I am having trouble finding the transition matrix between two bases, $A$ and $B$.
$A = \begin{bmatrix}{t+1, t-1}\end{bmatrix}$ and $B = \begin{bmatrix}{2t+1, 3t+1}\end{bmatrix}$.
I understand that I want to find a matrix to multiply $A$ by to get $B$, but do not see how to get from $t+1$ to $2t+1$...
I know that my answer must be a matrix with maximum $2$ columns (multiplying matrices to get an output of $B$). I've tried multiplying by a $2x2$ matrix but cannot figure out what to put in the first column to get from $t+1$ to $2t+1$