Linear Algebra 2d: Addition of Geometric Vectors

[MrEerwin]

The best math teacher I've ever had. He does an amazing job with tensor calc too. He makes this old English major want to be reborn as a math guy :-).

[PyMoondra]

Watching it for the second time: This series + strang series = gold

[barryhughes]

All praise to you sir and those who have gone before who give of themselves to impart for the love of it. Teachers who an teach to others what they know in a way that can be comprehended by the recipient are rare, particularly in the field of mathematics. All success to you sir and thank you.

[douglasespindola]

Thank you again for your effort in make these videos! Here in Brazil our education goes from bad to worse and to have a masterpiece class like yours is almost impossible. Your classes are a spotlight in the darkness! I wish you all the best, Pavel! I want to be an awesome teacher like you someday!

[kanehooper]

The reason you are such a good teacher is you take the concepts which are usually taught in a purely abstract way and you 1) Actually define the terms you are using; 2) Give context and reality to the concepts so they can be related to real life. By far the best teacher of Linear Algebra I have come across.

[dkmj]

So. I had three years of math at university but never ‘understood’. 30 years later, having chosen a ‘soft’ career outside actual use of math, i come back to the subjects at beginner level and suddenly. Wow. Thanks!

[thefangeddeity]

You are a wonderful teacher. I have had this subject taught to me by great teachers before; my inability to abstract from geometric reasoning caused me SO many problems. And then I hear this explanation, and... I had the power all along. Thank you so much for sharing your knowledge and teaching skill with the world.

[antonellomascarello]

0:13 / 8:46 : geometry vector as vector in the LA sense
0:55: Important Note (do not imagine a coordinare grid)
5:10 : vector addition
6:58 : multiplication by number
9:00 : vectors along one straight line
10:27 : vectors in 3D space

[maxpercer]

Love your real world connection/examples 3:40
The chief could tell the young lad, just keep walking in the particular direction, eventually you will meet it.
As opposed to telling him the distance, which gives you a whole circumference to check. In terms of distance it looks to be more efficient to tell the particular direction and then walk ahead in that direction, as opposed to giving distance.
Also this lesson illustrates, to find a second point relative to a given first point, one requires two parameters.

[bernardofitzpatrick]

Great lecturing style and so clear! Exciting!

[blue_lobster_]

thank you, amazing explanation, may God bless you

[mrspockal]

I just found your videos, and they are great! I think I've learned more in 3 of your classes than I did in an entire college course of linear algebra. The biggest struggle I had with that course was the bad combination of a boring text book and a very boring professor who had the personality of a mortician (no offense to morticians out there). No effort was made to relate the content to anything in the real world.

[wrestpinpeace]

Thank You. My pool game has improved as I watch these and contemplate vectors. Pool must therefore be a Vector Game! 
( It used to be bad teachers who made this class difficult. Now, finally, good teachers are winning back their turf! )

[NutritonFacts]

What a beautiful way to convey the concept, first separating the algebra from geometry and then forcing to interpret the things in pure geometric form without any reference to numbers...

[Kosake]

It's funny that the letters O, R and T form the German word "Ort" which translates to "location" in English.

[old-man-two-ears]

I've learned so much from you I just want to send you some apples, or give you big hug at the end of the year.

[UnforsakenXII]

What if the scalar multiple is the imaginary number i? Does the natural interpretation hold?

[Manu-lcob]

So if the location of a village can be expressed as a degree and a distance, couldn’t these two numbers form a vector ? It’s seems not as they would not hold the scalar rule ( multiplying a degree by a scalar would change the angle) if that is so, what is the intuition to explain that not all pair of number can be thought as vectors in R2

[crocopie]

Hi. I thought the best example would be digging for treasure instead of finding villages because you can always ask the locals or the name would be prominently placed on the village entrance. But looking for treasure...aye matey, takes work to get Blackbeard's doubloons!

[wilsodj]

These adds that you can't skip that are over a minute long are pretty frustrating.