Given two matroids on the same ground set, the matroid intersection problem asks to find a common independent set of maximum size. We show that the linear matroid intersection problem is in quasi-NC

Our result also implies a
blackbox singularity test for symbolic matrices of the form
* A _{0} + A_{1} z_{1} + A_{2} z_{2} + ... + A_{m} z_{m} *, where the matrices