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-rr4ts]

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.

[@aashitanarayanpur8602]

Thank you, this was helpful

[@user-ek6ob6wo9k]

Nice one ☝️

[@priyanshusharma7683]

Really helpful🎉

[@waelrachid219]

good shit mate👍. thanks.

[@hatsinze]

Thanks ❤🎉

[@Guru-kv2df]

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))-1
Option d) y=x+1 and x belongs to [-7/4,11/4]
Sir please tell how to solve it

[@Big__Youtuber]

❤❤❤❤❤❤ engineering

[@rathan7942]

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

[@akashbhullar]

It's not compulsory. IF is the keyword here. IF there is a zero row, it should be the last one.

[@Vibeland]

was just about making the same comment. 😄

[@b.harishraghavan887]

But in 2:04 the wrong way of REF we see the last row having a non zero element. Care to explain?

[@gamingputer]

isnt the lead/pivot suppossed to be 1?

[@YT.Shortssupervisor]

That makes it reduced row-echelon form

[@reyanalu9771]

Depends on some textbooks

[@noelmekonnen4521]

I was about to write the same comment

[@gamingputer]

@@noelmekonnen4521 i think in reduced row echelon it’s one

[@noelmekonnen4521]

okie tnx

[@Sentinelgaming518]

what grade do u learn this?

[@rohhanbhardwaj]

10

[@Guru-kv2df]

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))-1
Option d) y=x+1 and x belongs to [-7/4,11/4]
Sir please tell how to solve it