I came here because I read about Householder transformations and immediately thought "What is so special about these things? Why don't they just call them 'reflections'? What other magical properties do they have that merits not just calling them 'reflections'?" Your video has correctly shown me that the answer is "nothing at all", maths just can't resist a fancy name and an unnecessarily complex definition in place of an intuitive explanation. By the way-my God, I love advanced topics in linear algebra! Let's go all the way with this course!

This is what I wanted. Amazing sir.

These videos, their website, and their textbook are absolutely amazing! They have changed my life and greatly advanced my understanding of linear algebra. Thank you!

what a beautiful and simple explanation!!! Thank you sir!!!

excellent video, thanks

thank you very much !

You taught so beautiful, thanks.

very nice!!!!!!!!!!!!!!!!!!!!!

perfect explaination

That's so clear! Save my day! Can't express my thx enough!

Great sir ❤🇮🇳

Thanks man! The material from my university couldn't make me understand this (now beautyfully simple) topic. Have a good day and happy new year :D

You are an absolute fooookin legend.. Who ever this guy Robert de Geijn is I want to say thanks lol

thats a spicy intro

This is a must for geometers, engineers, and mentats alike.

what is the u dot product

Somehow reminds me of Bob Ross, but with math

What does the H represent in u^H ??

You explained well. but mixed sum basic concepts like why we get dot product.