The Unexpected Power of Orthogonal Matrices

My Patreon : https://www.patreon.com/user?u=49277905 PCA Basics Video :    • Basics of PCA (Principal Component Analysi...   PCA Math Video :    • Principal Component Analysis (The Math) : ...   Coding PCA Video :    • Coding PCA from Scratch : Data Science Code   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.