Prof Dave, thank you so so much! You literally helped me survive my first year of engineering (calculus, chemistry, and physics) and now I'm back for my second year! Your visuals are so amazing and they make everything super easy to understand!! I just want to let you know that you're doing amazing work and we stem students appreciate you so much!
My professor hasn't lectured all semester and just pointed us at the textbook, and this was the last topic I didn't fully get on my own before our exam today. You're a lifesaver.
I have a PhD in math but professor Dave is so much more well rounded than myself. He's doing matrix algebra here and I'm using his videos to get the gist of population evolution and abiogenesis.
Prof Dave: I am currently doing self-study of every math course required for an undergraduate math program and I was having a hell of a time understanding fully how to perform diagonalization! I have read countless textbooks' sections on diagonalization and watched several other videos. I took thorough notes from your mini lecture, followed along with you on the example and am stoked to say I was able to go through the example problem at the end and got everything right. ALSO...nowhere else has anyone mentioned to ALWAYS choose x2=1. That tiny detail helped make everything else click and I agree with you that the process of diagonalization is in fact easy, albeit time-consuming. I cannot thank you enough for this! The way you go through and show every single detail is a TREMENDOUS help! I really appreciate you!
T - 7:17:00 until the exam, thank you! Learned what was chaotically taught in two weeks in under two hours with notes taken and examples calculated by watching two of your videos. The 222 (*3 :])
How is it that I sat through two lectures on diagonalisation and it hardly made sense, yet after watching this video the entire concept could NOT be any simpler?? Actual lifesaver, I'm defs getting 100% on my linear algebra quiz tomorrow
Great video! This helped me so much. I know this is a little late but I just wanted to point out that instead of calculating X inverse to check your answer at the end, you can simply check to see if AX = XD . This is much easier if you are asked a similar question that uses nxn matrices where n > 2 as the computing the inverse becomes more annoying as n increases.
THANK YOOUUU SOO MUCH ... HOLY it's people like you why I'm able to go back to school and have hope.. keep doing what you're doing you're helping the mental health of people everywhere... I was so depressed... cause I can't get this and my finals consist mostly of this ... this really helps.. thanks so much.
Quick thank you to Professor Dave and others like him for the fact that i can just type in a subject i want to learn about and i easily find a few minute video about it that is easy to understand :)
I reading my linear algebra book but i cant comprehend .Looking for several videos but im still confuse halfway.. This is the video that enable me to understand it clearly. Thanks Dr Dave.
Very helpful. Just a tip, I find there is a bit too much talking in reference to general examples and I tend to get confused and loss. Jump to numerical examples quicker in my opinion could work out better in terms of comprehenion, IMO ofc...
thanks for the learnings prof dave. But i would like to see the 3x3 matrix happen when you have both 2 rows are all zeroes.. Thank you. I hope you will notice this.
The values in D are the eigenvalues, order them from lowest on the top left to highest on the bottom right, following the diagonal :) (As shown from 7:58 and onwards)
I can see some light for my engineering degree because of you. Could add one video for change of basis in linear transformation. I feel abstracts with my university resources.
Thanks prof. Dave for your amazing comprehensive but precise talk on linear algebra. In this particular video why are we supposed to take X2 equal to 1 for every time as you were taking? Is this a free variable that allows us to assign any value to it or just for ease calculation as well! Thanks in advance.
@@tinyasira6132 its because it is a free variable, if you reduce to echelon form you'll see that the only pivot will be x1, therefore the x2 will be a free variable.
When I multiplied X^-1DX, the result was not A it was A with the -1 and 2 switched places. Did I do something wrong or is this how it is supposed to be?
![BOWKYLION - วิงวอน (ex-change) [Official MV]](http://i.ytimg.com/vi/cLdnZWDaO-w/mqdefault.jpg)
![Diagonalizing 3x3 Matrix - Full Process [Passing Linear Algebra]](/img/n.gif)
This man really just explained 2 weeks worth of content in 8 minutes, what am I paying all this tuition for 🙃
the degree dummy
no fr
The piece of paper
@@inquisitionagent9052
Mmm mm
Really 🔥how effective this is 💯
Sir I'm from Nepal ,because of your tutorials I'm able to grab schlorship of $35K . thanks sir
That's amazing brother. Kun thau ma k ko payeko ho? Anyway congratulation dhilai vayeni hai. Jay Nepal
Professor you're really supercalifragilisticexpialidocious
Prof Dave, thank you so so much! You literally helped me survive my first year of engineering (calculus, chemistry, and physics) and now I'm back for my second year! Your visuals are so amazing and they make everything super easy to understand!! I just want to let you know that you're doing amazing work and we stem students appreciate you so much!
