a$.$ One potential project idea could be to use PCA to analyze a dataset of and identify

the dominant styles or themes present in the images. This could involve applying PCA

to the pixel values of the images to extract the underlying visual features, and then

using the principal components to cluster the images based on their visual

characteristics.

b$.$ How would you creatively apply PCA to this dataset to generate visually stunning

and unique abstract representations of the exhibition? Analyze the steps you would

take and the artistic choices you might make in the process.

c$.$ For various numbers of eigenvectors, reconstruct the original images and calculate

the reconstruction errors. Analyze the strength and limitation of PCA.