Q. 3 A4.1( 7 Votes )

# Show that AB = BA in each of the following cases: and

Given : and

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

To show : matrix AB = 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 = 2,b = c = 2,d = 2 ,thus matrix AB is of order 2 2

Matrix AB =

Matrix AB =

Matrix AB =

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

Matrix BA=

Matrix BA =

Matrix BA = Matrix AB =

Thus Matrix AB = BA

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Triangular Matrices & operations on matrices58 mins
Determinants of Matrices of different order59 mins
Types of Matrices & Properties51 mins
Determining a determinant63 mins
Lecture on Product of Determinants58 mins