Linear Algebra 3 | Linear Combinations and Inner Products in ℝ²

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Thanks to all supporters! They are mentioned in the credits of the video :)

This is my video series about Linear Algebra. I hope that it will help everyone who wants to learn about it.

#LinearAlgebra
#Vectors
#Matrices
#MachineLearning
#Eigenvalues
#Calculus
#Mathematics
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(This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)
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This is a great explanation of Linear. I tried to learn via 3b1b's video series, but I like yours better because they feel more geared toward math majors, with proper notation and less abstract metaphors! Great stuff!

sylvanfranklin
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You have a great voice and explanations

gradientcube
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Thank you so much 🙏🏻 you explain so well that a highschool student can easily understand! Thanks again ❤️

.Q
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The way you presented the orthogonality around timestamp 6:07 is interesting. Is there a relationship between orthogonal vectors and the Cauchy-Riemann equations? And later again at timestamp 7:53 when I see the u1v1 + u2v2 = 0 equation, I'm reminded of some PDE's like Laplace's equation or something. is there a connection there that you are aware of? Perhaps between the concept of orthogonality and PDE's? if so, can you help me identify the connection or at least point me in the right direction so I can read about it or ponder it in more detail.

nucreation
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2:00 superscripts instead of subscripts?

maxpercer