Most electronic device of display are equipped with the option of change the aspect ratio of the display. Aspect ratio is the ratio of width of the display to the length of the display. Assume that you are playing a computer game and you change the aspect ratio from $1$:$1$ to $1\mathrm{.}5$:$1.$ And this cause the length of the display to be multiplied by a factor $1\mathrm{.}2$

$1)$identify $2$x$2$ matrix

$2)$ is it inversible? If yes$/$not why?

$3)$ Draw the linear transformation with the swap of x and y