I wouldn't exactly call it clear. Maybe it's just my age and being a Brit but an interpunct is what we use as a decimal point. So in my book 2·8 - 6·1 = -3·3 It gets even more confusing when he seems to be using the interpunct when he expresses Dx = ·20 which I read as 2 tenths NOT negative 20. I had to replay about 4 times to understand what he was doing. I realise that, in the modern day, it's more common to use the dot on the bottom of the line as a decimal point but in handwriting, we still use the interpunct as a decimal point. (and he was clearly writing by hand) I have to concede that some of this misunderstanding is due to me being a dinosaur, but the sloppy negative sign really didn't help.
My math teacher is really bad at teeching and explaining the lessons, but from your explanation Mr H, I understanded it very well! Thank you so much professor, and have a good day!
Thanks master, on my first job about CAE, we must to use another procedures, we had 2000 x 2000 matrix, so the problem is not produce a big numbers that reach overflow the computer....it was on 80's... saludos desde Mexico!!!!
You make Maths,....dare I say it? ....SIMPLE, FUN, INSPIRING and INTERESTING!!! Who would have thought there is a teacher there that makes Maths doable and FUN?!!!
The teacher is what makes math easy or hard. If it feels hard for you or you don’t get it, your teacher was probably the main issue. There are a lot of things you have to remember and that is another problem but if your teacher can’t break it down into something understandable or relatable then you will inevitably be in the “I don’t get it” or “math is hard and not fun at all” group. I always liked math and was fairly good at it but every once in a while I would get a teacher that could only teach what the examples were or couldn’t explain the process. I had to figure it out myself and find a way to make it make sense to me, which would put me behind a little. The struggles I had made it easier to teach others cuz I taught myself how to break it down into understandable steps. I would tutor my cousin and spend maybe 10 mins explaining what she was learning in an hour long class. All of the sudden, she flies through her homework and can’t understand why it was so easy when it was impossible just 10 minutes before.
This guy is why I quit teaching high school math. He's so much better than me that I realized I was not a natural. So many teacher better at math. Sounds bad, but sometimes you have to admit defeat.
Imagine how many more Mathematicians would be in the world if Mr H was their tutor. In primary school, I showed a lot of potential in maths. Come to secondary and a string of terrible teachers and fleeting teachers later and I was very mediocre. Need 100,000 Mr H’s.
My was opposite. Terrible teacher in junior school made me perform poorly in mathematics. However, good teachers in senior school made mathematics to be my best subject till I graduated from University.
Good video, but I'm going to have to disagree on using Cramer's Rule for large systems. Cramer's Rule is really of theoretical importance only and rarely (if ever) used in practice. The reason for this is that it's O(n^4), whereas Gaussian Elimination is O(n^3). To put it in perspective, calculating a single determinant takes about the same time as solving the entire system with Gaussian elimination. Gaussian elimination also has additional benefits - namely, it tells you the rank of the matrix, and if there is an infinite number of solutions, Gaussian elimination gives you them all. By contrast, Cramer's rule just breaks due to division by zero.
yeah. you should also note that if we use matrices in Linear algebra or complex analysis, they wont function this way. if we use crammers rule for a three variable we’ll be better off using Gaussian elimination.
Cramer's rule is still easy to apply in 3x3 determinants. Plus, the use of this example in the video made it pretty clear that its target audience is 9th-10th grade students, and not undergrads in Linear Algebra or Complex Calculus courses.
Multiply the 2nd equation by -2 to get -2X - 16Y = -4. Add the two equations together to get -10Y = -5Y: Y = 1/2. From the 2nd equation X + 4 =2: X= -2
Given √-2, one must change it to √-(1x2) then √-1x√2. Since √-1 = i, (√-2) ×(√-2) beccomes i√2 x i√2=i²√4 = -1√4 = -2. The negative sign inside the square root must come out first before multiplying the inside. I hope this helps.
