Q. 1 B5.0( 7 Votes )

Compute AB and BA, which ever exists when


Answer :

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 cij = ai1b1j + ai2b2j + ai3b3j + ……………… + ainbnj

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 BA =

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