Q. 685.0( 1 Vote )

Let A and B be ma

Answer :

We are given that,

Order of matrix A = 3 × 2


Order of matrix B = 2 × 4


We need to find the order of matrix AB.


We know that,


Matrix A × Matrix B = Matrix AB


If order of matrix A is (m × n) and order of matrix B is (r × s), then matrices A and B can be multiplied if and only if n = r.


That is,


Number of columns in A = Number of rows in B


Also, the order of resulting matrix AB comes out to be m × s.


Applying it,


Number of columns in A = 2


Number of rows in B = 2


This means,


Matrices A and B can be multiplied, and its order will be given as:


Order of matrix AB = 3 × 4


Thus, order of matrix AB = 3 × 4


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