I am learning about linear algebra and am solving span problems
the problems in the book give row vectors, and I usually place each row vector on top of each other to make a matrix, and then RREF to see if there exists solutions for a given span.
however, does it matter if I transpose the row vectors and make them as columns and find the solution with respect to the column space?
I think they should have the same solutions even if they are not symmetric matrices.
The problems in the book and in here show that given a row vector, they form the matrix by making them into columns. is this always necessary?