Find $y[k]$. Given $x[k+1]=G x[k]+H u[k] ; y[k]=x_{1}[x]$; with $x_{0}=\binom{1}{1}$ $$ G=\left(\begin{array}{cc} 0 & 1 \\ -2 & -3 \end{array}\right) H=\binom{0}{1} $$

Explanation

The system can be represented as a state-space model. The state-space model is used to find the output of the system.