Question

If A is a matrix of order 2×3 then find the order of matrix B such that both AB and BA are defined​

Answer 1

Given A is of order 2×3 this gives A is of order 3×2.

Since A B is defined then the number of columns in A is the same as the number of rows in B and it is 2.

Also since BA is defined then the number of columns of B is equal to the number of rows of A and it is 3.

So B is of order 2×3.

So B is of order 2×3.