Abstract Linear Algebra 16 | Gramian Matrix

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This is my video series about Abstract Linear Algebra. We will discuss abstract vector spaces, abstract inner products, the change-of-basis matrix,different bases, polynomial spaces, and so on. I hope that it will help everyone who wants to learn about it.
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[@StratosFair]

thank you for the nice video ! the way i would show the invertibility of the Gram matrix is by proving that its positive definite (using positive definiteness of the inner product), but your proof is also nice :)

[@DipsAndPushups]

Excellent video. Thank you! I have to rely on youtube so many times because often I don't understand what my textbook says.

[@brightsideofmaths]

Glad it was helpful! Please consider supporting me such that I can create more videos like that :)

[@tomaszkakol1711]

Hi!
I've been really enjoying your content on various math subjects, but I was wondering (since you are a physicist) if you have done similar videos related to physics?
Massive thanks for your work so far! :)

[@brightsideofmaths]

Not yet. I am mostly a mathematician but physics videos will also come :)

[@tomaszkakol1711]

@@brightsideofmaths looking forward to it then. Thanks again and have a nice day!