Principal Components AnalysisConsider the following design matrix, representing four sample points X¡ € R².X =[41]235 4We want to represent the data in only one dimension, so we turn to principal components analysis (PCA).(1)Compute the unit-length principal component directions of X, and state which one the PCA algorithm wouldchoose if you request just one principal component. Please provide an exact answer, without approximation. (You willneed to use the square root symbol.) Show your work!

In machine learning and statistics, principal component analysis (PCA) is a dimensionality…

Answered: Consider the following design matrix,…

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