Patrick, I always recommend people to watch your videos. Your videos carried me through calculus and linear algebra. You are one of the few people who can explain any subject crystal clear. Thanks.
Watching the first part of this video where you did the basic system of equations example from Algebra made me miss how simple math was back then 😂😭 it's been at least 8 years since I did math like that lmao
patrickJMT The way you did this video (going through all the tiny steps and showing the method of solving by emilination without and with a matrix, and graphing the first problem) was extremely helpful and helped me validate these as methods of solving these kind of problems. Thanks brah!
As with the other commenters, these videos are definitely coming at a good time. I've been following your channel for the past few years since calc1, and now I'm getting into differential equations and linear algebra. It is entertaining for me to go back and watch the middleschool/highschool level math to see how you explain them (I plan to be a math teacher), but these higher level videos are what help me.
I have always used you in my calculus classes but didn't realize you also did vids for linear algebra! I wish I would have known this sooner! You are helping me pass my class and therefore become an engineer, so thank you. SO MUCH, you da man cool guy!
Thanks for your help. I couldn't understand why the book was saying the answer was linearly dependent for my problem set. Once I watched your video I realized that the book hadn't explicitly said that linearly dependent systems have nontrivial solutions. Therefore I was getting nontrivial and trivial confused! Sometimes they write this stuff so confusing! I may watch more of your videos if I need help in studying for my final. Thanks. You have very nice handwriting btw.
I love these new Linear Algebra videos. They're being released just after we go over the subject so I can go back and get more review. You're the best Patrick!!!!~~~!!~~!
Hi Patrick, am still watching this video right now but just to mention, I searched on TH-cam for videos explaining Trivial solution and Non Trivial solution and read lots of notes but in vain. I have to do self learning and I found your video helpful and I love how you explain taking your time but I have a question that is, how do you know which row to add or substract or multiply or divide by a number. Could you please help me with this I really need someone to explain this to me and TH-cam classes are my only solutions. Thanks in advance From Mauritius.
I feel like everyone talks about how it'd be awesome to live in Binging With Babish's apartment and get food but no one talks about how awesome it would be to be PatrickJMT's roommate in college and get LITERALLY ALL THE HELP EVER.
Just America? He helps us hunters and gatherers in South Africa too, you know! And yes, it took me days of fighting through thick bush and hungry lions to get to a computer.
Patrick, isn't it easier in the last example to just continue your row-reduction and bring the matrix back to it's reduced echelon form? this way you'll get | 1 0 0 0 | = X1 = 0 | 0 1 0 0 | = X2 = 0 | 0 0 1 0 | = X3 = 0 Would'nt that be the quickest way?
Are homogeneous systems of linear equations always consistent? Why? Is it true if a system of equation has more then one solution, then it must have an infinite number of solutions? Does a homogenous system always have an infinite number of solutions?
i know how to get infininte solutions! i know im late... but the equations need to be the same. the variables and coefficients need to be the same. it may take a bit of simplifying though.
TH-cam should just give us a certificate for graduating from watching these amazing math videos, then I won't have to spend so much money on my bs university...
+patrickJMT or anyone who knows, is this related to the wronskian, for my test I have to learn how to solve second order linear eqns using the Wronskian
well, Thanks a lot, it was a great video. But I just have a question, that is nontrivial solution only for homogenous system? cuz I'm pretty sure I've seen many examples that they weren't actually homogenous but they were forced to get parameter, therefore they had nontrivial solution. " The system has nontrivial solution with fewer variables than equation" Would be wrong , right?
i'm sorry of this is not a great question to ask, but if the matrix has free variables (ie there's more variables than equations), can the system have a trivial solution?
This kind of stuff seems really intuitive and obvious, but I'm having a problem with a matrix that's 2x4. 4 variables with only 2 equations makes it pretty rough to solve, reduce, whatever. Any tips?
i dont understand, why do u have to solve anyything? if the trivial solution is when everything is = 0 just but x1 and x2 ... xn = 0 and its always be zero?
yes..i am a teacher in mathematics..yet i didnt learn this in high school and in college so i am having a hard time encountering this in my master's degree..hehehe
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Patrick, I always recommend people to watch your videos. Your videos carried me through calculus and linear algebra. You are one of the few people who can explain any subject crystal clear. Thanks.
how are you doing in life now I am taking the exact same classes
almost ten years and still watching this video,.
thanks, Patrick!
almost ten years and math is still a pain in the ass
you are a lifesaver, my uni course explains things so confusingly and this just made me understand immediately
I love yo so much. You save me in literally every class
literally or figuratively ?
