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I love you scott 😳

OMG!!! I love your videos, scott!

yay!

Hatsoff for your effort and enthusiasm to teach Math. Love your Explaination!!😊

Amazing video: thank you so much

YES!

Down with determinants

they grow up so fast...😿

yay!

I loved your explanation! Thank you so much ❤

You are such a great teacher!!! I've been wondering about abstract algebra for a long time now, and it's great to hear it explained so smoothly, warmly and deliciously.

genuinely perfect

Can’t wait for this Tuesday!!

se ve como el pico

your lecture helps me lot.. thank you😍😍

Respect button ❤❤❤

Wonderful video 👏

The explanation of the procedure is very helpful for me. Thank you.

Number of conjugate classes in S4

I don't know why but I enjoy your videos ...i really hope you were my teacher 2:57

Thank you so much.

ok period

It took me about 7 minutes to find out that this was a combinatorics course! Such a coincidence as my professor was just going over generating functions yesterday in the combinatorics class that I am in!

Is there a continuation to this video as it was cut abruptly? Very nice video still. I encountered Markov chains some years ago (without know much linear algebra really) when I was doing economics, in that example I believe it tried to model people becoming employed or unemployed, very interesting concept. Thanks a lot for the videos!

Excellent lecture

This and part 1 has saved me going into my Abstract midterm! Please keep making videos!

Spectacular video!

Lifesaver!! thanks!

You are an amazing teacher, Thank You.

Hello sir,when is the time to study these knowledge,I am interest the mathematics

SCOTT ANNIN WE LOVE YOU!!!!

Thanks for all your videos! 🎉😊

Excellent video! Many thanks for your explanations! 🎉😊

Thanks for saving my math!!!

Very nice method to check non existence of Hamiltonian cycle by contradiction.👍

Davis Helen Thomas Gary Gonzalez William

Its harder to hear you from further away.

elegance is not part of his math dictionary

It would be interesting to follow if you could improve the quality of the video.

Am the 1st to Comment

It always seemed to me that you should just take a transposition (ab) as the easiest example of how the parity thing works - a transposition is written as a product of 1 transposition, one is an odd number, so a transposition is an odd permutation. Then (abc) = (ac)(ab) therefore 3-cycles are even. The technique of breaking up a cycle into transpositions already implies that the number of transpositions you will get will be equal to cycle length minus one.

Professor Annin, this video just saved me!! This explanation of a 'regular defective' matrix was fantastic. Thank you so much!!

You are a great lecturer. You have made me to fall in love with abstract algebra with your explanation. God bless you. l dont need t memorize anything at all.Woow From Ghana

i love you

how do u have M^ed congruent to C^d mod n?

I am far away but i do hope all the lectures will be recorded and freely published since you are such a first rate teacher. This is my chance to learn differential equations and linear algebra many decades after leaving college. 🎉😊

Professor Annin, you are such a great teacher, how can I audit the class or maybe just follow along on TH-cam. I will order the textbook myself online. 😊

Your explanation is very clarifying! thanks for your help.

If I start with j It's correct or incorrect

Thank you very much for this lesson!