please help me solve the

problem

see the attachment

step by step would help

me understand it

thanks

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- Nov 13th 2009, 11:20 AMstatman101linear algebra with transformations and eigenvectors
please help me solve the

problem

see the attachment

step by step would help

me understand it

thanks - Nov 13th 2009, 11:40 AMtonio

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:

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

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

Tonio