We have a two-dimensional feature space. The mean of the samples turns out to be [6,4]....

  

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We have a two-dimensional feature space. The mean of the samples turns out to be [6,4]. The covariance matrix turns out to be [2, 0.5; 0.5, 1]. (a) Determine the principal components. (b) Find the representation of a data point [7, 6 ]' using only the first principal component. Show the actual data point and its representation on a graph and calculate the Euclidean distance between them. We have a two-dimensional feature space. The mean of the samples turns out to be [6,4]. The covariance matrix turns out to be [2, 0.5; 0.5, 1]. (a) Determine the principal components. (b) Find the representation of a data point [7, 6 ]' using only the first principal component. Show the actual data point and its representation on a graph and calculate the Euclidean distance between them.