Consider the matrix $f(x)=\left[\begin{array}{ccc}\cos x & -\sin x & 0 \\ \sin x & \cos x & 0 \\ 0 & 0 & 1\end{array}\right]$

Given below are two statements:

Statement I: $f(-x)$ is the inverse of the matrix $f(x)$.

Statement II: $f(x) f(y)=f(x+y)$.

In the light of the above statements, choose the correct answer from the options given below

If $A = [1\,\,2\,{\rm{ }}3]$and $B = \left[ {\begin{array}{*{20}{c}}{ – 5}&4&0\\0&2&{ – 1}\\1&{ – 3}&2\end{array}} \right]$, then $AB = $

Let $p$ , $q$ , $r$ are three real numbers satisfying $\left[ {p\,\,q\,\,r} \right]\left[ {\begin{array}{*{20}{c}}
  2&p&q \\ 
  { – 3}&q&{ – p + r} \\ 
  {12}&r&{ – q + 3r} 
\end{array}} \right] = \left[ {5\,\,\,b\,\,c} \right]$ , then minimum value of $(b + c)$ is 

If $P=\left[\begin{array}{ll}1 & 0 \\ 1 / 2 & 1\end{array}\right]$, then $P^{50}$ is:

If $A$ is a $m \times n$matrix and $B$ is a matrix such that both $AB$ and $BA$ are defined, then the order of $B$ is