I assume figuratively. I don't believe all his classes are math.
Tordur Hansen lol i know
Why do you LOVE him mann?
Watching the first part of this video where you did the basic system of equations example from Algebra made me miss how simple math was back then 😂😭 it's been at least 8 years since I did math like that lmao
patrickJMT The way you did this video (going through all the tiny steps and showing the method of solving by emilination without and with a matrix, and graphing the first problem) was extremely helpful and helped me validate these as methods of solving these kind of problems. Thanks brah!
As with the other commenters, these videos are definitely coming at a good time. I've been following your channel for the past few years since calc1, and now I'm getting into differential equations and linear algebra. It is entertaining for me to go back and watch the middleschool/highschool level math to see how you explain them (I plan to be a math teacher), but these higher level videos are what help me.
That was bloody brilliant!!! I'm studying from home and you have really helped me understand this way better than any textbook ever could.
Patrick,you are by far the best math tutor I've ever encountered
One word -> OUTSTANDING
I have always used you in my calculus classes but didn't realize you also did vids for linear algebra! I wish I would have known this sooner! You are helping me pass my class and therefore become an engineer, so thank you. SO MUCH, you da man cool guy!
Thanks for your help. I couldn't understand why the book was saying the answer was linearly dependent for my problem set. Once I watched your video I realized that the book hadn't explicitly said that linearly dependent systems have nontrivial solutions. Therefore I was getting nontrivial and trivial confused! Sometimes they write this stuff so confusing! I may watch more of your videos if I need help in studying for my final. Thanks. You have very nice handwriting btw.
this video cleared my confusion between trivial and nontrivial solution. Thanks for this amazing video. Peace
I love these new Linear Algebra videos. They're being released just after we go over the subject so I can go back and get more review. You're the best Patrick!!!!~~~!!~~!
Don't forget about Canada. I've heard at least 4 other people in my classes mention patrick.
Hi Patrick, am still watching this video right now but just to mention, I searched on TH-cam for videos explaining Trivial solution and Non Trivial solution and read lots of notes but in vain. I have to do self learning and I found your video helpful and I love how you explain taking your time but I have a question that is, how do you know which row to add or substract or multiply or divide by a number. Could you please help me with this I really need someone to explain this to me and TH-cam classes are my only solutions.
Thanks in advance
From Mauritius.
I feel like everyone talks about how it'd be awesome to live in Binging With Babish's apartment and get food but no one talks about how awesome it would be to be PatrickJMT's roommate in college and get LITERALLY ALL THE HELP EVER.
You should be America's math teacher for all courses. A video each step of the entire way...
Thnxx for explaining in short time with such admirable quantity
Thanks for a great explanation!
Thank you!!! Online school sucks, but your videos are awesome!! :)
Kudos man, you give me some kinda easy ways of row reducing matrix system
I'm in my final year of graduation and my concepts were cleared just now after watching this video lol
Your Video is one of the best I have seen man ! Very good job. You are really good !
Really useful! Thanks for helping me understand a concept that my teacher cannot teach me!
maybe one day :)
Just America? He helps us hunters and gatherers in South Africa too, you know! And yes, it took me days of fighting through thick bush and hungry lions to get to a computer.
Patrick, isn't it easier in the last example to just continue your row-reduction and bring the matrix back to it's reduced echelon form? this way you'll get
| 1 0 0 0 | = X1 = 0
| 0 1 0 0 | = X2 = 0
| 0 0 1 0 | = X3 = 0
Would'nt that be the quickest way?
God bless this guy
@ryantheleach thanks for letting me know! it sounds ok on my end, or i would have fixed it by now. a few glitchy noises, but nothing terrible i hope
Are homogeneous systems of linear equations always consistent? Why? Is it true if a system of equation has more then one solution, then it must have an infinite number of solutions? Does a homogenous system always have an infinite number of solutions?
well,u made it,u were only mine last hope .thanx 4 explaining it
patrickJMT SIR THANK YOU FOR SAVING THE WORLD FROM EVIL MATH TORTURE.
