Given the three documents in Table 1 and the term-document matrix in the Table 2. (a) pick up two words only to represent the three documents. (b) derive the TF-IDF matrix.

1. Compare the results of (a) and (b), what conclusions you can derive?

Table 1: The documents \begin{tabular}{|c|c|} \hline Index & Document \\ \hline 1 & It is going to rain today \\ 2 & today I am not going outside \\ 3 & I am going to watch the football game today \\ \hline \end{tabular} Table 2: The term-document matrix \begin{tabular}{|c|ccc|} \hline & Document1 & Document2 & Document3 \\ \hline today & 1 & 1 & 1 \\ rain & 1 & 0 & 0 \\ I & 0 & 1 & 1 \\ football & 0 & 0 & 1 \\ \hline \end{tabular}