Question

If A = $\left[\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\\ 7& 8& 9\end{array}\right]$ and B = $\left[\begin{array}{ccc}4& 5& 6\\ 7& 8& 9\\ 1& 2& 3\end{array}\right]$ then the order of A+B will be nxn where n= -----

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Answer 1

We know that when two matrices are added, they have to be of the same order. Here you can see that the order of two matrices is the same which is 3 $\times$ 3.Also when you add two matrices of the same order the resultant matrix comes out to be of the same order as it is nothing but the matrix having elements which are sum of corresponding elements of the two matrices we are adding. So in the above question the order of A+B will be same as that of A and B i.e. 3 $\times$ 3. So n= 3