❖ Multiplying Matrices - Example 1 ❖
ฝัง
- เผยแพร่เมื่อ 4 ต.ค. 2024
- 🔢 Matrix Multiplication Explained - Step-by-Step Examples 🧮
In this video, we dive into the concept of matrix multiplication with two complete examples that will help you master multiplying matrices.
🚀 What’s covered:
Understanding the size of a matrix (rows and columns) and how it determines whether two matrices can be multiplied.
Key requirement: The number of columns in matrix A must equal the number of rows in matrix B for multiplication to be possible.
Why matrix multiplication is NOT commutative (i.e., AB ≠ BA in most cases).
I also use paper arrows as visual aids to help illustrate the process, making it easier to follow each step of the calculation. While matrix multiplication by hand can be tedious, it’s important to grasp the concept, especially for those studying linear algebra, computer science, or engineering!
💡 Pro Tip: Though matrix multiplication can be done with a calculator or computer, understanding the steps behind it is crucial for exams and a deeper understanding of the subject.
👍 Don’t forget to like, subscribe, and hit the notification bell for more math tutorials! 🔔✨
#MatrixMultiplication #MultiplyingMatrices #LinearAlgebra #MathTutorial #MatrixOperations #MathHelp #Matrices #Mathematics #LearningMath #STEM #Algebra #MatrixCalculations #MatrixSize
Hi all! Please post comments, questions and anything else on your mind in the comment section! While I try to answer as many questions as I can, there are more questions than I can answer by myself so if you are someone who might be able to help, please do so! The community is so much better when everyone is involved and helping each other out. Our strength is our willingness to help each other!
Also please feel free to like or dislike the video. Your feedback is always appreciated so that hopefully I can make my future videos the best possible! Thanks and happy studies!
I am like 12 years old trying to learn machine learning, and they said I need to have the knowledge of Calculus and Matrix. I was just like "what the hell is that", after going through a couple of other videos of introduction into Matrix I went on for multiplication and division, then I found your vid.
It was really helpful, thanks.
P.S. this channel deserves more subs
P.S.P.S. english is not my main language so sorry if mistakes were made
How can i have the area of triangle
im taking my GCSE o levels this year. this video helps a lot :))
Fucking idiot u confused me more
@@bhikaristan69yearsagoor87 No need to swear!
I passed calculus because of you, now I'm here to pass linear algebra.
Same here lol I passed calc with a C now I'm here to pass vector geometry and linear algebra with an A
HAHA same!!
I'd since passed linear algebra and finished my bachelors in mathematics from the University of Washington ^_^
WOW!!! i Salute you sir!! hows life after college? haha
Fantastic, I moved to Poland and now I'm a professional youtuber. This is my channel...
TH-cam is honestly a better math teacher than the one I have in school. Thank you for saving my life.
Yeah trues upp
how many lives this guy have saved?
well, there was that overweight eastern european guy who swam out too far in the ocean a few years ago while i was in mexico. he was bobbing up and down so i gave him my kick-board and i swam back to shore. pretty sure he was in big trouble... so there is that one at least.
Mine counts ?
death by mathematics? i have never heard of it :)
+patrickJMT It is a pretty common cause of death ! :)
+noobkosh GLORY FOR THE GREAT SAVIOR (GOD CHRIST) FOR HE CRATED SAVING IN US lol
Patrick has been helping hundreds of thousands of future scholars, whether they are to be Math Teachers, or Engineers, or Scientists, Patrick has dedicated his life for the betterment of this Earth, and it is working very good
he has saved thousands from dropping out a Engineer or Math Major through his simple explanations,
and thus in the coming future, i hope more Patricks emerge and help make this planet a one filled with love of knowledge
Cringe
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A world ruled by nerds! :')
TH-cam 2008 with 10 minute limits. Good times
Happyman1773 rofl
no.
2020,
2021
I'm in 3rd year studying mathematics as a minor and Patrick continues to help me and noobkosh took the words right out of my mouth; Patrick SAVES me each semester. You are just incredible. Much Love :*
Much appreciated! ;)
+patrickJMT you are a life saver
👎
Bless! My teacher was going over this last week and I did not understand it all, and I didn't really understand the way the book put it either, thank you so much for posting this!!!
glad it helped :)
This arrow method is soo useful...thank you
i should patent it
You really should :P I've multiplied matrices a couple times before, but I always keep forgetting how exactly it works. The arrows just made it a tiiiiny little bit simpler right now :P
Anyway, your videos are awesome! They seem to be helping me out of the hellhole that is Math :P Too bad I discovered them an hour before a test :(
@@patrickjmt yessir
"10min limit" Oh my god. I didn't notice how old this video was. We also had a yellow subscribe box in 2008 if I'm not mistaken.
