Determine the Jacobian matrix |J| and its determinant for the elements shown in Figure P10 11. Show that the determinant of |J|for rectangular and parallelogram shaped elements is equal to A/4, where A is the physical area of the element and 4 actually represents the area of the rectangle of sides 2  2 when b = 1 and h = 1 in Figure 6€“20.

(a)

(b)

(c)

(-2, 1) ( (2, 1) 2. (2, -1) [1 (-2, 1) (-2, 1) 3 9(2, 1) 1 (-2, -1) 6(2,-1)