Show that in each of the following cases:

Solution:

We have and
Now multiplication of two matrices is possible if number of columns in left matrix is equals to the number of rows in right matrix.

Next let us discuss the order of the matrices which are given. The order of matrix is and matrix is .
Thus the multiplications we can proceed as
(i) The multiplication is possible.

(ii) The multiplication is possible.

From (i) and (ii) it can be observed that both the matrices and are of same order and the corresponding elements are same. Therefore by equality of two matrices we can say here that our matrices are equal.
Hence .