

Elementary row operations are the operations like multiplication or division which are performed in the original matrix to get the elementary matrix.

True, elementary row operations on an augmented matrix never change the solution set of the associated linear system as the elementary row operations replace a linear system with an equivalent linear system.