Question

6. (10 points) Given the two matrices, A and B, compute C when (i)C= A.*B and (ii) C=A*B A = [1 O 3; 5 3 8; 2 4 6]; B = [2 3 7; 9 1 5; 8 8 3],

Answer 1

Code

A = [1 0 3; 5 3 8; 2 4 6];
B = [2 3 7; 9 1 5; 8 8 3];

#A.*B is the element-by-element product of A and B.
C = A.*B;
disp("Result of C when we perform A.*B is ")
disp(C)

#C = A*B is the linear algebraic product of the matrices A and B.
#The number of cols of A must be equal to number of rows of B.
C = A*B;
disp("Result of C when we perform A*B is ")
disp(C)

Screenshots

multiply.m 1 A = [1 0 3; 5 3 8; 2 4 6]; 2 B = [2 3 7; 9 1 5; 8 8 3]; 3 4 #A.*B is the element-by-element product of A and B. 5 C = A.*B; 6 disp("Result of C when we perform A. *B is ") 7 disp(C) 8 9 #C = A*B is the linear algebraic product of the matrices A and B. 10 #The number of cols of A must be equal to number of rows of B. 11 C = A*B; 12 disp("Result of C when we perform A*B is ") 13 disp(C) 14 15 16 17

Output

Command Window >> multiply Result of C when we perform A.*B is 2 0 21 45 3 40 16 32 18 Result of C when we perform A*B is 26 27 16 101 82 74 88 58 >> | 52