I have a reduced form VAR
$$\begin{equation} y_t = c_o + A y_{t-1} + \epsilon_t \end{equation}$$
Where, $y_t \in \mathbb{R}^2$, $A$ is a $2$X$2$ matrix and
$$\begin{equation} E(\epsilon_t \epsilon_\tau ')=\left\{ \begin{array}{@{}ll@{}} \Omega, & \text{if}\ t=\tau \\ 0, & \text{otherwise} \end{array}\right. \end{equation} $$
$\Omega$ is not necessarily digonal. I have to show that I can use Least squares method. But, for this, I have to show that the errors $\epsilon_t$ are not correlated with the regressor $y_{t-1}$, i.e.
$$E(y_{t-1} \epsilon_t' ) = 0$$
I tried to use the Wald decomposition:
$$y_{t-1} = \mu + \sum_{i=0}^{\infty} A^{i} \epsilon_{t-1 - i} $$ But
$$E[ y_{t-1} \epsilon_t'] = E[\mu \epsilon_t'] + \sum_{i=0}^{\infty} A^{i} E[\epsilon_{t-1 - i} \epsilon_t'] =^{i =1} A \Omega$$
With this, I can not reach my goal. Some ideias?