Given : and

Matrix A is of order 3 2, and Matrice B is of order 3 3

To find : matrix AB and BA

Formula used :

Where c_ij = a_i1b_1j + a_i2b_2j + a_i3b_3j + ……………… + a_inb_nj

If A is a matrix of order a b and B is a matrice of order c d ,then matrice AB exists and is of order a d ,if and only if b = c

If A is a matrix of order a b and B is a matrice of order c d ,then matrice BA exists and is of order c b ,if and only if d = a

For matrix AB, a = 3,b = 2,c = 3,d = 3 ,thus matrix AB does not exist, as d a

But 2 3

Thus matrix AB does not exist

For matrix BA, a = 3,b = 2,c = 3,d = 3 ,thus matrix BA is of order 3 2

as d = a = 3

Matrix BA =

Matrix BA =

Matrix

Matrix BA =