Define a matrix a 12 16 423 1 219 10 1 and b 2 7 143 11

Question

Define a matrix A = [12 16 4;23 1 21;9 10 1] and

B = [2 7 14;3 11 2;-9 10 12].

1. Perform matrix multiplication A*B, and call this D.
2. Find the transpose of A, and call this E.
3. Find the transpose of B, and call this F.
4. Find the transpose of D, and call this G.
5. Perform matrix multiplications: (1) E*F and (2) F*E.
6. Which of the above two multiplications are the same as the matrix D T ?
7. Which property of the matrix multiplication is demonstrated from Part (f)?
8. Submit a printout of your results (from the Command Window) for Parts (a) through (g).