29. Create the following three matrices: 5 -3 7 A=1 0 -6 -4 8 9 [32-1 B=68-7 4 4 0 -9 8 3 C=17-5 3 36

(a) Calculate A + B and B+ A to show that addition of matrices is commu- tative.

(b) Calculate 1*(B*C) and (4*B)*C to show that multiplication of matrices is associative.

(c) Calculate 5(B+C) and 5B+5C to show that, when matrices are multi- plied by a scalar, the multiplication is distributive.

(d) Calculate (A+B)*C and A*C+B*C to show that matrix multiplication is distributive.