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Q. If $A = \begin{bmatrix}1&0\\ 2&0\end{bmatrix} $ and $B = \begin{bmatrix}0&0\\ 1&12\end{bmatrix}$ , then

Matrices

Solution:

Here, $AB= \begin{bmatrix}1&0\\ 2&0\end{bmatrix} \begin{bmatrix}0&0\\ 1&12\end{bmatrix} = \begin{bmatrix}0&0\\ 0&0\end{bmatrix} $
and $BA = \begin{bmatrix}0&0\\ 1&12\end{bmatrix}\begin{bmatrix}1&0\\ 2&0\end{bmatrix} = \begin{bmatrix}0&0\\ 25&0\end{bmatrix} \ne O. $