# Problem 3 (c) -- Errata

In part (c) of this problem you will have to use as input $$u(k)=sin(\omega k)$$, and find the steady state system response. The correct general formula which you should prove is as follows$M e^{j\theta}=C(e^{j\omega}I-A)^{-1}B + D$
Hint: assume that $$u(k)=sin(\omega k)=\mathcal{I}m(e^{j\omega k})$$.
You can therefore find the solution in the required form by using the Euler formulas: use $$u(k)=e^{j\omega k}$$ and express the general solution of the difference equation as $$x(k)= G e^{j ...}$$ (you need to figure out this exponent!).