# Covariance Matrix of a bivariate normal vector times a constant matrix?

What I have is a bivariate vector W and a constant 6x2 Matrix B, what would the resulting distribution then be of BW? Can it be posed as a multivariate normal vector with a certain Covariance Matrix? I thought the covariance matrix would simply be BAB' where A is the covariance matrix of W, but this doesn't seem to work for me.

The reason I ask is that I need the PDF of BW.