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The Unexpected Power of Orthogonal Matrices

ritvikmath 6,443 2 years ago
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My Patreon : https://www.patreon.com/user?u=49277905 PCA Basics Video : https://www.youtube.com/watch?v=pmG4K79DUoI PCA Math Video : https://www.youtube.com/watch?v=dhK8nbtii6I Coding PCA Video : https://www.youtube.com/watch?v=l_zvHLIJ53w 0:00 Intro 1:17 Definition 3:28 Inverse Convenience 6:31 Types of Orthogonal Transformations 10:11 Application to PCA NOTE: I meant to say "orthogonal" instead of "linearly independent" in the verbal definition. Orthogonal means that the dot product between two vectors is 0 but linear independence means that one vector cannot be expressed as a linear combination of another vector. Thanks to some viewers for pointing this out.

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