Question: use python Problem 1: (PCA on Olivetti dataset) Load the Olivetti face images dataset from sklearn. (sklearn.datasets.fetch_olivetti_faces). Vectorize the images and apply PCA Plot the

use python Problem 1: (PCA on Olivetti dataset) Load the Olivetti

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Problem 1: (PCA on Olivetti dataset) Load the Olivetti face images dataset from sklearn. (sklearn.datasets.fetch_olivetti_faces). Vectorize the images and apply PCA Plot the eigenvalues. Display the mean image and first 20 principal components. Represent a face image using different numbers of principal components (say, 5, 10, 40, 200) and compare the representations with the original image. Use scatter plot to represent all images on a 3D space using the first 3 principal components

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