True or False ? For a given linear system, we will always end up with the exact same echelon matrix no matter the choices of row operations.
If true, justify your answer. If false, provide a counterexample.

I am guessing false because you can end up with a row with all 0's

Question

True or False ? For a given linear system, we will always end up with the exact same echelon matrix no matter the choices of row operations.
If true, justify your answer. If false, provide a counterexample.

I am guessing false because you can end up with a row with all 0's

kevin · Answer

Can you give an example why you guess it's false?

venomblast · Answer

I don't know the answer though.

kevin · Answer

Sorry, I don't know too

venomblast · Answer

I need help!!

bobo-i-bo · Answer

The answer is here: https://en.wikipedia.org/wiki/Row_echelon_form

venomblast · Answer

that does not answer my question

bobo-i-bo · Answer

That does not answer your question, but i have enabled you to find the answer. The thing you're searching for, is whether a row echelon form is  ${\bf unique}$.