Yes , I'm sure the While House cares deeply about the youths education...
thanks for making it easy
@patrickJMT you could probably boost it in post-processing but the audio is fine.
at least, my guess is that is what will have in your example
Ya, if only I could take the money i spent at school back to give it to the person actually teaching me something!
@SuvinRK yep, if it is trivial, that is correct
the playlist is backwards! but the content is fantastic! hope you fix it if you can.
so if there are only trivial solutions, does that mean that the equations are linearly independent?
good explanation
Sir! Pl. tell me that when we'll get infinitely many solutions???
i know how to get infininte solutions! i know im late... but the equations need to be the same. the variables and coefficients need to be the same. it may take a bit of simplifying though.
TH-cam should just give us a certificate for graduating from watching these amazing math videos, then I won't have to spend so much money on my bs university...
+patrickJMT or anyone who knows, is this related to the wronskian, for my test I have to learn how to solve second order linear eqns using the Wronskian
You make all these linear problems seem.... trivial....
@timugin glad you like 'em :)
I like the part where he says the words. Its good stuff.
In the last example, Why didnt you convert the matrix into RREF before finding the solution!?
If I was a poet I will praise you.Thanks a lot
when both variables are (0,0) the equation is said to be Trivial sol
well, Thanks a lot, it was a great video.
But I just have a question, that is nontrivial solution only for homogenous system? cuz I'm pretty sure I've seen many examples that they weren't actually homogenous but they were forced to get parameter, therefore they had nontrivial solution.
" The system has nontrivial solution with fewer variables than equation" Would be wrong , right?
i'm sorry of this is not a great question to ask, but if the matrix has free variables (ie there's more variables than equations), can the system have a trivial solution?
Well explained 👍
Very well explained! Your videos are great!
thanks.. is trivial solution only for homogeneous?
That's great where is part 2
Is the trivial solution always equal to 0?
This kind of stuff seems really intuitive and obvious, but I'm having a problem with a matrix that's 2x4. 4 variables with only 2 equations makes it pretty rough to solve, reduce, whatever. Any tips?
is this the general solution?
i dont understand, why do u have to solve anyything? if the trivial solution is when everything is = 0 just but x1 and x2 ... xn = 0 and its always be zero?
It's very informative sir 😊
excellent
what about non trival?:-(
@3croN i have the input as loud as it will go... do not know if they sell pre-amps to boost the signal.
in my solution book,in some cases they use the same variable for two different free variables. for example x3=a and x4=a? why is this?
you will have two free variables with infinitely many solutions - i have videos like this
also how do you know to do -1R_1+ R_3 = R_3
Hi, sir! How about solving 2 by 4 matrix using Gauss Jordan Reduction? Is that possible to use that tricks in that situation? God bless.
This is for which Grade/Class ?
patrick, thank u man, i realy enjoy ur grt vedeos, keep on
yes..i am a teacher in mathematics..yet i didnt learn this in high school and in college so i am having a hard time encountering this in my master's degree..hehehe
you my new teacher
why did you multiply 2(2x-2y)=o why the 2??
wait so does that mean that a trivial solution is only one where all the solutions are zero?
After 10 years
Is |A'| also equals to zero
Hey man how do i identify free variables in the equations?
nicely taught..
You lost me on the graphing part. Where did u get that -5 from?
why doesn't the sound of any of your videos work anymore? am i the only one experiencing this?
Yes
+MrShacky96 try going into your control panel>hardware and sound>sound, then configure your speakers for stereo. may help.
+MrShacky96 Yeah make sure you don't have any surround sound turned on, it messes up the audio in his videos.
+patrickJMT Hes alive! thanks for your vids btw. do you happen to have a video for wronskian problems and what its use is.
@PhxPride1 good timing!
Please make your videos more louder, I dont know if its my headphones fault, but you are too quiet, please :)
this is linear algebra??
thank you from 2020
u still alive patrick
Smile. Fantastic fan thanks lecturer
@michaelpostal sounds just fine on my computer when i watch it
Great job!!!
thank you very much ♥♥
Hey Patrick, I think it's worth mentioning that the matrix is called an augmented matrix. Thanks for the video
Ty ❤️
super example
sir
I enjoy your videos!!!
thanks
thanks :)
Voice is too low. Keep up good work.
I am looking for to the solution of linear algrbra .....!thanx
Thanks buddy
thank you i love you
Sir please improve the audio quality it's very low
it really isn't though