Linear Algebra 27 : Gram-Schmidt Process

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In this video I talk about the Gram-Schmidt Process. Last time we talked about Orthonormal Bases, which are bases where all vectors have length 1 and are orthogonal (Perpendicular).

The Gram-Schmidt Process takes a set of vectors that are linearly independent and defines an Orthonormal Subspace from them.

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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.

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Hey derek couple of questions...

10:50 why would it be V1 times V2 and not U1 times V2?
11:13 you say (U1)^2 but then use (V1)^2, I believe if it was U1 squared it would come out to be 3/1

ThuBomb
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Thank you very much Mr. Banas for another great video. May I point out that the Python bootcamp offer expired some eight days ago. Thx

jonatantisnado
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Hi Derek, awesome to see math videos as well as CS ones. Would you be able to tell us what software you used for your “blackboard” and for screen capture? Much appreciated!

resnanc
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Whats the plan with the math series Derek? Is there going to be a calculus series after this, and then a machine learning?

definty