Q$9)$ True or False, correct it if it is false:

$(8B^{-1}{)}^{-1}=0\mathrm{.}125B$

$(2)$ If $A$ is $45$ matrix, then $A{A}^T$ is symmetric.

If det$(A)=-3,$ then det$(A^{T}A)=1$

det$\left[\begin{array}{ccc}cos& sin& 1\\ -sin& cos& 0\\ 1& 1& cos\end{array}\right]=sin$

If det$(4A^{-1})=28,$ then det$(A)=7$