Consider an n x m matrix A. Find dim(im(A)) + dim(ker(A^T)), in terms of m and n.
I think this is equal to rank(A) + nullity(A^T). If so, I'm not sure what nullity(A^T) is equal to and how to the answer to this equation in terms of m and n.
Consider an n x m matrix A. Find dim(im(A)) + dim(ker(A^T)), in terms of m and n.
I think this is equal to rank(A) + nullity(A^T). If so, I'm not sure what nullity(A^T) is equal to and how to the answer to this equation in terms of m and n.