whatshername I didn't notice until I saw this tho I heard him say that.. X)
I want to see your face
A Message from 2018: Thank you very much for this video. The rules still haven’t changed in matrices, so it’s still valuable!
happy to help :)
@@patrickjmt u still alive
@@patrickjmt 😂😂😂😂
Also wanted to keep the thread going, as a messenger from 2019: math is still the same, but great people who do that math on the internet are still helping me out.
so many years later, i still come back to this channel to review math. super awesome teacher! :D
glad it helped!
and: hang in there... we all have good and bad teachers. do not let the teacher discourage you!!
USE THE ARROWS on your test! : )
Goooooooood luck!
you deserve a fraction of my tuition fees.
jsa1993 lmfao he'd be rich
@@RzVids 1/2 lol
i just taught you, so doesn't that make me a math teacher? : )
I am now in the matrix with neo
+mario rojas 2015 Math struggles
You have transcended the limits of comedy
Patrick, I hope you understand that you aren't just helping people who are struggling in their math class. I have to multiply matrices for my programming class, and I totally forgot how. This is great. You are clear, consistent, and you start from the beginning to end. Thank you! Love your videos!
howdy! so glad i was able to help clear up some of the confusion! good luck in your class!
The moving arrows actually REALLY helped me, thanks!
When you showed what the dimensions of the matrices were (mxn) then linked them to say n of the first = m of the second : MIND BLOWN! Your visual cleared up so much confusion for me. Thanks!
"youtube time limit - 2008" haha
Patrick!!
Thank you so much. You helped me all the way to Calculus 3. Thank you.
My hero
Dude this is now 2019, U saved my life, and I belive more in the future.
watch my maths videos to learn something.
I'm some old guy who could never quite get the hang of matrices. It's remarkable how your simple approach to how it all works is so comprehensible. Sincere thanks for making it accessible to the likes of me.
glad i was able to help pull it all together for you!
thanks! we watched this in class when our teacher was gone. very helpful!
i get it now thank you...we are watching your videos in south africa....very helpful
When you created this I was in second grade enjoying the carefree life. 12 years ahead I have recently failed my sophomore high school exams because of maths and now I'm taking help from you. Thank you Patrick.
The service you provide is worth more than the compensation you receive.
Saying you saved my sanity would be an understatement. I advise you spend at least 60 seconds reflecting on how helpful you've been to so many people. Keep it up man!
I passed high school and college with your help! thanks man
THESE are the kinds of people the world looks out for, you have really changed my mentality about MATRICES.Well done.
i had math CXC coming up an you let me understand a lot of things that i never understand, your really GREAT.
+Dale Richard Same here i have it today actually well in 9 hours. Hoping i get easy matrice questions because i understand them now
words don't describe how i feel now about how fast i learned this!
Thank you for making these videos. They are a HUGE help!
(*got stuck in the washing machine*) (*you come from behind*) me-What are you doing swepston(stepson)?
I can't remember the last time I had somebody explained math to me so well XD Thank you!
Seriously, you make my life easier with your videos!!
Why you're not my Discrete math professor!!?
@cestlina very happy to help : )
just doin' my best here :)
Annie, one way that matrix multiplication is used is to do geometric transformations in video games and CGI. If you want to rotate, reflect, dilate or translate an object on the screen, this can be done by putting the coordinates of the points in the matrix and then multiplying by an appropriate "transforming" matrix.
glad it helped! : )
@cestlina hope it went well : )
thanks you helped me in my unit test and was able to score good marks in in matrices
All these years later (for me) your videos are still amazeballs!
This guy save my life because I have a test tomorrow😂
A+ Bravo.
Im currently i 8th grade taking an Algebra 1 Highschool Credit class and i haven't had any problems in the class...until today. We started with adding and subtracting matrices and it was a piece of cake. Then came this.
She used all these lines, and arrows and it confused me so much. So i came home, searched google for help, and this video popped up. I know completely understand Multiplying Matrices.
Thank You.
Patrick JMT>Khan academy. Khan academy drags his videos on for about an hour
Only real numbers can be compared :v
Thanks for the refresher. I studied this topic in college but I never had to use it until recently. Your instruction helped a lot.
Dude your videos are gonna save my ass next thursday.
lol mine is next tuesday!
Dude actually saved my ass. I aced it!
