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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].
Perform the following additions: (1) A+B, (2) A+C, (3) A+D, (4) B+C, (5) B+D, and (6) C+D.
Are each of the above additions possible? If yes, explain why. If not, explain why.
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?
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