  We construct a solution of the BFSS matrix theory, which is a counterpart of
the BIon solution representing a fundamental string ending on a bound state of
a D2-brane and D0-branes. We call this solution the `fuzzy BIon' and show that
this configuration preserves 1/4 supersymmetry of type IIA superstring theory.
We also construct an effective action for the fuzzy BIon by analyzing the
nonabelian Born-Infeld action for D0-branes. When we take the continuous limit,
with some conditions, this action coincides with the effective action for the
BIon configuration.
