Linear Algebra 13 : Linear Transformations

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In this video I cover Linear Transformations, Functions, Domains, Codomains, Preimage, Image, Range, and how to Map vectors in different subspaces. Yes a lot is being covered in this video!

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ALGEBRA YOU NEED TO KNOW

Linear Algebra is an essential branch of mathematics in the fields of chemistry, computer graphics, physics, economics, statistics, machine learning, engineering, etc.

It is used to model many types of natural phenomena, create unbreakable cryptography algorithms, maximize yield in agriculture, make stock market predictions, improve file compression, make complex calculations effortlessly and it is a core part of Google page rank.

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THANK YOU TO MY PATREON SUPPORTERS LIKE :

[jawuku]

Hi Derek, I'm enjoying your series. I just wanted to ask one question. In the section "What Vectors Map to Other Vectors" at time 11:05, you put a matrix [1 2; 2 4]. Is this just an example, or do we deliberately use a linearly dependent matrix to solve this?

[lorenbeall]

Hi Derek, thank you for your helpful videos. I just want to ask if you are willing to make videos about Artificial Intelligence after that.

[Angeal]

If only you made that 2 years earlier, when I had this in my uni... Now it's practically useless to me, but still interesting.