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

[@HamblinMath]

I have updated these videos since the original upload in 2012.
Part 1: th-cam.com/video/x1CEVwn7Gnw/w-d-xo.html
Part 2: th-cam.com/video/eXL8m865QeM/w-d-xo.html
Part 3: th-cam.com/video/72ysuwtYA0c/w-d-xo.html

[@Trackman2007]

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

[@RakhiMahbuba]

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

[@viva_la_nature]

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

[@apollotran146]

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

[@athegreat88]

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.

[@sarahyazman1822]

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

[@nicholeneswart8686]

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!

[@GochiCity]

professor bullshitting for days but learned everything in 5 minutes.

[@edenkefale7129]

I know right

[@arpitac9481]

U r ryt

[@knowtechwithaman7254]

Very true

[@misterrandompro6181]

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

[@rkhanvids135]

BEST EVER VIDEO I FIND AFTER 2 HOURS :D

[@lightyagami1002]

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

[@campusduedquora1504]

Great work of simplicity...... Neatly explained... Thnc

[@abdullahshahid6637]

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

[@coolsachin2737]

Thanks a lot! You helped me overcome my doubts about the concept in simplest way!

[@Manoj-my6ph]

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

[@ashishmehta2198]

great video sir. the explanation is precise and upto d mark. thank u so much

[@rosekandel745]

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

[@shahzaibhassan6504]

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

[@mustafizurrahman5699]

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

[@alzz8253]

great explanation! straight to the points.

[@Kachana-s69]

Best explanation ever🙌

[@SuperGrey95]

I finally got it !! Thank you so much you're the best !!!

[@ahmedsyedsaqalain3576]

Thank you so much! This video helped me a lot! Love from Bangladesh!!

[@ellainerhekasareno5162]

This video helped me a lot. Thanks!

[@dayfrog9759]

If rules 1 and 2 are met then would rule 3 not automatically be met?

[@rishi6393]

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

[@physicsboy3108]

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

[@arpitac9481]

U r awesome ,,,, superb explained

[@thisiscoral]

I hope you find a better mic soon. Audio kinda hurts my ears

[@HamblinMath]

This video is 6 years old. You can find an updated version here: th-cam.com/video/x1CEVwn7Gnw/w-d-xo.html

[@arpitac9481]

Superb,,my all doubt r cleared 👍

[@hummayyarukh6999]

Thanks a million sir this video really clear my confusion

[@Mulkek]

Thanks, and it's so easy & simple!

[@eduvids523]

Amazing! Thank you so much Sir, its cleared 100%

[@navneetkumarsabre7275]

what is the need to reduce the matrix in reduced row echelon form>>>(leading element 1).while calculating rank did row echelon and reduced echelon form give different result???

[@kartikkumar-xh1if]

good video,straight to the point

[@Timkaasjager]

Thx dude, great concise explanation!

[@janicemak2725]

Great explanation, thank you so much
Definition is clear now

[@ahmedhussam9259]

Thanks man it's really clear to understand but I need these slides which you've used here in video

[@techfit1287]

Good Description James Hamblin

[@mannp31]

This explanation is far better than my professor's explanation

[@Karim-ud9kl]

We can also say that a reduced row echeleon form must satisfies just two conditions:
the main diagonal of the matrix must consists of 0 or 1 and all the elements under the main diagonal must equal to 0.

[@HamblinMath]

Actually that's not correct. For example this matrix:
1 2 3
0 0 1
0 0 1
Satisfies your condition but is not in echelon form.

[@gameisfun7851]

WoW, Great explanation.

[@lostkafka2416]

hey ,can we mix up both rows and column operations in the same problem for finding the inverse???

[@HamblinMath]

"Column operations" aren't really a thing that we can do. Remember that each row of your matrix represents an equation, so row operations represent operations that we can do to equations: adding two equations together, multiplying both sides of an equation by a constant, etc.

[@lostkafka2416]

but in case of finding rank by reducing a given matrix to normal form of a matrix you have to mix up both column operation and row operation right?? why that doesn't make any difference to equations

[@lostkafka2416]

and i forgot to mention thank you very much for your effort to make this video :)

[@HamblinMath]

Your instructor might disagree with me, but I would recommend that you never use column operations on a matrix. If you're interested in the column space of a matrix A, this is the same as the row space of A-transpose. I would transpose the matrix and do the normal row operations.

