  In light of the well-known fact that the $n$th divided difference of any
polynomial of degree $m$ must be zero while $m<n$,the present paper proves the
$(\alpha,\beta)$-inversion formula conjectured by Hsu and Ma [J. Math. Res.
$\&$ Exposition 25(4) (2005) 624].
  As applications of $(\alpha,\beta)$-inversion, we not only recover some known
matrix inversions due to Gasper, Schlosser, and Warnaar, but also fin three new
matrix inversions related to elliptic divisibility sequence and theta
functions.
