4. PC with images. A dataset has 1000 images of size 28 x 28, represented as python array x with shape (1000, 28 , 28). You are given the following python functions: Y = reshape (X, shape) рса %3D...

Extracted text: 4. PC with images. A dataset has 1000 images of size 28 x 28, represented as python array x with shape (1000, 28 , 28). You are given the following python functions: Y = reshape (X, shape) рса %3D РCА(n-components # Reshapes X to a shape nc) # Creates a PCA object рса. fit(Y) # Finds the mean and PCs from training data Y Z = pca.transform (Y) = pca.inversc.transform (Z) # Find coefficients in the PC basis Yhat # Invert the PC transform Write a few lines of python code to (i) fit a PC model from the first 500 images with 5 components; and (ii) create an array of approximations of the remaining 500 images.