Let A be a m╳n matrix and A^T be the transpose of A.
If N(A^T) and C(A) denote the nullspace of A^T and the
column space of A, respectively. Show that
N(A^T) = C(A)^⊥,
where C(A)^⊥ = { x in R^m : x˙y = 0 for all y in C(A) }.
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