Dear professor good morning sir. Sir please l am really enjoying your classes 👍but there is and area there that l still didn't understand 🙋but sir please 🙏if you don't mind could you please take the lectures all over🙏🙏
Some haters out there seem to think that you made this 2x2 solution too hard by using determinants. They missed the point. Choosing a 2x2 simplified the process for visual instruction. You should work a 4x4 for them. 🤣
I have studied mathematics in faculty of engineering very much in details and in highest levels In fact it was useless during my work over 30 years Really I didn’t get use of it at all Now I feel it was just waste of time for a normal mechanical engineer It could be useful for other fields of engineering like military or space or submarines but not for all fiefs of engineering
Hmm. thought I remembered adding the two equations together to get 3X +14Y =1, but that didn't get me anywhere. I wonder what I was thinking. Oh, I just checked on the "elimination" method. That's easy, but I'm not happy with it. It just doesn't seem right to me that you apply DIFFERENT multipliers to to each equation.. I'll have to see why that is okay before I move ahead. Anyway, I am 85, and I have to thank you for getting me me back to algebra.
This is one of the best explanations for matrices that I have ever seen. Thanks for this.
You're very welcome!
I used this approach in engineering all the time. Bringing back memories.
We used it for solving inequalities and linear programming warehouse allocation.
Wow I never thought I would learn this that fast, thank you so much!! He showed me in 4mins what my class couldn't in 1 hour LOL.
Never thought i would understand this method but i just did all thanks to you sirr🎉🎉so brief and extremely clear.. bless your heart ❤
I wouldn't exactly call it clear. Maybe it's just my age and being a Brit but an interpunct is what we use as a decimal point. So in my book 2·8 - 6·1 = -3·3
It gets even more confusing when he seems to be using the interpunct when he expresses Dx = ·20 which I read as 2 tenths NOT negative 20.
I had to replay about 4 times to understand what he was doing.
I realise that, in the modern day, it's more common to use the dot on the bottom of the line as a decimal point but in handwriting, we still use the interpunct as a decimal point. (and he was clearly writing by hand)
I have to concede that some of this misunderstanding is due to me being a dinosaur, but the sloppy negative sign really didn't help.
Absolutely quick and wonderful! Super digestible while still being thorough. Thank you so much! I've been struggling to understand this for weeks now.
My math teacher is really bad at teeching and explaining the lessons, but from your explanation Mr H, I understanded it very well!
Thank you so much professor, and have a good day!
teaching.
how does cramer come up with this stuff?
That would be an interesting thing to find out.
😂😂😂
I totally forgot it,but now it's kind of stuck in my head for good.thankyou very much.🙏
I've been looking for this for a long. Forgot all about it since high school.
Thanks for the video.
Glad I could help!
this actually came in my final math exam today (Grade 11) with three variables
I hope you did well!
@@mrhtutoringI hope he remembered to find determinants using cofactors
You still do this in grade 11? Here in Vietnam, solving this, including 3 and even 4 variables is like grade 8 math
@@genkuryuugood buddy but i jst wanna ask what will be the age of a kid to have admission in 8th grade 😅😂
@adolft_officiallmao. this will never be taught in madarsa. 😂
you always make things simple esp. In maths. you are Master wonderful for teaching maths.
Wow, thanks
Here I thought I mastered all of the methods. Thank you for this information. I will try it out.
Good stuff, Mr. H. Thank you!
I really like you as a math Tutor ❤️
I will try this method out for fun
Thanks master, on my first job about CAE, we must to use another procedures, we had 2000 x 2000 matrix, so the problem is not produce a big numbers that reach overflow the computer....it was on 80's... saludos desde Mexico!!!!
You're awesome professor! Thanks
Very clear . Thank you sir
From Sri Lanka.🙏🙏🙏🙏
Great sir .u made creamer,s rule so much easy
As a 5th grade teacher, I give this lesson an enthusiastic Thumbs Up. Motivational.
Always appreciate a compliment from another teacher.
You make Maths,....dare I say it? ....SIMPLE, FUN, INSPIRING and INTERESTING!!! Who would have thought there is a teacher there that makes Maths doable and FUN?!!!
The teacher is what makes math easy or hard. If it feels hard for you or you don’t get it, your teacher was probably the main issue. There are a lot of things you have to remember and that is another problem but if your teacher can’t break it down into something understandable or relatable then you will inevitably be in the “I don’t get it” or “math is hard and not fun at all” group.
