Code this in Julia please. $1.($Information Retrieval$)$ Download the file 'shake.jld$\text{'},$ and load the corresponding data into Julia. It contains a Term$-$Document Matrix for $33$ of Shakespeare's plays.

$($a$)$ Consider the query "wherefore art thou" and return all relevant documents. You may decide what 'relevant' means.

$($b$)$ Repeat for the query "lady doth protest much."

$($c$)$ Construct a rank$-10$ approximation of the Term$-$Document Matrix, and repeat the queries from part $($a$)$ and $($b$)$ using this matrix. $($This matrix is much too big to use the $\text{'}$svd$\text{'}$ command. You need to construct the approximation by first finding the eigenvalues and eigenvectors of $\backslash ($ A$^\{$T$\}$ A $\backslash ).)$