(c) Let A be a 2 x 3 matrix. Then every vector in the nullspace Null(A) of A is orthogonal to every row of A. ANSWER (True/False): (1/2) Justification /example: (1/2) (d) If A is an invertible 3 x 3 matrix, then A is diagonalizable. ANSWER (True/False): (1/2) Justification/example: (1/2)14. (4 points) State whether each of the following is (always) true, or is (possibly) false, in the respective box. Provide the respective justification/(counter-)example. (a) If u, v and w are three linearly independent vectors in a vector space V, then u E Span{utv, v+ w} ANSWER (True/False): (1/2) Justification/example: (1/2) (b) Let A be a 4 x 3 matrix with real entries. If the system Ar = 0 has a non-trivial solution, then the set of columns of A is linearly dependent. ANSWER (True/False): (1/2) Justification/example: (1/2)