Do the columns of A span $$R^4$$? Does the equation $$Ax = b$$ have a solution for each b in $$R^4$$?
$$A = \begin{bmatrix} 3 & 4 & 0 & 4 \\ 2 & 0 & -8 & 8 \\ 2 & 4 & 4 & 0 \\ -2 & -7 & -13 & 7 \end{bmatrix}$$
Do the columns of A span $$R^4$$? Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or decimal for each matrix element.)
A. Yes, because the reduced echelon form of A is
B. No, because the reduced echelon form of A is