Congratulations professor Dave for becoming a father!
Did he really ?😮
late...
My professor hasn't lectured all semester and just pointed us at the textbook, and this was the last topic I didn't fully get on my own before our exam today. You're a lifesaver.
Lemme hit🤤
I have a PhD in math but professor Dave is so much more well rounded than myself. He's doing matrix algebra here and I'm using his videos to get the gist of population evolution and abiogenesis.
Yea idk how he knows all the physics and math at a level he knows
This is always a hard topic to teach. This is straight forward and clear. Great video!
Prof Dave: I am currently doing self-study of every math course required for an undergraduate math program and I was having a hell of a time understanding fully how to perform diagonalization! I have read countless textbooks' sections on diagonalization and watched several other videos. I took thorough notes from your mini lecture, followed along with you on the example and am stoked to say I was able to go through the example problem at the end and got everything right. ALSO...nowhere else has anyone mentioned to ALWAYS choose x2=1. That tiny detail helped make everything else click and I agree with you that the process of diagonalization is in fact easy, albeit time-consuming. I cannot thank you enough for this! The way you go through and show every single detail is a TREMENDOUS help! I really appreciate you!
I am from South Africa, because of you i have managed to get My Degree. Thank you so much
Prof Dave is great at teaching, but it’s really the editing that makes these videos so easy to understand.
daaaain!!!! you are also a monster!!!
T - 7:17:00 until the exam, thank you! Learned what was chaotically taught in two weeks in under two hours with notes taken and examples calculated by watching two of your videos. The 222 (*3 :])
How is it that I sat through two lectures on diagonalisation and it hardly made sense, yet after watching this video the entire concept could NOT be any simpler??
Actual lifesaver, I'm defs getting 100% on my linear algebra quiz tomorrow
Great video! This helped me so much. I know this is a little late but I just wanted to point out that instead of calculating X inverse to check your answer at the end, you can simply check to see if AX = XD . This is much easier if you are asked a similar question that uses nxn matrices where n > 2 as the computing the inverse becomes more annoying as n increases.
XD
@@chimphead73 LOL!!!!!!!!!!!
thank you professor.
every teacher must see you videos first to be qualified for teaching
THANK YOOUUU SOO MUCH ... HOLY it's people like you why I'm able to go back to school and have hope.. keep doing what you're doing you're helping the mental health of people everywhere... I was so depressed... cause I can't get this and my finals consist mostly of this ... this really helps.. thanks so much.
Taught the entire concept so easily. WAY BETTER THAN MY T100 UNI LECTURER
Universities around the world NEED professor like you.
I'm currently binging as many linear algebra videos as i can for an upcoming final and i gotta say, yours is really really good.
كل مرة بحضر فيديوهات للبروفيسور بطلع فاهمه، طريقته بالشرح مثالية
، ممتنه جدا
Professor Dave will go down in history as one of the greatest legends of all time.
Hi Professor Dave! You helped me sooo much before my test! U saved me and my classmates!
This definitely simplified everything that was taught to me in my class lecture. Everything is super clear now. Thank you so much!
You're such an incredible teacher! Textbooks are so esoteric where your videos are so accessible :) thank you for your work
7:41 "so, lets check comprehension" wowww, never seen that part in any other video. awesome, thanks a lot for including that :)
Congratulations for you job, Professor Davis. You make mathematics easy to understand. I wish you were my teacher.
Quick thank you to Professor Dave and others like him for the fact that i can just type in a subject i want to learn about and i easily find a few minute video about it that is easy to understand :)
This is indeed a pure gem! Thank you for posting it 👏
I reading my linear algebra book but i cant comprehend .Looking for several videos but im still confuse halfway..
This is the video that enable me to understand it clearly.
Thanks Dr Dave.
P.S. in 6:45 ( A= X-1 D X ) is known as eigenvalue decomposition
Thanks Mr Dave for making the topic so easy😊
Thank you, Prof Dave. This video made me clear in this topic otherwise some of text books written in Japanese are so hard to understand for newbie.
You saved me a lot of time Dave. Thanks for the incredible video series.
