Calculate the stretch ratio for a line element vector aligned with the X, - axis and another with direction cosines (0, 1MJ, 1A/2) w.r.t. X t , following a shear deformation whose components x,, are...

Calculate the stretch ratio for a line element vector aligned with the X, - axis and another with direction cosines (0, 1MJ, 1A/2) w.r.t. X_t
, following a shear deformation whose components x,, are given in Exercise 2J. Hint, use eq(2.13c) with the corresponding right Cauchy-Green components Gs from Exercise 2.9

Show from eq(2.28d) that the extension ratio 1 + K, found in Exercise 2,11, applies when inverting the components from x_t
in x = x{X) to X, in X = X(x) upon forming the inverse of the left Cauchy-Green components By., Explain why this is.