Question: Given three data points: (-1,-1), (0, 0), (1,1). (a) (10 points) Show the first Principal Component (actual vector) without using Eigendecompo- sition. Justify your

Given three data points: (-1,-1), (0, 0), (1,1). (a) (10 points) Show the first Principal Component (actual

Given three data points: (-1,-1), (0, 0), (1,1). (a) (10 points) Show the first Principal Component (actual vector) without using Eigendecompo- sition. Justify your answer. (b) (10 points) If use the 1st principle component to transform the data into 1-d space. What are the new data?

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