Q$2.$ Consider the following $2-$D homogenous deformation in which the following three points

$($that form two sides of a unit square$)$ are displaced as follows: $(0,0)(4,0)$;$(1,0)(5,2)$;

$(0,1)(3,2)$;

Determine the following

a$.)$ Location of point $(1,1)$ after deformation.

b$.)$ Sketch how the unit square deforms.

c$.)$ Show that the deformation gradient deformation is$,,F=\left[\begin{array}{cc}1& -1\\ 2& 2\end{array}\right].$

d$.)$ The stretch and rotation tensors $V,U$ and $R.$

e$.)$ What is the motion $x=(x_1,x_2)$ for this deformation? Describe the motion in

words.