- #1
lukaszh
- 32
- 0
Hello everybody,
I have a problem. There is a linear trasformation [tex]\xi:\mathbb{R}^2\mapsto\mathbb{R}^2[/tex] and:
[tex]\xi\begin{pmatrix}3\\1\end{pmatrix}=\begin{pmatrix}2\\-4\end{pmatrix}[/tex]
[tex]\xi\begin{pmatrix}1\\1\end{pmatrix}=\begin{pmatrix}0\\2\end{pmatrix}[/tex]
How to find a matrix for this linear transformation for basis [tex]\mathcal{B}=\left\{\begin{pmatrix}1\\2\end{pmatrix},\begin{pmatrix}2\\1\end{pmatrix}\right\}[/tex]
Thank you so much :-)
I have a problem. There is a linear trasformation [tex]\xi:\mathbb{R}^2\mapsto\mathbb{R}^2[/tex] and:
[tex]\xi\begin{pmatrix}3\\1\end{pmatrix}=\begin{pmatrix}2\\-4\end{pmatrix}[/tex]
[tex]\xi\begin{pmatrix}1\\1\end{pmatrix}=\begin{pmatrix}0\\2\end{pmatrix}[/tex]
How to find a matrix for this linear transformation for basis [tex]\mathcal{B}=\left\{\begin{pmatrix}1\\2\end{pmatrix},\begin{pmatrix}2\\1\end{pmatrix}\right\}[/tex]
Thank you so much :-)