MAE101_-_SU_2023_-_Block_5_-_FE_722.webp

Let T:R^{3}\rightarrow R^{2} be a linear map and T[\begin{matrix}1\\ 1\\ 1\end{matrix}]=[\begin{matrix}5\\ 1\end{matrix}],T[\begin{matrix}-1\\ 1\\ 0\end{matrix}]=[\begin{matrix}2\\ 0\end{matrix}]. Then I[\begin{matrix}5\\ -1\\ 2\end{matrix}];i ...
(i)[\begin{matrix}4\\ 2\end{matrix}]
(ii)[\begin{matrix}2\\ 4\end{matrix}]
(iii)[\begin{matrix}2\\ -3\end{matrix}]