[@snehuuhhh]

That really helped me so much! Thanks a lot!

[@reemalghamdi7044]

يشيخ روح الله يسعدك

[@Sunsetata]

This video is really good

[@akumarravi17]

sir it is compulsory to have zero row in echelon form of a matrix

[@HamblinMath]

No. In fact, most matrices you will typically work with won't have any rows of zeroes. The only rule is that *if* you have a row of zeroes, it must be below any other rows for the matrix to be in echelon form.

[@peacennaji7545]

I finally got the concept. Thank you Sir.

[@fa911662]

Thank you very muche to take your time to explain that !

[@chawza8402]

this video is a gift form the god that straight from heaven.

[@asmamada209]

Men ur awsome I understood everything thanks so much !!!

[@seprata]

that's real simple and easy to follow along , thank you

[@princeofdisney230]

Hahahahah so interesting,,,,,,,, from now on this will be my Chanel for learning math

[@terencewright2223]

Thank you for your a great video.

[@reallifesolving9883]

that's helped me lots. Thank you.

[@jiahuawu14]

thanks! you explains it so well!

[@lightyagami1002]

Marvelous sir

[@sumitakhilverma6035]

this video i found as best for this topic

[@ym3816]

Great Video! I can't thank you enough

[@chandraswaroop2061]

sir love from India

[@harneetsingh07]

very helpful tutorial! thanks

[@betulowski]

thank you for the video

[@bhaskarsaha4057]

thank you sir for your simplification .

[@turassharif2426]

thanks for the clear concept

[@user-pi2nl6iu2n]

Thank you for clearing things up for me.

[@arijitbagchi2197]

thanx a lot...it really helped..awesome!

[@riyasengar06]

maths so important sub in our life and carrier also without maths we have nothing information about reasing

[@sams_3d_stuff]

Amazing ,thanks sir....

[@madhavanand756]

Its perfect video really

[@cuewarstaner1894]

Oh thanks man, this video helps me a lot to understand the Echelon thing~!@#

[@degaregetezzera733]

Nice one

[@channelnotfound2882]

dang is that mic the himilayas cause it was peakin!!

[@HamblinMath]

You have successfully dunked on a video that I made 10 years ago. Good job!

[@channelnotfound2882]

@@HamblinMath haha no man I wasn’t hating at all. I actually rlly loved the video and it rlly helped me prepare for my test. I was just making a small joke. I’m sorry if it was hurtful it wasn’t meant to be.

[@soungji2529]

Thank you 🙏

[@daynight4233]

Thank You❤️

[@maha_13]

great video

[@codingnaturetech790]

Very good sir

[@ataarpac945]

My professor needs to watch this one. Omg he fucked up my 5 hours instead of explaining everything in 5 minutes. God damn it

[@ujolmaharjan2010]

great video thanks

[@FurkanYalcn-iv1rn]

THANK YOU SO MUCH

[@yup3961]

Thank you !

[@ТерористТалибан]

Thank you so much!

[@azeekhan616]

thank u so much Sir

[@rahulshrivastava8590]

Crystal Clear

[@UwU-dx5hu]

thank you sir

[@anikgreatderula1082]

thank you so much

[@rkm_giyuu]

Why the hell do i have to study this in 1 year even tho im not going to benefir off from it

[@antoniopineda6425]

Two thumbs up!!

[@mustafakarimi8561]

thank you man

[@princerobiul2953]

thank you

[@pardeepnegi9086]

in echelon form rule 3 is reduntant

[@subscriberswithoutanyvid-nm7qo]

Thank u sir

[@Hans_Magnusson]

Sorry to disappoint you
But I have implemented matrix calculations in Java!
I know about that already

[@HamblinMath]

I'm not sure why that would disappoint me, but good job I guess?

[@عبدهاحمد-م1ط]

thank you very much,Allah guide you to the paradise.

[@Nkduy11]

Perfect

[@xreed8]

The audio is horrible

[@HamblinMath]

This is one of my older videos. You may prefer this updated version, which has much-improved audio: th-cam.com/video/x1CEVwn7Gnw/w-d-xo.html

[@fjdjzfhrsut8063]

I thought it was pronounced echelon as in "echo-lawn"

[@HamblinMath]

Nope: www.dictionary.com/browse/echelon

[@tanishql1441]

great

[@21Screen]

You sound very young