If A is 3 $\times$ 4 matrix and B is a matrix such that A'B and BA' are both defined. Then, B is of the type

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3 $\times$ 4 The order of A is 3x 4. So, the order of A' is 4x 3 Now, both A’B and BA’ are defined. So, the number of columns in A' should be equal to the number of rows in B for A'B. Also, the number of columns in B should be equal to number of rows in A' for BA'. Hence, the order of matrix B is 3 X 4

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