I always liked math and was fairly good at it but every once in a while I would get a teacher that could only teach what the examples were or couldn’t explain the process. I had to figure it out myself and find a way to make it make sense to me, which would put me behind a little. The struggles I had made it easier to teach others cuz I taught myself how to break it down into understandable steps. I would tutor my cousin and spend maybe 10 mins explaining what she was learning in an hour long class. All of the sudden, she flies through her homework and can’t understand why it was so easy when it was impossible just 10 minutes before.
Yeah! A new tool to add to mathematical toolbox.
Thank you.
You're welcome!
This is new to me, but i can understand easily. Thanks!
Glad to hear that!
You are a great proffessor❤
Thank you. I always watch this video when I'm revising Cramer's rule.
The idea is good. Will help me a lot. Thanks Mr.H
You are most welcome
You are a great teacher❤
This guy is why I quit teaching high school math. He's so much better than me that I realized I was not a natural.
So many teacher better at math. Sounds bad, but sometimes you have to admit defeat.
@@Mark_Knighthey you can always learn and improve, do not give up on your passion!
AWESOME! Greetings from Brazil!
Hello there!
Really very useful sir ,I can teach for 10th students
The BEST VIDEO ON CRAMERS RULE EVA
👍
Thank you for explaining the use of this. I always thought it's just another (difficult) way.
Awesome teaching.Thank you, shifu.
my quiz is about to start and this guy is life saver😪😪
Imagine how many more
Mathematicians would be in the world if Mr H was their tutor.
In primary school, I showed a lot of potential in maths. Come to secondary and a string of terrible teachers and fleeting teachers later and I was very mediocre.
Need 100,000 Mr H’s.
My was opposite. Terrible teacher in junior school made me perform poorly in mathematics. However, good teachers in senior school made mathematics to be my best subject till I graduated from University.
Excellent, thanks.
Dear Professor, we need help with indefinite integration, which we find difficult, especially the integration of circular functions 😢❤
Mr H is so clever at teaching
thank you so much Mr H, i have been struggling alot with this kinds of problems
Wow you are a mathematician
quite fun to solve the equation in this manner
Looking forward on the next video!
Coming soon!
Thank you, Professor. Very helpful.
Thanks professor, this determinants are an invaluable help!
Glad you think so!
Good video, but I'm going to have to disagree on using Cramer's Rule for large systems.
Cramer's Rule is really of theoretical importance only and rarely (if ever) used in practice. The reason for this is that it's O(n^4), whereas Gaussian Elimination is O(n^3). To put it in perspective, calculating a single determinant takes about the same time as solving the entire system with Gaussian elimination.
Gaussian elimination also has additional benefits - namely, it tells you the rank of the matrix, and if there is an infinite number of solutions, Gaussian elimination gives you them all. By contrast, Cramer's rule just breaks due to division by zero.
Thanks for your efforts. Please also help us with Gauss' Jordan method in matrix
Thank you so much you made it soo easy and straight forward
Explanation clear .Thanks .
Glad you liked it
Thanks for solving method.
Wow... it's wonderful to watch .
Thanks to help me learning Cramer s rule
Thank you for the easy-to-understand video!
Superb as always...
Thanks a lot 😊
thank you sir,may god bless you,so easy
This was extremely helpful, thank you :)
yeah. you should also note that if we use matrices in Linear algebra or complex analysis, they wont function this way. if we use crammers rule for a three variable we’ll be better off using Gaussian elimination.
I also wanted to show how to find the determinant of a matrix in the video.
So when do you use Cramer's rule?
Cramer's rule is still easy to apply in 3x3 determinants.
Plus, the use of this example in the video made it pretty clear that its target audience is 9th-10th grade students, and not undergrads in Linear Algebra or Complex Calculus courses.
Thanks sir ❤
Make comments let's help the channel grows.
Thank you for your support for the channel. I appreciate it!
@@mrhtutoring You're welcome.
Using matrices are best for computers to deal with many variables.
Exactly!
