# Math Help - linear algebra with transformations and eigenvectors

1. ## linear algebra with transformations and eigenvectors

problem

see the attachment

step by step would help
me understand it

thanks

2. Originally Posted by statman101
problem

see the attachment

step by step would help
me understand it

thanks

Apply T to the vectors of B and write the result as a lin. combination of the vectors in C, and then take the transpose of the coefficients matrix. For example:

$T\left(\begin{array}{c}3\\2\\3\end{array}\right)=\ left(\begin{array}{c}3\\2\end{array}\right)=\under line{\underline{1}}\left(\begin{array}{c}1\\0\end{ array}\right)+\underline{\underline{2}}\left(\begi n{array}{c}1\\1\end{array}\right)$ $\Longrightarrow$ the first COLUMN (from the left) of the wanted matrix is $\left(\begin{array}{c}1\\2\end{array}\right.$

Now you do something simmilar with the second element of B and find the second column of the wanted matrix for T.

Tonio