Suppose that A and C are n x n matrices and that CA = 0, where 0 is the n x n zero matrix. Which of the following must be true?
A and C are both invertible.
AC = 0.
Cx = b is consistent for each b ∈ R^n.
The column vectors of A are linearly dependent, and the column vectors of C are linearly dependent.
A is non-invertible, but the invertibility of C cannot be determined from the given information.