Suppose A is a m x n matrix and dim(null(A)) = d. Determine dim(null(A transpose) and justify.
Thank You!
the null space of is equal to the orthogonal complement of the column space of we know that the dimesnion of the column space of is equal to the rank of which, by the rank-nullity
theorem, is equal to thus the dimension of the orthogonal complement of the column space of is