Am 15.03.2019 um 12:35 schrieb Olasehinde Timmy:

> illustrative purposes using vecm output, let α = {-0.3;0.4}, and β =
> {1,2.2}, how can I compute the orthonormals for this two matrices.
> Because, I tried using the nullspace command in gretl, but I keep
> getting empty space matrix.

You have to use the transpose:

a = {-0.3;0.4}
eval nullspace(a')

This is due to the convention used that A*nullspace(A) should be zero,
as opposed to A'nullspace(A). Equivalently as stated in the
documentation: "...except when A has full column rank, in which case an
empty matrix is returned."

(BTW, the most common name for this is "orthogonal complement" AFAIK.)

cheers
sven
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