The transformation P is represented by the matrix \(\left( \begin{array} { r r } 1 & 0 0 & - 1 \end{array} \right)\). Give a geometrical description of transformation P .
The transformation Q is represented by the matrix \(\left( \begin{array} { r r } 0 & - 1 - 1 & 0 \end{array} \right)\). Give a geometrical description of transformation Q.
The transformation R is equivalent to transformation P followed by transformation Q . Find the matrix that represents R .
Give a geometrical description of the single transformation that is represented by your answer to part (iii).