Feb 26, 2012 01:12
to write them down, you can notice that up to the action of the linear group, you can suppose the 1-dimensional subspace is the first coordinate axis
so a linear functional which does not vanish there is simply one which has a non-zero coefficient on the first coordinate.
since there is only one possible non-zero coefficient, it must be 1
you can pick the other n-1 coefficients arbitrarily
