Row Reducing a Matrix - Systems of Linear Equations - Part 2

[@carlosaavedra9862]

"Are the videos from 2006 really helping?" Me:"Yeah kinda"

[@patrickjmt]

math videos don't need to be flashy :)

[@McBobtheruggaman]

@@patrickjmt But former ACC professor mathematical KZbin celebrities do :P

[@juanvera94]

i'm confident you are the most loved person on youtube

[@patrickjmt]

I am 100% confident that you are not correct, but I appreciate your sentiment :)

[@soysaucedaddy7520]

Well, to me, you are the most loved person on KZbin.

[@valor36az]

It's true.

[@TheCireMC]

In the year 2020+ people will still be loving his videos!

[@matildajurado3967]

TheCireMC I mean it’s almost 2019 now and I’m still definitely watching his vids

[@alpha-king3808]

It's 2019 and I'm still enjoying his videos

[@terribletheo8401]

Prediction was true

[@peytonthibodeaux645]

correct

[@nathanleuck6708]

Still awesome! Huge help!

[@hazaler]

didnt learn anything in 3 hours but this 15 minutes made everything clear! thanks so much!

[@patrickjmt]

sweet! i am glad that you now understand! give it all a bit of time, and you can understand anything

[@patrickjmt]

@HomebrewGuru i am happy to help, but the rest of your comments are a bit silly, angry, naive , or all of the above. just because you do not understand does not mean someone is being 'condescending'. if this is your attitude about everything that confuses you, you have a lot of growing up to do still. try not to generalize a whole category of people next time. this is what racists, bigots, and political nut-jobs do. it is the reason half the world is screwed up and everyone hates each other.

[@sabalparajuli9244]

patrickJMT well said brother👏👏👏👏👏👏

[@Defiring]

Thank god the world has evolved for the better since 2012... Or has it?

[@thePartTimeGeek]

You sir are the reason why I am still in college.

[@quinten.s6276]

+thePartTimeGeek i can second that !!!

[@asemnafiz]

Every time I feel like I'm starting to hate maths, one of Patrick's videos make me love it again.

[@grantt5811]

KZbin > professor

[@patrickjmt]

@Rahath4 you are very welcome!

[@adambernard5444]

You are the absolute best bro. You just saved me on for my college exams! Keep doing what you're doing, because you help make people feel a whole lot smarter and make them feel much better about themselves when they finally get problems right on tests! God bless you dude!

[@mex301]

Great job, keep it up... didnt get it at all when my professor at my $33,500.00 school taught it to us... but this video sure made since of it...

[@patrickjmt]

@stridexr glad to help. this stuff is painful to do by hand if you have a system that is at all large

[@eliminator3]

@patrickJMT I was taught to get your REL form before starting your RREL form. These two videos proves to me that you can do RREL form from the start... that removes a LOT of extra work in the future, thank you for proving a shortcut to get the right answer. I know my professor simply wanted everyone to understand the format before continuing on, but this way, I can still do less work and still show all of my work, great vid!

[@saleyna319]

WOW this video was uploaded when i was 6 & didn’t even know a thing about maths. Now i’m 20 and im here. It’s crazy how fast time passes. And i still DONT KNOW what am i supposed to do with matrices in department of Psychology 🤠🤠🙄 final exam is tomorrow. god wont let me die.

[@yadth]

I am in the home stretch in my college algebra class. We are currently doing matrices, determinants and inverse. This is what my final will be on. My tutor has showed me how to put the problems in my calculator, however I still have to show some work. Your video has helped me get more of an understanding. It is still confusing, and yes easy to get mixed up. Thanks!!!

[@yousefflahoud]

Yeah seriously it helps so much to have someone this clear on rewind and pause and everything - its good stuff!

[@annehuneycutt4754]

Your videos have saved my life this semester! I'm an Industrial Engineering student at TAMU-Commerce in my Junior year and you explain things much better than most of my Professors! Keep it up!

[@trice8865]

so this is me in uni 13 years after this video was posted and gosh its been really helpful, first time doing math and its been really hectic but following these two videos step by step has helped me a lot. I've literally been at it all day and finally understand. Thank you!

