Question

3. In the next section of your script, insert the comment Problem 3. Create the following three matrices and show that the computations are equal (show the difference is the zero matrix): A= [1 2 1-2 -3 5] 2 4 0 6 B= [0 5 2 -2 1 7 1] -6 -1 C= 1-3 4 0 8 1-3 5 -1] 2 3 (a) Calculate A+B and B + A to show that addition of matrices is commutative. (b) Calculate A +(B+C) and (A+B) + C to show that addition of matrices is associative. (c) Calculate 3(A+C) and 3A +3C to show that, when matrices are multiplied by a scalar, the multiplication is distributive. (d) Calculate A(B+C) and AB + AC to show that matrix multiplication is distributive. (c) Calculate AB and BA to show that matrix multiplication is not commutative.

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Answer 1

A. [-35; 2 2 4 ; - 05]; B = [° -2.1; 51-6; 27 -1]; c = [-3 -1; 082; -3 5 3]: DE A + B ; Q= A + P i 8 = D + €; elemrung QOL (0) S = 3+ (Ate) T (3+A) + (3*C); (so here s= T) (A*) + (Arc) Teleash At (B+C) = (A+B) + (AC)