Define the matrices a 12 16 423 1 219 10 1 b 2 7 143 11

Question

Define the matrices A = [12 16 4;23 1 21;9 10 1], B = [2 7 14;3 11 2;-9 10 12], C = [43 12;13 12], and D = [1 2 3;4 5 6].

1. Perform the following additions: (1) A+B, (2) A+C, (3) A+D, (4) B+C, (5) B+D, and (6) C+D.

1. Are each of the above additions possible? If yes, explain why. If not, explain why.

2. Perform the following operations: (1) A+B and (2) B+A. Is the answer to these two additions the same? If not, explain why. If yes, which matrix addition property i demonstrated using these two additions?

3. Submit a print out your results (from the Command Window) for Parts (a) and (c), and discussions for the Part (b).