$A=\left[\begin{array}{l}a_{i j}\end{array}\right]_{m\times n}$ is a square matrix, if

Let $A$ and $B$ be two symmetric matrices of order $3.$

Statement $-1$: $A(BA)$ and $(AB)A$ are symmetric matrices.

Statement $-2:$ $AB$ is symmetric matrix if matrix multiplication of $A$ with $B$ is commutative.

The bookshop of a particular school has $10 $ dozen chemistry books, $8$ dozen physics books, $10$ dozen economics books. Their selling prices are Rs. $80,$ Rs. $60$ and Rs. $40$ each respectively. Find the total amount the bookshop will receive from selling all the books using matrix algebra.

If $A = \left[ {\begin{array}{*{20}{c}}1&0\\2&0\end{array}} \right],B = \left[ {\begin{array}{*{20}{c}}0&0\\1&{12}\end{array}} \right]$, then

If $x\left[\begin{array}{l}2 \\ 3\end{array}\right]+y\left[\begin{array}{l}-1 \\ 1\end{array}\right]=\left[\begin{array}{l}10 \\ 5\end{array}\right],$ find values of $\mathrm{x}$ and $\mathrm{y}$.