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an introduction to Principal Component Analysis (PCA)

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Algebraic definition of PCs<br />

Likewise, define the k th PC of the sample<br />

by the linear tr<strong>an</strong>sformation<br />

where the vec<strong>to</strong>r<br />

λ<br />

is chosen such that<br />

is maximum<br />

subject <strong>to</strong><br />

<strong>an</strong>d <strong>to</strong>

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