Orthogonal Projection of Vectors | Linear Algebra

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We introduce the orthogonal projection of a vector u along a vector a, and discuss the vector component of u orthogonal to a. We will decompose u into a sum of a vector parallel to a and a vector orthogonal to a. We see how this works in the plane and then generalize to higher dimensions and do an example of finding the orthogonal projection of a vector and the vector component orthogonal to a given vector in R^3. #linearalgebra

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Outro music by Ben Watts and is available for channel members.

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Please consider joining as a Channel Member to help support the production of this course, get early and exclusive videos, and lecture notes at the premium tier!

WrathofMath
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You are such a good looking liar. You saud your calligraphy was worse year ago. I searched for your first video. It was not bad. But not as good as nowadays. Anyways, still at least A-tier calligraphy! Now it is S-tier!!!

samueldeandrade
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Projection of vectors? More like "Perfect lectures!" 👌

PunmasterSTP
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Very clear, I really appreciate the way you explain things.

Tom-udjs
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Amazing explanation! Thanks. This playlist is incomplete without a video on SVD. Unleash the wrath!

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