What is Row Echelon Form?

In this simple video I will explain clearly what row echelon form (REF) actually is and show you a simple worked example of how you can tell if a matrix is in row echelon form and how to find the row echelon form of a matrix.

0:00 Start
0:05 Row Echelon Form Fundamentals
2:42 What's the Point of Row Echelon Form
3:55 Finding the Row Echelon Form of a Matrix Worked Example

[EduardoGutierrez-rrts]

This is so useful, I wish I didn't have to struggle so much with regular substitution method for solving systems of equations. I know it's essentially doing the same thing, but it's just clearer for me to visualize the problem like this.

[ThePianist-ytwo]

Thank you, I had difficulty in identifying it.

[gamingputer]

isnt the lead/pivot suppossed to be 1?

[rathan]

5:26 but the last row doesn't have all zeros. How could it satisfy echelon form

[Guru-kvdf]

Let xy/2 uxx - 4(x+y+z) uxy + xy/2 uyy =0 . In which region should y lie so that the pde Hyperbolic:
Option a) y> max (-1, -(1+x/1-x))
Option b) -(1+x/1-x))<y<-1
Option c)y>-1, x>-1
Option d) y=x+1 and x belongs to [-7/4, 11/4]

Sir please tell how to solve it

[Guru-kvdf]

Let xy/2 uxx - 4(x+y+z) uxy + xy/2 uyy =0 . In which region should y lie so that the pde Hyperbolic:
Option a) y> max (-1, -(1+x/1-x))
Option b) -(1+x/1-x))<y<-1
Option c)y>-1, x>-1
Option d) y=x+1 and x belongs to [-7/4, 11/4]

Sir please tell how to solve it