State whether the calculation is possible If possible perfor

State whether the calculation is possible. If possible, perform the calculation, [2 1 0 3 0 2] [ 7 -1 1 0 5 2]

Solution

The first matrix is 2X3 vector and the second matrix is 3X2 vector, hence the final matrix vector will be 2X2 matrix vector

c11 = 2 x 7 + 1 x 1 + 0 x 5 = 15

c12 = 2 x (-1) + 1 x 0 + 0 x 2 = -2

c21 = 3 x 7 + 0 x 1 + 2 x 5 = 31

c22 = 3 x (-1) + 0 x 0 + 2 x 2 = 1

Hence the final 2X2 matrix will be

15	-2
31	1