PassageSuppose two publication houses AA and BB sell novels, poetry collections, and short story collections at the prices shown in the table. Customers buy equal numbers of each type from both houses, giving a linear transformation T:R3→R2T:\mathbb{R}^3\to\mathbb{R}^2.
QuestionApply R2←R2−3R1R_2\leftarrow R_2-3R_1, then R2←(−1/3)R2R_2\leftarrow(-1/3)R_2, then R1←R1−2R2R_1\leftarrow R_1-2R_2 to AA. If B=[abcdef]B=\begin{bmatrix}a&b&c\\d&e&f\end{bmatrix}, what is aa?