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 3xx3 matrix and B is a matrix such that A^TB and BA^(T) are both defined, then order of B is

If A is 2xx3 matrix and B is a matrix such that A^T\ B and B A^T both are defined, then what is the order of B ?

If A is a matrix of order mxxn and B is a matrix such that A B^T and B^T A are both defined, then the order of matrix B is (a) mxxn (b) nxxn (c) nxxm (d) mxxm

If A is matrix of order mxxn and B is a matrix such that AB' and B'A are both defined , then order of matrix B is

If A is an invertible matrix and B is a matrix, then

If A is any mxxn such that A B and B A are both defined show that B is an nxxm matrix.

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

Let A be an orthogonal matrix, and B is a matrix such that AB=BA , then show that AB^(T)=B^(T)A .

If A is a matrix of order 3xx4 and B is a matrix of order 4xx3 , find the order of the matrix of A Bdot

If A_("mxn") is a matrix and I and I' are unit matrices such that I'AI is defined, then which of the following is true ?