What conditions on a matrix A insure that Ax = b has a solution for all b in ℝⁿ? Select the best statement. (The best condition should work with any positive integer n.)

A. The equation will have a solution for all b in ℝⁿ as long as the columns of A span ℝⁿ.
B. The equation will have a solution for all b in ℝⁿ as long as no column of A is a scalar multiple of another column.
C. The equation will have a solution for all b in ℝⁿ as long as the columns of A do not include the zero column.
D. There is no easy test to determine if the equation will have a solution for all b in ℝⁿ.
E. none of the above