The linear transformation $A:\mathbb{R}^2\to \mathbb{R}^2$ is given by the images of basis vectors:
$A((1,1))=(2,1)$ and $A((1,0))=(0,3)$.
Find a matrix of linear transformation $A$ in the basis $(1,1), (1,0)$.
Find $A((3,2))$.
Find vector $x=(x_1,x_2)$ such that the matrix $\begin{pmatrix}-6 &-6\\ 3 &4\end{pmatrix}$ is matrix of the linear transformation $A$ in the basis $x$, $(0,3)$.
Please help me about this.