2. True or false? Give a reason if true and a counterexample or explanation if false. 1 1 3 2 0 0 (a) (2 points} The vector 1 is in C01 0 1 5 1 0 . 0 2 0 0 3 l (b) {2 points} The product of two rank 1 matrices (assuming the product exists) is also rank 1. (c) (2 points) If'= (1,1,1) is perpendicular to and 13, then 'is parallel to Iii. (d) (2 points} If 11 is perpendicular to 9' and til, then 11' is perpendicular to 17+ 2213'. (e) (2 points} If 11' and {F are perpendicular unit vectors, then \"13 if\" = V/i. 7. Consider the matrix 2 A= 2 4 . 1 2 2 3 (a) (6 points) Find the column space of the matrix A. Justify your answer and indicate what the column space represents geometrically