What is the dimension of a system of linear equations?

What is the dimension of a system of linear equations? The solution space of the system of linear equations AX = O is a subspace of Vn of dimension n − r. In particular, if the rows of A are independent then the solution space of the system AX = O has dimension n − m. A proof is in [Mun, B, Theorem 3].

The solution space of the system of linear equations AX = O is a subspace of Vn of dimension n − r. In particular, if the rows of A are independent then the solution space of the system AX = O has dimension n − m. A proof is in [Mun, B, Theorem 3].