Row Echelon Form of a Matrix

[@anitacheung83]

Property 1: All the leading entries in each of the rows of the matrix are 1
Property 2: If a column contains a leading entry then all entries below that leading entry are zero
Property 3: In any consecutive non-zero rows, the leading entry in the upper row occurs to the left of the leading entry in the lower row
Property 4: All rows which consists entirely of zeroes appear at the bottom of the matrix

[@psibarpsi]

So, pivots always have to be equal to 1? Following the property #1.

[@becomingabetterman1159]

What is a leading entry?

[@P.-bx2ng]

@@becomingabetterman1159 not really sure, but guess the leading entry should be the first nonzero number in each row(from left to right). and a weird thing, i feels like this guy mixed the properties of ref and rref, as i know from my prof's notes, only rref need to have the first entry be 1

[@krishnachowdhury7601]

save your valuable time.. watch in 1.50x.. thank me later

[@bruh-films504]

Thx so much

[@jeraldlibron6956]

you are right :-) I thank you

[@AdeolaPrince177]

Thanks bro))

[@khizraakhtar4921]

Aww thankieee.

[@tejaraghuvarma8374]

Thank you

[@YandereEnthusiast]

Just heads up, the first property only applies if you're doing a reduced row echelon form.

[@dawaiira4512]

Exactly, he should’ve said all leading entries are non zero

[@rafiafuseini8833]

Oops I was lost 😂thanks for the heads up

[@rafiafuseini8833]

Oops I was lost 😂thanks for the heads up

[@Saralikesbirbs]

This is the most fun tutorial on this ive ever watched, sir you make it fun and educational at the same time... loved it!

[@Iffxyz]

Very nice explanation
understood everything
thank you so much!

[@zaidkatadka4340]

Your explanation save time and direct to our brain

[@lipikaghosh7410]

Good explanation.
From India 🇮🇳

[@kilansgames556]

Isn't there another property stating that the zeros in each row should increase as we go down?

[@edenkefale7129]

Exactly

[@redietassefa1120]

I had the same question but the rule number 3 really sums it up quite well

[@MohsinAhmad-yo2xu]

I just want to say .. thank u sir..for making it simple

[@kms8320]

time-saving tutorial thanks👏👍

[@RurinaDiary]

That's great video! it explains me really well.. I have hard time to understand the theory concept of the REF but this video explains the theory very clear. thank you so much for such a great video!

[@felixraj973]

Good explanation sir. On a side note has anyone told you that you sound like Mad Eye Moody from Harry Potter?

[@harijain1846]

lol
lies
moody sounds way different

[@sayanmbhandula664]

it's because both are irish accents

[@shrijeet.gaikwad]

Nah..he doesn't sound like that.. watch goblet of fire again'

[@amandawang8574]

sounds more like seamus finnigan

[@AliKhorshidi]

Thank you Sir! 🌸

[@johnedome7536]

Great tutorial,I am now okey with the topic

[@PHOEBEE69]

GOD BLESS YOU

[@vindhyahegde2533]

Really good

[@maliknauman3566]

Exceptionally great explanation.

[@eliphan8571]

thank you for the video

[@spearius9059]

Excellent video. Thank you so much.

[@SahinScienceAcademy]

NICE CLASS DELIVERED

[@ElifArslan-l9g]

Thank you

[@maximCS2002]

Thank you,kind sir!

[@rythmicharmony]

Thanks...good explanation 👌

[@gopishankar4434]

Sir,video was good....but the leading entries should be non zero for row echelon form and one for reduced row echelon form.And there is another property that row with all elements zero should be assigned at the bottom.But you didn't mention it.

[@itsNell]

7:39

[@eliasbekele9156]

that is right

[@eliasbekele9156]

that is right

[@yashasvibajpai4702]

very good explanation!!!

[@rexrender4095]

It felt like he was reading it off something

[@SHADOWLEGENDDRAWS]

thx a lot

[@slurpslurp7663]

Isn't property 3 and 4 mere consequences of the 2nd property?

[@dinaelmelhem4627]

Thank you so much!

[@hementhj9904]

Great explanation sir😇

[@gopalprasadagarwal8389]

Is property 4 is very mandatory??
Is it necessary that every Echelon form of matrix should contain prop 4 too??

[@kilansgames556]

Nope, actually if there's a zero row it should be at the bottom, keyword being "IF".

[@Jiglo]

I'm pretty sure the fourth property doesn't apply to REF.

[@AnandSharma-lt8wq]

So accurate.

[@victorfrancis1378]

I was expecting solved examples

[@maitripatel8918]

Thanks sir it was very helpful..

[@koechphilemon7926]

Thank you

[@ameermortaza5373]

for a matrix to be row echelon do we need to satisfy all of these 4 properties?

[@YandereEnthusiast]

the first property only applies if you're doing a reduced row echelon form.

[@Kartal-tp8qq]

Is there a special name for property 4?

[@stefanijacunska]

It was okay, but how can you mix up the 1st rule. I was so confused when I saw in other videos that they had different leading entries, not 1. Be more careful next time. It is non-zero entries, not only 1 for REF.

[@bhabeshmali3640]

Thanks sir

[@bhavikn.k8843]

The first property is wrong. Leading entries have to be non zeros not necessarily 1.

[@ganeshjalla7092]

Thank you sir

[@Tirma_003]

All rows which consists entirely of zeroes appear at the bottom of the Matrix

[@alexcosta15178]

If the last row can have all zeros, doesn't that violate property 1 that says all the leading entries in each of the rows of the matrix are 1???

[@allittakesisonebadday4957]

No, it does not violate property 1 because a leading entry, is by definition, a non-zero entry. Hence, any row that contains all zero entries, does not have a leading entry to begin with, and must be the last row of the matrix.

[@Atman77]

Thankyou

[@amankumarsingh6242]

Very helpful indeed.

[@ndagireangel5923]

Can u please put 3 instead of 1in the first entry

[@falcon5860]

We have a matrix Eeeeeeee! 🐑

[@rhamby3470]

didnt really talk about manipulating it

[@rudesback5013]

Property 3!

[@sehunasehunie1767]

Sir,in 5.50 according to property3, it says the value should be equal to left but for column3, the value is 5 which is not equal to 1. why did u jump to column 2 which value is 1?

[@x1x2x125]

Cuz its not leading entry

[@DaniyalKhan-pz1zc]

Because he connect every element to first leading entry from left side

[@jansi_2023]

Better 😘

[@influential7693]

4:53 dude whats with the 5 in the third column??

[@jatinvalyat800]

Row 2 mein 1 ke neeche 0 nhi aana chalice shahyad

[@itachi4834]

Can I get a heart ❤️ ?

[@miktheo328]

what a confused mess. just demonstrate a matrix that actually satisfies the 4 properties

[@tomoyaokazaki9915]

It should be explained individually not by mashing all 4 properties in one matrix then it would be mess in your head

[@stevenjosh9528]

your example is wrong

[@junkevidence]

How? Give us time stamp and correction.

[@suganthisheela6494]

@@junkevidence yeah

[@ihsanelahi1273]

Thnks so much sir

[@andrewj.3101]

This audio is so incredibly blaring and annoying

[@gooseberry_disliker]

thank you