Elementary Linear Algebra: Echelon Form of a Matrix, Part 1

In this video we define the echelon form and reduced echelon form of a matrix. This is the first video in a 3-part series.

[HamblinMath]

I have updated these videos since the original upload in 2012.

[Trackman]

Absolutely clear explanation of the concept! Echelon picture instantly makes whole thing even clearer! Thank you!

[viva_la_nature]

This is so much better than anything else, spoken in a common understandable language

[RakhiMahbuba]

It was to the point, concise and neatly cleared the concept. Thanks a lot!

[GochiCity]

professor bullshitting for days but learned everything in 5 minutes.

[apollotran]

You’re the best in explanation of the (reduced) row-echelon form of matrix! It’s very simple and clear to understand!

[athegreat]

Thank you so much. I watched a lot of videos but you explained the best.
Others just directly went to solving the problem but you showed us the rules along with animation to explain what makes it echelon and reduced echelon.
So thank you.

[KaziNazmulYT]

I have been trying to understand the echelon form of matrix since yesterday. Though my textbook didn't help me a lot, your video does. Now I'm going to watch the updated videos by you. Thanks.

[nicholeneswart]

Thank you soo much for making this video! I have been completely lost and now finally the penny has droppped! I will be sending this on to every student i come across struggling with this!

[sarahyazman]

omg love this video!!!! i took around 1 hour to understand, but this one I managed to understand only for 5 minutes! Thankyouuu

[misterrandompro]

In my college i struggled to understand this concept
But u made it so easy to understand
Thanks sir for ur valueable videos

[campusduedquora]

Great work of Neatly explained... Thnc

[lightyagami]

Sir your videos are great, I keep coming back. Keep uploading

[Manoj-myph]

Many People unknowingly build lot of hype ..but you just made it as it is and simple!

[mustafizurrahman]

Simply awesome mesmerising. Thank you very much for such lucid explanation

[abdullahshahid]

Great video ! He has used such examples which do not create any confusions !

[rishi]

Great explanation with example
I read it before teaching in my college.

[shahzaibhassan]

Thanks a lot sir, I appreciate it.
Your way of teaching is very good and clear.

[rosekandel]

THANK YOU SO MUCH I NORMALLY DONT COMMENT ON YT VIDEOS BUT THIS REALLLY HELPED OUT ALOT THANKYOUUU

[physicsboy]

Kindly, make the video lecture series on Partial Differential equations and Ordinary Differential equations too sir!