Part 2, Solving Using Matrices and Cramer's Rule, 3 Variables with 3 Equations
ฝัง
- เผยแพร่เมื่อ 5 ก.พ. 2025
- The video shows and explains the following
How to set up the matrices from 3 equations with 3 variables
Short cut to finding the determinant of a 3 by 3 matrix
Finding the values of x, y, z using the determinants
I just learned something new in a few minutes rather than a 1 hour lecture this guy rocks!!
I wish I had a math Prof like you, greatest respect++++
Wow, this is the first video I've seen on this channel that's long enough to have an ad break! But the repetition is so valuable when learning a new technique.
I learned this method for the first time from your two videos and I can do it by myself now. Easy to understand and clear explanation!
Great to hear!
I've never been taught about this method, and you made it look simple and clear, thanks!
I don't even know what matrixes are but ya this method gives some pleasure
Great way to do it, step by step and I really enjoyed it. 👍
Advanced algebra
@@mwcviper7314 The plural of matrix is matrices. What they are, is mathematical structures for organizing the information of systems of linear equations, such as this example, and keep track of your work a lot better than if you were to just work with them as individual equations.
@@RisingwoodsGal The thing is, I have never taken math seriously until I started uni (Engineering), so since I have a degree in tourism, you can now see by yourself that my high school degree doesn't require any kind of math skills at all, especially in today's world (you know AI and calculators are rather predominant in any field that isn't scientifically related) moreover where I live the school system is pretty damn different from the American one, plus I'm barely 19 and well... safe for me to say I am young, therefore I still have plenty of time for me to study and improve my knowledge.
this was beautiful, and the projector + blackboard combination was also beautiful
Thank you Mr. H, always a pleasure to watch and listen to you
You are very welcome
Taking Discriminants of matrices over 2 variables is so complicated that this method is so much nicer. Thanks for the heads up!
So funny, BUT seriously! Learned this method long time ago. The difference is, I re-learned this method better than first one!! Excellent explanation!!!
this is definitely the first time I've loved math with a passion and understood it too. Thanks for your commitment.
You're very welcome!
Thank you so much Mr.H..you simplified the steps well enough for me🙏🙏
The method I was taught for calculating determinants was much more complex. This is elegant! Thank you for this.
Thanks for appreciating the method.
The method of positive diagonals and negative diagonals as he showed here (the rule of Sarrus), only works for 2x2 and 3x3 matrices. Once you get to 4x4 matrices and beyond, it no longer works. That is probably why they taught a much more complex method, so it can generalize for higher dimensions of matrices.
You took something that I wasted a good hour or so trying to figure out after the professor's explanation (and relatively convoluted method compared to yours), and made COMPLETE, SIMPLIFIED sense of it within less than 9 mins. Thank you so much for this video! I don't get why my professor did such a more complicated method than this!
Maybe that’s the traditional one, I learnt that one too, and yes this channel’s one is much much simpler
Aaah big man uliwakuleka fye ulitole ( translation, you're great thanks a lot for this new method....) 2024 is my year
Wakulekafye
I just saw ati "Aaaah big man uliwakuleka fye" Fast fast I knew that uyu wapa zed.
Mukali sana 🙌
So chapa Copperbelt ichi 😂
Chishinca
The way that you present is so clear and understandable. Thank you so much!
👍🏻 Very clearly and straightforwardly explained. In my memory this was (apparently) so complicated that I always avoided the matrices calculation.
THAT is now a thing of the past.
Thank you for this presentation.
Glad it was helpful!
Good video! Just the right pace to learn the complete process without wasting any time. Thanks!
That was clear and concise. The best explanation of how to solve using determinants I have ever seen. Thank you for your videos.
Great to hear!
I love this method and I will like to show it to my fellow course mates who have been struggling to solve this using crammers
Thanks for this major flashback from my Freshmen Year in EE. I had forgotten how to do this. I found your explanation to be really very good and inspirational.
Glad it helped!
Thank you. You are good man and good teacher.
This is extremely good content. In two videos you helped me understand what I couldn’t grasp in a whole semester of linear algebra!!!!!
Glad it was helpful!
sammme thank you so much
@@mrhtutoringthank you so much i was stuck in matrix method.. Saved the day🎉🎉❤ 😁
Just two videos and I have mastered it well enough.. God bless you Mr.H
Great job!
Amazing video, thank you for not taking short cuts on explanations and illustrating each calculation.
Where were you during my A-Levels?! Thanks for this guide!
Glad I could help!
I left school in 1969 (year 12 ) never saw or heard of this method. My brain is in line for a fair bit of a workout! Thank you!
Happy to help!
You are good teacher 🎉
20 years ago,
Our math (Linear algebra) professor at the university never mentioned this method.
Thank you for uploading this video.
The agenda in the maths community just as in the world order is to render maths obscure, to avoid passing a liberating science to the masses.
Thank you Mr. H
I Graduated as an E.E. , and you're explanation of the Crammer rule have made it easier. I am looking forward to doing some practice problems.
Best of luck!
Very impressive...
I haven't understood from lecture today but here's the timeless method you've given me.
Thank you sir.
God will bless you.
Congratulations on your getting 100,000 followers. I enjoy the clarity of your presentations.
Thank you very much!
Tomorrow is our Linear Algebra Quiz, this is so helpful! Kudos to Mr. H!!!
I've learnt this method when I was a sophomore 50 years ago when I was 18. Memories come. Thank you.
Math is my hobby and really enjoy these videos .. clear and concise. Thank you, Mr H .. keep up the good work, and Hello! to everyone in these comments
Thanks, will do!
