Consider the dynamical system Vk$+1=$ AVk where

V$0=30$ and A $=0122$

Find a formula in terms of k for the $(1,1)-$entry xk of Vk$.$ Be sure to include parentheses where necessary, e$.$g$.$ to distinguish $1/(2$k$)$ from $1/2$k$.$Consider the dynamical system $V_{k+1}=A{V}_k$ where

$V_0=\left[\begin{array}{c}3\\ 0\end{array}\right]$ and $A=\left[\begin{array}{cc}0& 1\\ -2& 2\end{array}\right]$

Find a formula in terms of $k$ for the $(1,1)-$entry $x_k$ of $V_k.$ Be sure to include parentheses where necessary, e$.$g$.$ to

distinguish $\frac{1}{2k}$ from $\frac{1}{2}k.$

$x_k=0$