Consider an mnist dataset. How many eigenvectors are needed to capture the $99\%$ of the total variance of the data? Plot in python the average reconstruction error for each digit class separately as a function of eigenvectors. Comment on your observation. Ensure that the code ACTUALLY compiles and produces plots. This help above was not able to compile, had errors and didn't produce plots. Any mnist dataset will do$.$ The main thing is find the $99\%$ variance and plots.