Your videos are excellen. In my native language: Sus vídeos son excelentes. Thanks a lot
sus
i m from kerala , india
Well class
Thank you sir,
☺️
I'm from tamilnadu 😂
I don't understand anything 🤯😭😭
Very helpful. Just a tip, I find there is a bit too much talking in reference to general examples and I tend to get confused and loss. Jump to numerical examples quicker in my opinion could work out better in terms of comprehenion, IMO ofc...
Sir, you saved my life
Thanm you so much sir.. This is another vedio I understood whole concept from you.. you are such a prolific teacher.. Wooh!
loved the video. thank you for saving my academics.
Thank you! I can't understand why professors complicate things so much!
Where was this series the beginning of the semester? I now have to cram so much information the days before my final.
thanks for the learnings prof dave. But i would like to see the 3x3 matrix happen when you have both 2 rows are all zeroes.. Thank you. I hope you will notice this.
This was honestly so good. Thank you.
best explanation i ever seen entire TH-cam videos !!!!
I have question does D has to be in order of
1 0
0 2
or it doesn't matter if it was
0 2
1 0 ?
The values in D are the eigenvalues, order them from lowest on the top left to highest on the bottom right, following the diagonal :) (As shown from 7:58 and onwards)
@@Entervation thnx a lot
Linear Algebra - Ego = Professor Dave. You are fantastic. Thank you.
4:13 , why did you choose x2 = 1, why not x1 = 1?
If we take x1 = 1 will our answer be the same ?
Professor Dave casually saving everyone's ass again this year
I can see some light for my engineering degree because of you.
Could add one video for change of basis in linear transformation.
I feel abstracts with my university resources.
I did that! Check the linear algebra playlist.
great explanation. Thank you so much
Thank you professor dave
Just thank you
You are saving me from failing my math class
Please why do you normally choose X2=1
I don’t get that part
I go to class for attendance and come here for the material.
amazing how an 8 minute video explains everything that an university teacher cant in 2 hours
You are so good at what you do. i hope I become like you in terms of teaching! So cool!
Thank you so much professor for your explanation. Good luck
Great explanation sir
Thank you so much , this is the best i’ve found !
God Bless you Sir
Professor Dave rocks🤘🤘
Thanks
amazing I understand BST ❤ thnks
great explaination
Nice explain sir i love it😍❤
My brain hurts
Perfect
Your teachings are so awesome sir thankyou
excellent explanation
How did you just make me understand this so easily :D
Thank You!🥰🥰
Thanks so much prof
dzięki
Great explanation! Thanks!
very clear explanation!
Please make a video on exponential matrix
excellent sir
Thank you so much 🔥❤️perfect explanation 💯
Wow thank you, I finally understood this stuff
very clear, thank you
@4:48 Why can we just choose x2 = 1? Don't you get x2 by subtracting 5x and dividing 4 giving you x2= 5x/4 ?
Did you get your answer?
Thanks prof. Dave for your amazing comprehensive but precise talk on linear algebra. In this particular video why are we supposed to take X2 equal to 1 for every time as you were taking? Is this a free variable that allows us to assign any value to it or just for ease calculation as well! Thanks in advance.
did u get this ans? i wanna know too
@@tinyasira6132 its because it is a free variable, if you reduce to echelon form you'll see that the only pivot will be x1, therefore the x2 will be a free variable.
you're amazing thank you so much
Really talented.keep it up.
THANK YOU
Can't thank you enough.
I even don't know y am paying tuition at makerere university
for A = [6 , -1, 2, 3], I got D = [5, 0, 0, 4]. X = [1, 0.5, 1, 1] instead of D = [4, 0, 0, 5] X= [0.5, 1, 1, 1].
Does choosing eigenvalues matter? lile lamda1 = 4, lamda2 = 5, instead of lamda1 = 5, lamda2 = 4
it has no impact as long as the order of your eigenvalues and eigenvectors correspond which you seem to have done right
Thank you so much Sir.../\ It is so easy to understand your explanations Sir...
It really helps me! Thanks a lot!
Great Professor
Thank u professor
thanks sir
thank you so much!
Super video!
Bro u saved meeeee!
I love your content so much !
thank you so much!!!!
thanks prof dave, although i'm lost as to how and why i need to know this for my industrial engineering diploma.
thnak you so much
what is the rule behind choosing x2 to equal 1?
Diagonal matrices have many applications in computing.
When I multiplied X^-1DX, the result was not A it was A with the -1 and 2 switched places. Did I do something wrong or is this how it is supposed to be?
It was X(D)X^-1 as matrix multiplication is not commutative