Please say whether it's true or false and prove your answer.

a.(5 points) You can nd real numbers 05,13, 0 such that the system ax+3y+4z=1 bx+4y+5z22 C$+6y+11z=4 is inconsistent While the system 3$+4y=a 4$+5y=b 633+11y=c is consistent. b.(5 points) If A is a square matrix such that A3 = 2 . I , then the matrix A I is invertible c.(5 points) If A is a 3 by 3 matrix of rank 2, then A2 if of rank 2 as well. d.(5 points) Let A B be 3 by 3 matrices. Suppose A is injective and the vector 1} lies in the image of B , then 1) also lies in the image of AB