Suppose I have something like the following:
$$t(n+2) = 3t(n+1) - 2t(n) + t(n-1)$$
I do not want a complete solution to this question. All that I would like to know is how to convert this into a 3 by 3 matrix. This was my attempt, but it seems to be wrong:
$\begin{bmatrix} t(n) \\ t(n+1) \\ t(n+2)\end {bmatrix}$$=$$\begin{bmatrix} 0 & 0 & 0 \\ 0 &0 & 0 \\ 3 & -2 & 1\end{bmatrix}$$\begin{bmatrix} t(n-1) \\ t(n) \\ t(n+1)\end{bmatrix}$
Can someone explain how to write it as a 3 by 3 matrix, I can take it from there....