You will be provided with an array A where each row represents an article published on mashable.com and each column represents a feature or observation variable relating to the article, such as the number of images and the number of keywords in the article.

Your goal is to search for linear relationships between the features. For example, if the columns of

are

$,$ a linear relationship between

$,$

$,$ and

might look something like

$.$ In other words, there is some linear combination

$,$ i$.$e$.$

$.$ Then

and so one of the eigenvalues of

is $0.$ Since the singular values of

are the square roots of the eigenvalues of

$,$ one of the singular values is $0.$

Note however that this relationship will only hold if the variables are exactly correlated which never happens in the real world.