Question

If a is a matrix of order 2*3 and b is an order of matrix 3*2
What is the order of matrix (ab)

Answer 1

we take 2*3 order matrix

we take 3*2 order matrix

after multiply both matrix

we got 2*2 order matrix

Answer 2

We have two matrices

A matrix and B matrix

Order of both matrices are given

Order of a matrix A is $2\times 3$

and order of a matrix B is $3\times 2$

Matrix multiplication is posible when column of first matrix is equal to row of second matrix

Here column of a first matrix is $3$ which is equal to the row of a second matrix which is $3$

Order of a matrix AB is $2\times 2$