  We define an indefinite Wishart matrix as a matrix of the form
A=W^{T}W\Sigma, where \Sigma is an indefinite diagonal matrix and W is a matrix
of independent standard normals. We focus on the case where W is L by 2 which
has engineering applications. We obtain the distribution of the ratio of the
eigenvalues of A. This distribution can be "folded" to give the distribution of
the condition number. We calculate formulas for W real (\beta=1), complex
(\beta=2), quaternionic (\beta=4) or any ghost 0<\beta<\infty. We then
corroborate our work by comparing them against numerical experiments.
