Conceptually, calculus we just have to be good at the mechanics of what you're doing to solve the problems. Linear algebra is the opposite. Conceptually it's very hard, but the mechanics aren't hard.
Fantastic. If people are struggling with LA or enjoy it, like myself. There is a good complementary Linear Algebra book that I got recently. It's 3000 solved problems in Linear Algebra (Schaum). If people are interested of course.
For the (AB)C= A(BC) part, My classmates and I kept using a variable on top of the summation and it kept throwing us off a bit. I notice you dont write anything above the sum, does this mean something when it is absent?
When the bounds of summation are omitted, this signifies that the summation is over all possible logical values of the index of summation in the given context. This is to make the solution slightly lighter.
Could it also be added to the cautions at the end that, if the matrix product AB equals the zero matrix, then neither A nor B is necessarily a zero matrix?
Conceptually, calculus we just have to be good at the mechanics of what you're doing to solve the problems.
Linear algebra is the opposite. Conceptually it's very hard, but the mechanics aren't hard.
omg u sir are a genius and a hero. there needs to be more of u on this earth
Phenomenal video. I have watched every video in your L.A series up to this one
MY GOD. your finish work. just watched this and was impressed. you deserve a bottle of beer on me.
Cheers!
Thank you very much for the clear step by step proof of Associative Laws of the matrix A(BC) = (AB)C.
It is quite a shame that it is often overlooked.
Thanks you explain it so well. Got yourself a new sub.
Thank you my dude!
Calc 3 was a breeze, linear algebra is kicking my ass though. Thank you for this.
James Corey same here man
Just use your mithril seeds to get away
@@EllisAlcantara lmao
Take a shot every time he says interesting :) btw thank you so much for a really helpful tutorial . I really appreciate it !!
Glad you found the video useful and remember to drink responsibly. ;-)
thnk u soo much u all what i want to learn a; ganna see all ur videos
Thank you sir. It’s very helpful.
Fantastic. If people are struggling with LA or enjoy it, like myself. There is a good complementary Linear Algebra book that I got recently. It's 3000 solved problems in Linear Algebra (Schaum). If people are interested of course.
hi, if you're reading this I would like to know more about that book.
Good job
You sir, are a genius.
I appreciate the sentiment, but I am just someone who likes math! :-)
Thanks sir
For the (AB)C= A(BC) part, My classmates and I kept using a variable on top of the summation and it kept throwing us off a bit. I notice you dont write anything above the sum, does this mean something when it is absent?
When the bounds of summation are omitted, this signifies that the summation is over all possible logical values of the index of summation in the given context. This is to make the solution slightly lighter.
all the illusion or complex or unresolved or curiosity or undetermined or anything unexplained is here
Could it also be added to the cautions at the end that, if the matrix product AB equals the zero matrix, then neither A nor B is necessarily a zero matrix?
That is true. These types of issues become clearer after studying the notion of invertibility.
Why isnt he putting a variable on top of the summation notation?
cuz it means its gonna iterate through every index until there are none left.
cancelation law works for matrices addition/sub but not for multiplication in genral
Yep.
All I learned is you have nice hand writing
Big hand blocking the screen :) Kidding! Thanks.
please can you solve this for me ;A^3 + 2A^2 - A - 2I = 0