Question

Elementary row operations on an augmented matrix never change the the solution set of the associated linear system. True or False?

Answer 1

Answer:

True

Explanation:

When performing an elementary row operation to an augmented matrix, this is the same as algebraically manipulating the corresponding linear system to obtain a linear system which has the same solutions

Answer 2

The given statement is true.

Elementary row operations

1. They are simple operations that allow us to transform a system of linear equations into an equivalent system, that is, into a new system of equations having the same solutions as the original system.
2. Elementary row operations are used in Gaussian elimination to reduce a matrix to row echelon form.
3. Elementary row operations on an augmented matrix never change the the solution set of the associated linear system.

Thus, we can say that the given statement is true.

Learn more:

brainly.com/question/14611111