The nullspace of a transposed matrix

[Patlam81]

Let says I have a matrix A with m rows and n columns, with m<n, from which I compute the null space. If the rank of A is smaller than m, then the null space of the transpose of A also exists. Is there any relation between the null space of a matrix and the null space of the transposed matrix? Can I find null(transpose(A)) from null(A) or I have to compute the nullspace again?

 

[chiro]

Let says I have a matrix A with m rows and n columns, with m<n, from which I compute the null space. If the rank of A is smaller than m, then the null space of the transpose of A also exists. Is there any relation between the null space of a matrix and the null space of the transposed matrix? Can I find null(transpose(A)) from null(A) or I have to compute the nullspace again?

Hey Patlam81 and welcome to the forums.

Are there are other constraints on your matrix or are you talking about a general system?