Yasja de Miranda mine is tomorrow lol😬
Mine next Wednesday lmao
Mine is nxt week lel
You are a brilliant explainer. The little arrows may be the best pedagogical tool I've ever seen. Bravo
its 2019 now thanks for the help i hope i pass my exam tommorow
Ahhh me too 😂
my prof covered this in under 3 minutes, its no wonder I couldn't keep up. Thanks for posting this video.
So how does this work in coding or encryption code for programming ?🤷♂️
Two minutes in and I got what I needed. This guy is a god.
What was the guy on the left saying ?
Sheesh..A guy uploaded video in 2008 and helped a person in 2021, Dope!
I have this problem that im always afraid of math so afraid that sometimes i cant solve a problem just because of fear and i make so maby mistakes just becaude of my fear i hope you give me a small advise knowing that i dont know how to overcome it
omar Yehya to conquer fear you must become fear
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happy to help : )
I'm saving this for later, much appreciated help for a very difficult problem
true
OMG THANK YOU SO MUCH!!!! I HAVE A TEST TODAY AND LITERALLY HAD NO IDEA HOW TO DO THIS. BUT THANKS TO YOU, NOW I DO!!
Why would you disable ratings for this??
I am studying Algebra II at this time, and your videos help a lot. The college I am in shares your videos with us students weekly. Thank you for all the help.
thanks!
Honestly I don't even pay attention in class anymore, I just watch your videos the night before the test! And I learn more than I would in weeks at school!
u are best
A K ,hai
I didn't realize how old this video was until you said 10 minute time limit...thanks for your help!!
2020? :)
Patrick, although just discovering you tonight while i was hopelessly studying for my exam, i can say that you have indeed made me a lot happier. Thanks a ton and keep it up
whose here for their linear algebra class?
Me.
Thanks for making this clearer, I always seems got confused and stuck when it is done alone without guidance for doing this.
@oreion69 ok just making sure : )
my pleasure, happy to help :)
Lol, I remember seeing this for the first time in 2013. Keep it up patrickJMT!
glad i could help! : )
Thanks for the reminder. I'm in abstract algebra and I hadn't multiplied these babies in a long time.
I wasn't trying to brag. I realize it seemed that way and will think more carefully so not to make others feel lesser than me. Two: I was just trying to be funny. :)
perfect!!
Man ur a god. I was in class not getting this method because I couldn’t understand my teacher cause he is lazy and wants to go as fast as possible cause igcse are coming soon. He kept on asking me and dint even give me time to calculate I’m my head and the whole class was just laughing at me. You made me get this fast in just 3 minutes I got it. Thanks
Thank you, that was great! "Live" working is so much easier to understand than struggling with inanimate numbers in a text book.
From india the video my 2019
Helps out so much. This is something the professor always rushes through.
i wasnt even in school when this was posted,it really helped me now...thank you
It's about time. I couldn't get my head wrapped around this until I watched your video thanks a lot.
Every year I am forgetting how to do it, and I am re-viewing your video over and over again :D
THX bro ! :)
2021 and still saving so many lives
This is very hard to try and understand from a textbook but the second I watch your video with shifting arrows it all makes sense.
Dear Patrick you helped some of my students who didn't understand after 1 attempt.
This made it much easier for me to understand as the presentation in my class seemed to complicate the process.
Man, I just found your channel and I love it. I'm 13 and in an Algebra 1 class and I like to learn all of the work before we do it. Currently I've finished learning our curriculum for this year and now I'm just learning random stuff. I'm a visual learner and this really helps.
glad you like it! tons of videos so come back any time !
tomorrow is my supply of math paper at uni and im preparing just by watching your videos thanks very much God bless you sir
well you definetly explained that better than my lecturer... thanks bro
i always rely on your videos for my math courses. they are very helpful
PLEASE BE MY MATHS TEACHER!!!!PEASE YOU ARE SUCH A GOOD TEACHER.I NEED YOU WE NEED MORE OF YOU IN MY SCHOOL
Let his subscriber community grow on to a million! He is amazing
Missed a day in math class an this was so helpful and understanding thanks so much
Thank you for this. I am in precalc in high school and we just started learning this. I wasn't quite sure how my teacher was getting his answers, and I was trying to ask questions but was still confused. The showing of the arrows and the explanation just made it so much clearer, thank you so much
I can't imagine what would I do without you 'patrickJMT'. Thank You soooo much.
Thank you so much even though this is 13 years old. How you present it is way easier to understand than most videos i tried to look up
I don't know how my professor makes this stuff seem so difficult. Great video, as always.
Thanks dude , I don't get how our teacher cant explain it like this. such a simple task to do , thanks again
Thanks for simplifying the problems,
I'm starting to learn more in youtube than in class.
From the future (2017) to back 2008. Thank you very much, your video still helping many students...