PERSON #: LAB SECTION: NAME: HW3P1 (Creating Vectors) (24 pts): Solve this problem, first by hand (16 pts) and next in MATLAB command window (8 pts) to check your answers. Create the following three matrices: 1 3 -2 4 3 -5 3 -51 -4 6 a) Calculate A+Band B+A to show that addition of matrices is commutative. b) Calculate A*(B*C) and (A B)*C to show that multiplication of matrices is associative c) Calculate 5(B+C) and 5B+5C to show that, when matrices are multiplied by a scalar, the multiplication is distributive. d) Calculate (A+B)*C and A*C+B*C to show that matrix multiplication is distributive. e) Does A * B =B+A? f) Does (B C)1B-1 C-1? g) Does (B-1)t=(Bt)-17(tmeans transpose) h) Does (A + B)" At + Bt