$(10$ points$)$ We studied the sparse matrix ADT in class. Since we are tired of the popular row major

order, we decided to go with the column major order. That is$,$ we want to organize the triples $($i$.$e$.$

row, col, value :) $)$ so that the column indices are in ascending order first, and for any column the

row indices are in ascending order.

$($a$)(3$ pts$.)$ Represent the following matrix using this new ADT.

$\left[\begin{array}{cccccc}15& 0& 0& 22& 0& -15\\ 0& 11& 3& 0& 0& 0\\ 0& 0& 0& -6& 0& 0\\ 0& 0& 0& 0& 0& 0\\ 91& 0& 0& 0& 0& 0\\ 0& 0& 28& 0& 0& 0\end{array}\right]$