Let A by an n times n matrix, and let T : Rn rightarrow Rn, T(x) = Ax be a linear tranformation. Suppose the columns of .A do not form a basis for Rn. Which of the following are true? (You may choose several answers.) Ax = b either is inconsistent, or has infinitely many solutions. the range of T is Rn. the dimension of (nullspace A) is less than n. del A = 0. A has nullity 0. A is singular. the dimension of (rowspace A) is not trivial. lambda = 0 is not an eigenvalue of A. None of these.
