  For the second fundamental representation of the general linear group over a
commutative ring $R$ we construct straightforward and uniform polynomial
expressions of elementary generators as products of elementary conjugates of an
arbitrary matrix and its inverse. Towards the solution we get stabilization
theorems for any column of a matrix from $GL_{n \choose 2}(R)$ or from the
exterior square of $GL_n(R)$, $n\geq 3$.
