15. Symmetric Matrices, Spectral Ideas, and Applications

Principal Component Intuition — Quiz

Test your understanding of principal component intuition with 5 practice questions.

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Practice Questions

Question 1

In principal component analysis, what does the first principal component usually describe?

Question 2

Why do we often center data before applying principal component analysis?

Question 3

How are different principal components related to each other in the standard PCA setting?

Question 4

In principal component analysis, an eigenvector of the covariance matrix is best thought of as what?

Question 5

If the first principal component explains $80\%$ of the variance, what does that mean?