Q. 1 E4.6( 5 Votes )

Compute AB and BA

Answer :

Given : and


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


To find : matrices AB and BA


Formula used :



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


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


For matrix AB, a = 3,b = 2,c = 2,d = 3 ,matrix AB exists and is of order 3 3,as


b = c = 2


Matrix AB =


Matrix AB = =


Matrix AB =


Matrix AB =


For matrix BA, a = 3,b = 2,c = 2,d = 3 ,matrix BA exists and is of order 2 2,as


d = a = 3


Matrix BA =


Matrix BA = =


Matrix BA =


Matrix BA =


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