  We show that the flagged Grothendieck polynomials defined as the generating
functions of flagged set-valued tableaux of Knutson-Miller-Yong can be
expressed by a Jacobi-Trudi type determinant formula generalizing the work of
Hudson-Matsumura. We also introduce the flagged skew Grothendieck polynomials
in these two expressions and show that they coincide.