I have never studied matrices but this looked easy first time. Now I will teach this to my kids. Thanks
Wow! Math in my US schools was not taught this way! This is excellent!!
Thank you very much Mr. H, I have redownloaded several videos to understand this even video in French, but I did not understand until I saw your video, the explanations clearer and simpler.
Intriguing. The more variables there are, the more time-saving one benefits from using this approach. Cool.
This is the first time I came across Mr H's Video.
Really Cool Explanation.
Thanks a Lot for your Simple & Clear teaching 🙏👍
Thanks and welcome
Thank you sir, ive struggle for past 4 years solving this problem, watching different videos & not coming to a conclusion. Glad i came across your video. May you be blessed 🤲🏾
The old school method is to cover and multiply through to find x, y, and z. Then add and or subtract to find x, y, and z. I studied 4 years in aerospace engineering and your short cut method is short and painless. I’ll never stop learning. Thank You.
My brother you saved me 👍🏾👍🏾thanks really like your method you explained it better than my teacher
Happy to help
Mr H, I bow to you. Incredible.
You r a true life saver...thanx man.... I've been struggling with this questions since i joined college.....😂not any more thanx to u 🎉
👍
I enjoy your videos very much. I'm amazed that someone worked this out in the first place (as I am with a LOT of maths stuff). Thank you and greetings from Australia.
Glad it was helpful!
😭u good at teaching. I couldn't understand anything my lecture said but u made it so simple
Glad it helped
This is a good refresher video. Linear algebra was so fun once I started to understand
Wonderfully explained ❤
You made it very simple to understand. I just subscribed and turned on my notifications because i need the premium of this work.
Excelent....very clear explination of determinants and Cramer's Rule (from and old mathematican)
Thank you for the compliment
Thank you MR H . What an honor to watch your explanation and Know your channel
Really short and easy to understand . Thank you for sharing this 😊
The easiest way that I learned to find the determinent.Love from Sri Lanka❤
Good solution, new to this process. Thnx
I remember something like this Mid-Essex technical college 1971 or 72 HNC Electrical Engineering Math.
All these years later, I now understand it.
Thank you!
Thanks a lot. Please I need more of your tutors in maths❤❤❤❤
I don't think I learnt Matrix in high school, or not anything useful Matrix, this is very educational.
What's the name of the method please
Am heading for a cat right now and we havent been taught this,Now lemme go and cook,Thanks alot,simple and brief,plus one more subscriber😍
Thanks sir.
But I am not in higher classes but solved this question using class 10th Substitution and elimination method . I just opened my mind tried to thing inovately like you.
I understood this better than the 3 hour discussion i had. this solution might be longer but its easier. Thank you so much Mr. H
This is very good and simple to understand. Thank you
Hi can u please explain to me what he said when you are found to have negative values ,🙏
I loved the video, you made it easy to understand...
Thanks
🙏
This is now being easy for me when I look this method
Thanks Mr H! this was very helpful
Glad to hear it was helpful.
This is the most effective way to solve for xyz in matrix. Very good
very smooth you really help me do my exams
Thanks You Mr H. For these example for a easy way understanding Cramer's rules for calculate systems of equations.
You are welcome!
Great teacher !!!!! Kids now day need this kind of inspiration!!!
You're a great math instructor.
Wow, thanks!
This is really useful. I paused the video to try and solve y and z on my own, using your method, and it worked! Thank you so much.
Glad it helped!
thank you so much, my Algebra teacher taught us the substitution and the elimination method, he told us we would learn this in precalculus, but I was really having a hard time understand substitution and elimination, so I looked online for matrice lessons and had a hard time understanding them until this video
I have exam today and this is so simple to understand thank you Mr H
Good luck with your exam.
@@mrhtutoring thank you Mr H i pass my exam
Congrats!
The best way to explain! Thanks a lottt! ❤❤
Glad it helped!
The way that you find the determinant was awesome 👍👍👍👍👍👍👍
Amazing content
Excellent explanations
thanks for the great explanation ....
I learned I lot from you, thank you very much❤️
Glad I could help👍
Unbelievable! I just learnt it even faster.
Big up❤
Your the best man God bless you ❤❤❤
🙏
Very good! Congratulations for your class!
Thanks for your esteemed efforts
It's my pleasure
your explanation is very demure sir......thank you
this method is amazing! thank u for this
This is the all time best video on this topic
Thank you I have finally understood crammers rule 😊😊
OMG!!! very very very useful... the day after tomorrow i'll take the final exam in engineering math and NOW i found the easy way how to solve this cramer's rule. thank you so much Mr H ☺☺☺☺
Good luck with your final exam!
Completely understood everything from watching the video once instead of listening to 1 30 lecture. Thank you
Best two maths lessons I ever had.
This guy is good he made it look so easy and just helped me in my 50 question matrix homework 😊😊😊😊😊😊😊😊
this was a very good video and was able to make a good understanding. Thank You Sir A lot for ur help!!!!!!
Glad to hear that!
Thank you, was waiting for part 2
Same😅
Hope you enjoyed it!
Amazing! We’re never taught it before.
U are such a good teacher.. thanks alot
It's seriously very good
Bro, u r the goat
Very clear and straightforward,thank you
Glad it was helpful!
Thank you once again for explaining this concept so fantastically.
awesome content❤❤❤❤
Thank you for your teaching 🌹
I like matrices .
This method is very slowly and interesting.
I was dying😭😭and this was the best way I learnt this thing ❤️❤️😭😭udk how much u saved me today love you lots