9. Sparse Matrix and NMF: Matrix Factorization is a technique used to approximate decompose a square or rectangular matrix into two matrices such that when multiplied they will re-approximate the original matrix. Given the following: Please calculate the missing values: X=\begin{tabular}{|c|c|c|l|c|l|} \hline 1 & 2 & 3 & 1 & 4 & 2 \\ \hline 2 & 3 & 2 & 1 & 3 & 1 \\ \hline 5 & 8 & 7 & ? & 10 & 4 \\ \hline 10 & 17 & 18 & 7 & 25 & 11 \\ \hline 5 & 8 & ? & 3 & 10 & 4 \\ \hline 7 & ? & 9 & 4 & 13 & 5 \\ \hline \end{tabular} Dimensionality Reduction with PCA, . Principal Components Analysis (PCA). Is a way of identifying patterns in data, and expressing the data in such a way as to highlight their similarities and differences. The main advantage of PCA is that once you have found these patterns in the data, and you compress the data, ie. by reducing the number of dimensions without much loss of value. Summarize the 6 steps in the algorithm