[@1mbilalk]

You the best math teacher , buddy , tutor what ever you say .. but your words really embeds into brain and helps a lot in exams or quizzes thanks a lot patrickJMT

[@patrickjmt]

@Thevick94 well, it gets as complicated as one wants. glad my vid helped though!

[@rakista4hire]

ow good thing you're always online!! mathematics is really hard.. especially this matrix algebra.. but you're integration tutorials really helped me in integral.. thanx a lot

[@Isomnophilia]

You voice and words and examples makes this a pleasure to watch, gonna check out the rest of ur vids!

[@varadakhot]

THAAAAANNNKK YOOUU! I got a bad prof for linear Algebra for first year engg.. Think I'll probably be visiting your site a lot over the next 3 months. In fact, your videos helped me lot through high school calculus too. I respect you a lot as a teacher. Thanks again!

[@Southbeachsunrise]

really helpful for me to study before the quiz tmr, in my class the professor was explaining so fast. Thanks a lot!

[@patrickjmt]

if you can do this on this size matrix, you can do it on one twenty times the size. the process is 100% exactly the same.

[@leila_rshdn]

15 years later and still an awesome video. Thank you for this!

[@patrickjmt]

@Sigut100 i have no idea what that means!

[@naseemgharibi]

in 2008 and still much better than new videos of other people , thank you

[@patrickjmt]

@varadakhot glad that i have been able to help you : )

[@thecardtrickstudent3870]

One question, If ure following the right steps to go further do u still need to check if the already arranged numbers are affected by the later operation? For example: (1 0 11:24) (0 1 -5: -9) (0 0 1: 2 ) Operations: -11R3 +R1-> R1. : 5R3. +R2 -> R2. In the above eg, columns 1&2 are filled with the right numbers already. SO, while doing the operations above for the fulfillment of column3, is it necessarily to check if numbers on columns 2&3 are changed or not. In your examples, u check that but they turn out to be unchanged. Is it always like that or its really necessary to check that.

[@SrFabio]

Man this is great, it's far better than regular class explanations lol keep it going ;)

[@Mexico013]

You're a lifesaver, I study your videos before every quiz\test

[@SethusDA]

Thanks for your videos Patrick, they helped a lot. Simple, easy to understand and educational. Cheers mate.

[@crunchiecat]

thank you very much, you've saved lives.

[@johnt2092]

15x15 holy

[@toddhaug643]

This video is nearly eight years old, but is saving me trying to do my linear algebra at home! Thanks PatrickJMT!

[@invisiblebutterfly6]

This is the first time I've been able to sit through a lesson on this without falling off my chair. Thanks for making a video that explains it so clearly! :D BTW, how long did it take you to hand multiply 15x15 matrices ? :)

[@mitmfan]

I hope you don't mind me answering it, since I know the answer. The integer you divide by (in the example he provided, -28) simply drops out. For example, if you have 7x = 35, you divide by 7 on both sides of the eqaual signs. The 7 you divided by simply drops out leaving you with x = 5. The line he draws is like the matrix version of an equals sign. Just like the 7 in the equation dropped out, the -28 in the matrix dropped out. I hope that made sense to you.

[@Jabbeke762]

Nice vid! Keep posting! I love your way of teaching. Everything is nice explained. Respect Grtz from Belgium

[@steeverthebest]

dude you deserve billion subscribers , you are the best

[@matthewsikora4391]

thank You so much. i was studying matrices for couple of hours and couldnt find the way to make it ieasy ..your video helped me in 2 minutes

[@malaak1h]

tho it's an old vid.. yet still most understandable one i've watched .. thank you

[@Sajiv9]

This is exactly what my prof is teaching. Thanks for the help. Are you a U of T student?

[@rottenronie]

brilliant, this video was more informative and helpful than 2 90 minute lectures.

[@HomebrewGuru]

@patrickJMT I mean, seriously, I learned the same thing in elementary school pre-algebra with systems of equations and how to find solutions to them and it was explained in less than two pages (or 10 minutes in your video) or explained briefly by the teacher on the chalkboard, why should explaining a shorthand notation take 30 pages? You gave a clear purpose and explained the reason behind each step clearly so that I can understand the concepts for what they are without unnecessary pet names.

