I came here just to say that I enjoyed learning with you , you are brilliant and you know how to make us love what we do ❤️
@itzritam21275 ай бұрын
love from India. Your videos are really helpful for our engineering and statistical entrance examinations.
@crimfan4 жыл бұрын
That's super clear and connects really nicely with the exponential representation because the angles add.
@crimfan4 жыл бұрын
@@DrTrefor I figured that's where you were going but this setup of why complex numbers are indeed different from just any other vector space is super well-explained. The correspondence with a two-dimensional vector space that has an additional property is really clear.
@MyMathsAdventure4 жыл бұрын
Moving onto Argand diagrams, the next chapter after Complex Numbers in my textbook. So great video to plugin any gaps before then 👍🏼
@lavinnasays Жыл бұрын
Oh my goodness. This video deserves way may more views. Thank you.
@goalpost23263 жыл бұрын
I just wanna appreciate your effort 💝 Good job Sir.
@siddharthpandeyy4 жыл бұрын
Excellent way of explanation Sir.
@itskarim72565 ай бұрын
Extremely underrated👏👏
@eliasvandenberghe21962 жыл бұрын
God damn, never thought anyone could entertain me with geometry.
@nuhserkanelvanoglu7351 Жыл бұрын
The change of shirt was funny 😅
@RubALamp4 жыл бұрын
Hey. Great video as always. You always deliver. However, have you considered investing in a mic? I don't mean to sound rude of course, but your videos could benefit with better audio quality. Thank you for your content!
@RubALamp4 жыл бұрын
Trefor Bazett Of course I understand if it can't be improved at the moment. High quality audio can be a pretty expensive investment, and in the end it's only just a plus, nothing necessary. As stated, your videos are great regardless of the audio :).
@crimfan4 жыл бұрын
@@DrTrefor A good podcasting mic on a mic stand would help a ton. Putting it in mono cardiod mode would catch your speaking very well. There are many of them available, though in COVIDpocalpyse they can be sometimes a bit hard to find. A mic stand is easy to get. An alternative might be one clipped to your shirt. I think there are wireless options available.
@visualgebra4 жыл бұрын
So Helpful ever ....................
@visualgebra4 жыл бұрын
@chidambaranathan s Fine brother
@HDitzzDH4 жыл бұрын
So essentially, graphing complex numbers is the exact same as vectors in linear algebra, just plot each component in their respective axis.
@johubify4 жыл бұрын
Great Video! I studied Complex Numbers in maths, and then Vectors in Details in Physics The resemblance between theme is shocking What's that about, can anyone explain?
@johubify4 жыл бұрын
@@DrTrefor that is really true sir, but suppose we multiply 6+i to 6-i, we get 35 which is actually a real number in pure sense Now the thing that amuses me is that when we multiply two vectors we can either get a scalar or a vector Similarly, when we multiply two complex numbers we can get a real number or a complex number, making them really very similar! But all this is overshadowed by the fact that real numbers are a subset of complex numbers
@physicslover19504 жыл бұрын
@@johubify Yup nice approach thanks a lot.
@johubify4 жыл бұрын
@@physicslover1950 you're welcome Physics lover
@thingintresting5495 Жыл бұрын
8:50 no , multiplication by real number also results in Rotation. Check it by taking -1 and every number is a complex number as it can be represented in the Mathematical form of typical complex number.
@katiatzo Жыл бұрын
Thank you !
@MikeyBarca0211 ай бұрын
Short question, I'm a bit rusty with this so this question might sound a bit silly. But on 6:05 we called the horizontal length the cos and the vertical length sin. Now doesn't for example cos(alpha) tell us what the Adjacent side divided by the Hypotenuse equals? And that number is the ratio of the two and not the adjacent side only so why can we call the horizontal line the cos by itself?
@physicslover19504 жыл бұрын
Please also make a video on how to visually evaluate the powers of iota with shortcut and in an instant 💚
@arsenalaman64934 жыл бұрын
Wow its really amazing sir Thank you sir
@Loots14 жыл бұрын
you beat me :(
@Loots14 жыл бұрын
@@DrTrefor thank you good sir :)~ keep up the good work
@wakeawake29504 жыл бұрын
Do that trig property stands for more that 2 angle? By the way great video! 👌👌👍👍
@ogunsadebenjaminadeiyin27294 жыл бұрын
Great video. Merci
@ogunsadebenjaminadeiyin27294 жыл бұрын
The sound is hard to decrypt. You've got much bass (low/deep pitch) in your voice. You might consider using and (pre-)amplifier to fine-tune your audio.
@reyadhalaraibi35294 жыл бұрын
Great video!
@zenicv26 күн бұрын
I wish someone explained to me like this in 1st year electrical engg. class (noone did and now i understand)
@happylife-lu7lo4 жыл бұрын
Great video, please can u make a course on number theory and thanks
@physicslover19504 жыл бұрын
Wao sir that was amazing . Thanks a lot. The strecting and conpressing concept was awesome . Sir I want to tell you that yesterday I read a topic of triangular inequality from the book of Dennis G Zill. It said that let z and z' be two complex numbers . Then |z+z'| < & = |z|+|z'| |z-z'| < & = |z|+|z'| |z-z'| > & = |z|-|z'| I think the last one is the most important result. This result must have a nice visualization . I hope if you also make a video in complex numbers playlist on this topic of mods | | . Well I have a good suggestion what if you can somehow download the pdf of FUN WITH TRIGONOMETRY by Vitthal B Jadhav. That book is very colorful and illustrates concepts visually. But unfortunately we can't afford that book. I would be very thankful to you if you either share me the pdf via email or make a video series on trigonometry after reading that book. 💚💚💚
@christinanessie44289 ай бұрын
Hi, I think you meant to say green -1+2i instead of yellow at --4:43-- -- this threw me off a little
@Anonymous-nz8wd4 жыл бұрын
Great video, but I have a question! why complex Eigen Vectors doesn't have invariant sub-space, according to the definition of Eigen Vectors it must be invariant or in the span but why not for Complex Eigenvalues?
@vannya36 Жыл бұрын
i am also curios about it, did you find an answer to your question? If so, can you share it in your comment?
@mr.p2665 Жыл бұрын
Shinuhowa e waaa
@himanshuchauhan940 Жыл бұрын
I have a doubt , please anybody help me to resolve it ,why imaginary axis is is perpendicular to real axis