  In matrix models, higher dimensional D-branes are obtained by imposing a
noncommutative relation to coordinates of lower dimensional D-branes. On the
other hand, a dual description of this noncommutative space is provided by
higher dimensional D-branes with gauge fields. Fuzzy spheres can appear as a
configuration of lower dimensional D-branes in a constant R-R field strength
background. In this paper, we consider a dual description of higher dimensional
fuzzy spheres by introducing nonabelian gauge fields on higher dimensional
spherical D-branes. By using the Born-Infeld action, we show that a fuzzy
$2k$-sphere and spherical D$2k$-branes with a nonabelian gauge field whose
Chern character is nontrivial are the same objects when $n$ is large. We
discuss a relationship between the noncommutative geometry and nonabelian gauge
fields. Nonabelian gauge fields are represented by noncommutative matrices
including the coordinate dependence. A similarity to the quantum Hall system is
also studied.
