Q. 1 E4.6( 5 Votes )

Compute AB and BA

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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