  A review of the multiparametric linear quantum group GL_qr(N), its real
forms, its dual algebra U(gl_qr(N)) and its bicovariant differential calculus
is given in the first part of the paper.
  We then construct the (multiparametric) linear inhomogeneous quantum group
IGL_qr(N) as a projection from GL_qr(N+1), or equivalently, as a quotient of
GL_qr(N+1) with respect to a suitable Hopf algebra ideal.
  A bicovariant differential calculus on IGL_qr(N) is explicitly obtained as a
projection from the one on GL_qr(N+1). Our procedure unifies in a single
structure the quantum plane coordinates and the q-group matrix elements T^a_b,
and allows to deduce without effort the differential calculus on the q-plane
IGL_qr(N) / GL_qr(N).
  The general theory is illustrated on the example of IGL_qr(2).