[@vakaman1]

Hey Patrick, Once again, thanks for the great and very helpful video. I have a question though: How do you solve a system of linear equations, when some of the rows have less variables, for example: 5x+y+3z+a=1 x+y+2z-2a=-1 x+y +2a=1 3x-y+z =4 So you see 1st and 2nd row have 4 variables, but 3rd and 4th have 3... How do you solve? Thanks a lot, help will be highly appreciated! :)

[@patrickjmt]

thanks!

[@mardi8000]

thanks man. really helped me while reviewing for my DFQ final. didn't know how to solve for eigenvectors lol. saved me LOL. keep up the great work!!

[@doirchan278]

thanks Patrick. You have saved my life.

[@malaykasoufi6297]

patrick you're a life saver. my exam is tomorrow and you just saved my ass from failing

[@theBreninator]

thank you for the video, been struggling with these for weeks. Hopefully I can pass the quiz tomorrow!

[@patrickjmt]

@TheFallenH3ro good luck on the exam!

[@hawx786]

thank you again ur always a great help. and i have u to thank for my whole first year of uni for maths :) and i have to say ur great at teaching and make it pretty easy to understand these concepts.

[@wawaT100]

my prof provided examples without indication of Rows #s, I was lost, thanks so much for such video, it really helped a lot...

[@mindbubble27]

saved by youtube. ah, thank you so much!! you're a great teacher. As opposed to certain overly complicated text books. :D

[@Lucerozeus]

i was either never taught this or i wasn't paying attention... and yeah, thanks. i learned something new today. and since you are asking; i do have a question! i'm studying for a placement test. it's gonna be my first year of college and i don't wanna be stuck in math for beginners. i'm not a pro but i can use a little bit of advice on what to study

[@TopazLyric]

Awesome video!!!! This is really helpful. Been struggle with these. You taught well despite the time limit. Lol

[@BradCarl]

Great tutorial! You're saving my ass on an exam tomorrow (since our professor didn't explain this very well). Thanks a bunch!

[@williamunsinn873]

Patrick, Thanks for the information, it has really helped. I have a 4x3 matrix and I was just wondering how to start it. Since the problem has four rows how do I select a diagonal set for my 1's. Would I select more that one diagonal line to work the problem?

[@HomebrewGuru]

You gave a clear purpose and explained the reason behind each step clearly so that I can understand the concepts for what they are. Once I understand the concept and can use it easily then maybe learning shorthanded conventions or pet names for the concepts might save time, but throwing pet names and steps without a clear understanding of where things are going and why (not skipping steps and expecting students to catch it) makes material difficult to learn and master while encouraging--

[@patrickjmt]

@Mi28N ha, that is why i love the internet

[@HomebrewGuru]

Thanks man you explained in 10 minutes a useful technique (a shortened notation for representing linear equations for manipulation) in what my book attempted to explain in literally 30 pages. There is a ton of balloonery/puffery in "terms" and useless jargon and conventions no doubt created by condescending mathematicians trying to make their stigma on society. The book includes steps and descriptions without giving any goal so I get lost trying to figure out where they're going with it

[@BusinessRaptor520]

My exam is this saturday, and it's a daunting three hours long. Should be fantastic.

[@DJInfinity24]

awesome!! i thought i knew it already, but i had some confusion...this video sure helped...keep it up!

[@whitehairedbadass3475]

Your saving lives here man and thankyou for saving mine.

[@gian2g]

This is cool man! Is this from Linear Algebra?

[@raachaell]

Yeah thanks! I know where I was getting confused now - you can use row reduction to partially reduce a particularly large matrix to make the dterminant easier to obtain, then you need to keep the integer for muliplication at the end. Thanks :-)

[@masterchief9064]

awesome vid, really helped me a lot. about changing the order of the rows, are you allowed to change the order of the rows if you are trying to find the inverse of a matrix? i mean if the left hand side were the coefficients of x, y, z and the right hand side were the identity and you had to get the left hand side to become the identity? i know i probably didnt phrase that question very well, but hopefully you get what im trying to say. :D

[@GearGOD]

Thanks a lot for taking the time to explain this stuff on video. Very helpful.