Bringing back memories of Linear Algebra
I am in high school and like math. Thank you for sharing you knowledge.
Happy to help!
Wow, this saved me to be honest. Thank you.
You are an awesome teacher
Wow, thank you!
Give this man a bells
Thanks for sharing. Keep up the good work!!!
Always learning new things. Thank you Mr H.
Thank you so much, Very very useful!!!
Glad it was helpful!
Wonderful lecture
Many thanks
u r a good teacher
Thank you so much Sir, this is very understandable 💖💖🤭
Nice one sir 💯
Multiply the 2nd equation by -2 to get -2X - 16Y = -4. Add the two equations together to get -10Y = -5Y: Y = 1/2. From the 2nd equation X + 4 =2: X= -2
Да, 7 класс (13 лет) российской школы
Yes, we are together. The simplest and quicker
In India I have a teacher like you
🤭❤️
Go to him then
Very straightforward. Good one daddy.
Looking forward to an example with 3 variables? Thanx.
Sir why(√-2) ×(√-2) not=2 my teacher said me that√-2×√-2=2beacause√a×√b=√ab
Given √-2, one must change it to √-(1x2) then √-1x√2. Since √-1 = i,
(√-2) ×(√-2) beccomes i√2 x i√2=i²√4 = -1√4 = -2.
The negative sign inside the square root must come out first before multiplying the inside.
I hope this helps.
Mr. H. did a video on this...
th-cam.com/video/rn9mr3jzL3I/w-d-xo.html
@@mrhtutoringsir, you solved it in a great method, but please check if I am right:
Given,
√-2 × √-2 = (√-2)²
= -2
@@sumana2908 Yes, that works
Thanks
Mr. H. I wish u were my math professor
Thank you Mr. H.
Mən sizi Azərbaycandan izləyirəm.Hər zaman uğurlar.
Thank you.
Nice example and hope it applies in 3 by 3 matrix
Great vid, many thanks, Sir!
Dear professor good morning sir. Sir please l am really enjoying your classes 👍but there is and area there that l still didn't understand 🙋but sir please 🙏if you don't mind could you please take the lectures all over🙏🙏
Somehow the function RREF of my good old TI symbolic calculator feels more ... convenient.
MR H Tutoring, thank you for the video.
just came to hear the satisfying chalk sound😌
Some haters out there seem to think that you made this 2x2 solution too hard by using determinants. They missed the point. Choosing a 2x2 simplified the process for visual instruction.
You should work a 4x4 for them. 🤣
Thanks for understanding my intention.
I made a video on 3x3, 3 variable, in part 2 video.
Impressive
I have studied mathematics in faculty of engineering very much in details and in highest levels
In fact it was useless during my work over 30 years
Really I didn’t get use of it at all
Now I feel it was just waste of time for a normal mechanical engineer
It could be useful for other fields of engineering like military or space or submarines but not for all fiefs of engineering
Thank you very much! Keep it up
Standard Gaussian elimination requires fewer adds and multiplies.
nice explanation ❤
This man came in clutch 🙏😭
Are matrices new in high school math? We never took them. When did they get added to the curriculum?
Hmm. thought I remembered adding the two equations together to get 3X +14Y =1, but that didn't get me anywhere. I wonder what I was thinking. Oh, I just checked on the "elimination" method. That's easy, but I'm not happy with it. It just doesn't seem right to me that you apply DIFFERENT multipliers to to each equation.. I'll have to see why that is okay before I move ahead. Anyway, I am 85, and I have to thank you for getting me me back to algebra.
Can you explain, how to calculate rank of the matrix in a detailed way.
X=2-8y
2 (2-8y)+6y = -1
y= 1/2
It was super easy!!!!
I wish I learned Cramer's Rule when I took Business Math courses in university along with Gauss-Jordan Elimination and SImplex Method.
Very good thenks
Thanks Mr. H
(2x+6y=-1)-(2x+16y=4)
-10y=-5
y=-5/-10
y=1/2
(8x+24y=-4)-(3x+24y=6)
5x=-10
x=-2
Love your videos prof a request to upload jee related videos
Thank you for this!