Q$\mathrm{.}2$: The simple shear deformation is expressed as$,$

$x_1=x_1+k{x}_2$

$x_2=x_2$

$x_3=x_3$

$($a$)$ Obtain the Green$-$Lagrange strain tensor $E,$ Euler$-$Almansi strain tensor $e,$ right

Cauchy$-$Green tensor $C,$ and left Cauchy$-$Green tensor $b.$

$($b$)$ Obtain the rotation tensor $R,$ left$-$stretch tensor $U,$ and right$-$stretch tensors $v.$