If `A` is an `mxxn` matrix and `B` is `nxxp` matrix does `A B` exist? If yes, write its order.

If A is an m xx n matrix and B is n xx p matrix does AB exist? If yes,write its order.

If A is any mxn matrix and B is a matrix such that AB and BA are both defined, then B is a matrix of order

If A is a mtimesn matrix and B is a matrix such that both AB and BA are defined, then the order of B is

If A is a 4xx5 matrix and B is a matrix such that A^TB and BA^T both are defined, then write the order of B.

If A is an matrix of order 5xx6 and B is matrix of order 5xx6 , then what is the order of A^(T) +B^(T) ?

If A is a 4xx5 matrix and B is a matrix such that A^(T)B and BA^(T) both are defined, then write the order of B.

If A is a 3xx4 matrix and B is a matrix such that both A^(T) B and BA^(T) are defined, what is the order of the matrix B?

If A is matrix of a order 2 xx 3 and B is a matrix of order 3 xx 2 , then AB is a matrix of order: