Isomorphism

Casually reveals another whiteboard

When proving T to be 1-1 He proves by example,
Shouldn’t he generalize it to all p? What am I missing?

For the last method to determine isomorphism how do we know dim(P2) is 3?

This guy is so delightful. Love it!

I love ur energy, thanks for helping me understand this! Finals in 2 days haha

Everytime I try to view it I laugh and switch off. May be because I am not up to it.

This helped me alot ❣️

This has been so helpful for me today thank you!

I would love a video on Isomorphism Theorems

FACT
Dr Peyam is AMAZING

You are a math god thank you so much

So is the second condition the same as linear independence or is it a coincidence?

In other words can we say that a linear transformation is 1-1 if the transformed bases are linearly independent?

What an styel your teaching..❤

Thanks. Question : an linear application is always onto and one to one ?

U r cool man!
Keep going!




Fighting!

You’re great 👍🏻

But, in group theory, they ask for more to declare an isomorphism. Specifically, what operation corresponds to what operation in each group.

Have you considered doing analysis videos?

thanks

Thank you. I really appreciate your videos Dr Peyam.


Btw, I just realized that it is Dr Peyam not Peynam lool

Thanks a lot Dr peyam, really needed this

Have you upgraded your camera? The frame rate seems higher and graphics is clearer. Also you have a nice angle, this lecture room is nice

I didn't quite understand, is it enough to show T(p) = 0 => p = 0 for the 1-1 ?
Why so , is there some kind of theorem that I'm forgetting?

I have been wondering:
I’ve come up with a continuous function from [0,1] to (0,1). y=sin(1/(1-x))) if 0<=x<1 and 1/2 if x=1. (I know it’s not linear but these aren’t vector spaces so idk. :/) And there’s a continuous function from (0,1) to [0,1], y=0 if x<1/4, 2(x-(1/4)) if 1/4<x<3/4, and 1 if x>3/4. However, these are not inverses and I don’t know of any invertible function between these 2 sets. Are the sets ((0,1) and [0,1]) isomorphic?

I had my group theory exam this morning, just missed out :(

Another fron Group Theory.

Peyam Boss