![A=\left[\begin{array}{ccc}1 & 0 & -2 \\ 3 & -1 & 0 \\ -2 & 1 & 1\end{array}\right], B=\left[\begin{array}{ccc}0 & 5 & -4 \\ -2 & 1 & 3 \\ 1 & 0 & 2\end{array}\right]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-a00e039f4079110b22d247fddf0823b8_l3.png "Rendered by QuickLaTeX.com")
![C=\left[\begin{array}{ccc}1 & 5 & 2 \\ -1 & 1 & 0 \\ 0 & -1 & 1\end{array}\right] ;](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-dda16b559739c22d0dee0f77fa7c40b0_l3.png "Rendered by QuickLaTeX.com")
Solution:
We have 
Now sustraction of two matrices is possible if order of both the matrices are same and 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 
Thus the multiplications we can proceed as
(i) The multiplication 
(ii) The multiplication 
(iii) The subtraction 
(iv) The multiplication 
(v) The subtraction 
From (iv) and (v) it can be observed that both the matrices 
Therefore by equality of two matrices we can say here that our matrices are equal.
Hence 
