Linear Algebra 2e: Confirming All the 'Tivities

[PoisonAlienful]

I was seriously watching untill messi popped up. Youre a very good teacher. Thanks :)

[study]

This is what it means to be a very good teacher. Thank you

[drawer]

Thank you. You do an amazing job of clarifying this subject. Special thanks for not wrapping the big picture in fatiguing notation.

[HiAdrian]

Outstanding. You explain every detail sufficiently, without making leaps a novice couldn't follow. At the same time you don't linger on topics until the viewer's attention fades or they start to forget earlier parts of the lecture (and possibly its context) — my biggest gripe with _Khan Academy_. I really hope I can follow this course through, unfortunately lacking talent in mathematics.

[MrDizzy]

Thanks a lot for these videos. So good teaching, I can't stop watching!

[coobit]

One advice. Add some description for these videos. You have really good presentations and they are not trivial and common on the internet, but to find them.... noooo..

For this particular video it would be nice to have title "intuition behind assosiativity, commutativity and ect."

[ektabansal]

Such a great teacher, thanks a lot sir

[youcannotsaypopandforgetth]

That Messi picture caught me off guard lol

[OrionConstellationHome]

Cool pencils for vectors! I suppose we assume that villages in the example are on the plane surface, not in the mountains. Otherwise on a round planet traveling from one town to the town on the other side of the planet could really be a curve and the straight vector would be similar to a tunel throgh the Earth. O well, people drill tunels in the mountains too.

[abdullahalsawalmeh]

Thank you, you convinced me very good

[kpmaynard]

Prof, I think you can be even more convincing in the distribution proof by invoking similar triangles OA/OA'=AB/A'B'= OB/OB' (labelling the old tips A & B and the new tips A' & B').

[princeabhayyadav]

You could have explained the distributivity in your diagram with the help of similarity... As the direction of vector b is same, the smaller triangle and bigger one are similar to each other and hence the ratio of corresponding sides are to be same

[antonellomascarello]

0:11 : Mathematics in a disciplined way
0:56 : commutativity
3:33 : associativity
8:34 : Important Note (associativity as being more fundamental than commutativity)
9:44 : distributivity
13:50 : Important Note (these 3 properties are absolutely essential to LA)

[foreveryoungs]

Hello, I plan to take your course once the  Lemma system is developed. I have watched some videos so far. Looks good and thanks for making this.

The reason I want to learn Linear Algebra is because it's a requirement for Machine Learning. I also heard that Linear Algebra goes hand in hand with Differential Equations. My Question is, do you also cover Differential Equations? It will be nice to knock both topics in one course.

Once again, thanks for this.

[ninnymonger]

"Tivities" is a very clever name for these properties.

[maxpercer]

Exponentiation is not-associative, (a^b)^c =/= a^ (b^c)

This is clearer if we use function notation.
Define f(a, b) = a^b
Then (a^b)^c = ( f(a, b) ) ^c = f ( f(a, b), c)
and a^(b^c) = f(a, b^c) = f( a, f(b, c) ) .

[curtpiazza]

Wow! Is that a real CHALKBOARD and real CHALK? I haven' t seen those in years! 😊 Great lesson! Thanks!

[samdietterich]

What is with the soccer photo at 6:35?

[caiofdacosta]

Don't talk like that about Wikipedia =(
It's a generally good website!!! For example, this article right here is great & high quality:

[HiAdrian]

Outstanding. You explain every detail sufficiently, without making leaps a novice couldn't follow. At the same time you don't linger on topics until the viewer's attention fades or they start to forget earlier parts of the lecture (and possibly its context) – my biggest gripe with _Khan Academy_. I really hope I can follow this course through, unfortunately lacking talent in mathematics.