[@chrislam1341]

would you please tell me if the question is finding a unknown coefficient and concluding that if it would have unique solution, infinity solution or no solution?

[@stridexr]

Thanks, had to write a computer program that would solve for x number of variables. This explained everything, you the man :))

[@megakiller999]

Thank you so much for these videos! just one question; if you get a large matrix with variables that aren't in a neat alphabetic pattern like X Y Z, do the answers in the last column correspond to the order in which the variables appear in the equation? If my wording is strange i could give an example.

[@patrickjmt]

i hope it was not all that bad!

[@liukolun]

OMG you made it so easy to understand!!! I hope I get a teacher like you lol.

[@patrickjmt]

yes, that is another name for this procedure i believe!

[@Jason1087870]

My professor did a good job, but this video definitely helped reinforce the topic. Thank you.

[@TheFallenH3ro]

Thanks I really appreciate the video I was confused as hell at first lol....you helped a lot and I got an exam 2morrow night

[@kennethhowell5291]

You make a review of linear equations easy to recall. Thank you!

[@JoshuaWcoates]

thanks for making these videos patrick! your explanations make it seems so easy really... too bad my algebra professor can't explain it like this

[@patrickjmt]

@BABYLiNxP glad i could help, come back any time ; )

[@TheFutureIsRightHere]

Could you please make a tutorial on how to do it on a graphing calculator?

[@allrounder2367]

My question so how will you know what you have to do in order to reduced the matrix? Like how do you know by which number you have to multiply row 1 and then add row 2?

[@raachaell]

wow 15x15 would be rather time consuming! When you divide a row by an integer, do you bring that number infront of the matrix so that it is multiplied be it or something? I don't know why I think this but I'm confused now....

[@machanzsengelua142]

clearly understand the concept very clear explaination .

[@bholachaudhary7930]

Sir, i wanna where to start, where to end? Some kinda trick or pattern to go

[@balochan1]

When switching rows sign changes, right? but u havnt shown that!

[@crystalzzz6461]

Hey.. is both part of this video applies the 3 rules ? because when i read my textbook i cant understand the 3 rules stated. and when i watched this video its so simple @@ so i hope its not only applying 2/3 rules..

[@RbtV92]

I did it in 18 matrix edits. I didnt do it the way you did it Pat, I just checked that we had the same answer in this video. How many steps did it take you?

[@patrickjmt]

happy to help : )

[@arfanshakib7590]

thanks for solving our problems, we love you a lot.

[@PonyBoyJones]

@patrickJMT i just want to know what did you major in and what you do for a living. b/c i'm a pre-engineering major in my second year and i'm taking linear algebra as of now and i have no idea what i want to do after i finish. im smart but lazy at the same time... any solution? (i know you're not a guidance counselor lol)

[@YouInDavid]

If this channel was nonexistent, me passing my math classes would be nonexistent

[@hollowslayer95]

i love math so much i got kinda desperate for math problems since im taking a year off so im relearning everything i learned two years ago statistics was too easy for me.

[@ufo8mykat]

Excellent verbal instruction, thanks for demystifying. :)

[@OTorehnai]

hey patrick, i tried a different method using elimination by parts and i get different answers and substituted it to the equation and its correct! is that also possible? why is it different from you're answer? using row reducing matrix? x y z (-31,16,5) i thought it will be the same?? answer asap plss.. :D

[@mindbubble27]

@satti199 sorry, i don't know if this will still help you, but he used the gauss-jordan method.

[@WasifAli-zy7yk]

hi , how can I confirm my answer if my matrix involves variables like x,y,z ? It is easy to deal with numbers but not with variables

[@ildwan]

Thank you SO much for your video!!! I used your method ,and it made the problem easier to solve. :D

[@philipT8989]

I want to know something that you cant find on youtube cuz every video is the same for som unknow reason, what happens when you cant reduce anymore and there is something else then zero?