Module 10 · Project 6 · Due the date on Canvas · PCA & Dimension Reduction · adaptive competency DV18
A little linear algebra—only what PCA needs
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Begin with the five-minute linear-algebra refresh.
Module 10 · Step 1 of 9 · Watch5–8 min
A vector is a point with direction and length. A dot product measures alignment. A projection asks: “How much of this point lies along this direction?” Move the axis and watch those ideas become PCA.
Vector\(\mathbf{x}=(x_1,x_2)\)
Dot product\(\mathbf{x}^{\mathsf T}\mathbf{u}\)
Projection\((\mathbf{x}^{\mathsf T}\mathbf{u})\mathbf{u}\)
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