# Row operations correspond to operations on underlying systems

The three elementary row operations come from a very natural place - they are the

matrix equivalent of the same three operations allowed when reducing and solving a system of equations.

See attached file for full problem description.

Clearly explain, matrix by matrix, how the row operations correspond to operations on the underlying system of equations.

Â© BrainMass Inc. brainmass.com March 4, 2021, 7:41 pm ad1c9bdddfhttps://brainmass.com/math/linear-algebra/row-operations-correspond-operations-underlying-systems-116546

#### Solution Preview

Please see the attached file.

q1. The three elementary row operations come from a very natural place - they are the

matrix equivalent of the same three operations allowed when reducing and solving a system of equations.

Look at the example in the attached PDF file. Clearly explain, matrix by matrix, how the row operations correspond to operations on the underlying system of equations.

Example 4: Use Gaussian elimination and the method of backward substitution to solve the ...

#### Solution Summary

The expert examines row operations which correspond to operations on underlying systems. A matrix by matrix row operations are explained.