Gaussian Elimination & Row Echelon Form

[@TheOrganicChemistryTutor]

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His exapmles are ass though. He picks the easiest examples. He could give a harder one.

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@@master_baiter1873 well he’s not going to do ypur homework for you :D. I usually watch the video to learn the basic concepts and then go through the examples and exercises given in class. I then use his examples to boost my confidence the morning of the test. Seems stupid but its gotten me through Physics 5 so…

[@master_baiter1873]

@@droomahbroo9291 i mean he could give one hard example. He chose easy examples. Ones i can easily do in my head.

[@GoToMan]

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This guy explains it so well...my textbook explains it like a brick.

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Textbook is pretty much a piece of brick

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[@youssefbayoumi2694]

can i minus 2 rows ?? someone answer plz

[@PenandPaperScience]

@@youssefbayoumi2694 What exactly do you mean? You can indeed add a row with minus 2 times another row.

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[@taekwondotime]

This seems to be a common misunderstanding with matrices. *Echelon form is simply the final matrix after you've finished Gauss elimination* . (The matrix at 6:10.) It need only have 0's in the lower left-hand corner. *There is no requirement to have 1's along the main diagonal because they do not help in solving the problem* . They are simply wasted operations and are not done in practice. (Unless you want to do Gauss-Jordan elimination... which is also not used in practice.) People seem to confuse the two. You only need 1's on the main diagonal if you're prepping for Gauss-Jordan elimination which then transforms the numbers in the upper right corner of the matrix to 0's as well. If you're not doing Gauss-Jordan, then don't worry about having 1's. *Once you obtain the matrix @**6:10**, then we know that 4z = 8 and therefore z = 8/4 = 2* . From there we use back substitution to solve for the remaining variables. FYI: This is straight out of my math textbook if you don't believe me. *Source: Advanced Engineering Mathematics by Erwin Kreyszig*

[@taekwondotime]

TIP: The *scale* operation is your friend! As soon as you start getting into non-trivial matrices where the coefficients don't eliminate nicely, use the scale operation to get them up to a common value and then eliminate them. This helps you avoid ugly fractions and awful decimal numbers that have infinite precision. For example, consider the following system of equations: x + y - z = 9 8y + 6z = -6 -2x + 4y - 6z = 40 Without using the scale operation, you'll hit a wall by about step 3.

[@pablonapan4698]

Thanks

[@dami4271]

@@taekwondotime so whats the scale operation

[@WTHnada]

You should have explained that in the video I was so confused :(

[@alsudairy.k5647]

The one he did is called Reduced Row Echelon form.

[@mrguys2822]

Your videos are so much easier to understand than my lectures. Thank you for carrying me through university xD

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Y’all are learning this in uni? Bro I’m having a hard time understanding this and I’m a freshman in hs

[@higgsboson6274]

@@amreenaym786 just keep going, keep practicing. things will make sense eventually

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@@amreenaym786 its literally going to be easy learning this in university

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@@amreenaym786 you do repeat stuff to regain that familiarity, though I am learning this cause I have a maths module as part of my CS degree

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@@amreenaym786 in my country we don't learn this stuff in high-school, so I'm learning this for the first time in university

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One of the most humble educators that we're blessed with! A heartfelt Respect to your dedication and patience because a lot of us will survive much longer in math, or even feeling more motivated!! 🍭

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What I wonder is that his title is chemistry tutor😂😂😂. But teaching math more than math teachers😅😅😅😅

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يبني والله ال انت بتعمله ده عظمه فشخ ربنا يخليك لينا كلنا بنحبك والله كل ال في هندسة حلوان المطرية بيحبوك والله و بيشكروك على مجهودك معانا انت راجل محترم و ربنا هيكرمك و هيخلي عيالك يبقوا احسن ناس في الدنيا حبيبي يا دوك

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Felt so lost after my professor taught this. Came here for help as always. Was not disappointed. You're a good man. Thankyou

[@paulvanbrakel]

For the people that get confused at 10:50: 'R3 = R1-R3 is the same as 'R3 = -R3 + R1. He writes it in a different way, but you're still working on 3R in both cases

[@parthbhanushali9382]

thanks a ton mate

[@muhammedowais8541]

Thanks man now i think i understand.

[@sreekumarnair-rl2wo]

I don't understand it why it's R3=-R3+R1 we can directly go with R3=R3-R1 isn't it? Please help me with this

[@oimatesimro2088]

@@sreekumarnair-rl2wo i think its because you have to write the ending row (R3) at the end of your operation, he explained it in another matrix vid, i think its the row operation vid

[@ckaamuli8182]

@@oimatesimro2088 wouldn't R3 = -R1+R3 work then?

[@georgesadler7830]

MR. Organic Chemistry Tutor, this is an excellent introduction to the Gaussian Elimination Method and Row Echelon Form in classical Linear Algebra. Linear Algebra is very useful in different levels of mathematics.

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We have an exam tomorrow, including this topic. Hoping to pass it.

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I have one tomorrow too cri.

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@@neilialopez7446 ahahaha me too

[@tarylee357]

updates? how was it! im having one soon :)

[@PenandPaperScience]

Hope it went well. And for those students out there that want some more practice on Gaussian Elimination, I've made a video where I solve such exercises step-by-step. It might help some :) kzbin.info/www/bejne/pKq6oWypp52ofac

[@StevesUniverse]

UPDATE??

[@timothylittlefield]

You corrected both z=2 and -2 in the top row. Great job and thank you! I can solve variables using Gaussian elimination.

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Thank you for writing that he caught that! I was getting worried lol

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[@i.i]

the solution is INCORRECT!!!!!!!!!!!!!!!!!!

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Currently stuck myself.

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[@nightfox1416]

Great video! Only advice would be explain what you can do to simplify the matrix into row echelon form. For anyone watching, these are 1) You can swap the rows (you CANNOT swap the columns) 2) You can multiply the rows by any constant (in a similar way you would when solving simultaneous equations normally) except zero 3) you can add or subtract one row from the other (you see this often in this video)

[@inarvii8181]

I am a bit confused as to why in the second example, he did R1-R3. Why would it not be R3-R1 so that it is 2-2?

[@sonu1747]

@@inarvii8181 correct

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[@youssefbayoumi2694]

can i minus 2 rows ?? someone answer plz

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[@noelkuhomiemaihi5542]

My favourite online tutor.Just a little correction here l think you mean to say z=2

[@user-pf4cj7kb5e]

7:40 the solution of the first row in the upper left corner is -2, but on the upper right corner its 2. I think you had a typo EDIT; oop you corrected it. Nevermind alls great ^^

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found it easier than my tutor explaining, awesome

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This topic almost caught me of guard but where I come from my teachers call it simultaneous equations that we convert into matrix. I guess u learn smth new every day

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[@OninabResources]

Get more on Gaussian elimination method of solving systems of equations from this link kzbin.info/www/bejne/m4mrgKyqnryKd9k

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