= There is a rot-inversion symmetry 3 along z axis [0 0 1] and intercepting with the origin (x=0, y = 0, z=0). For a position with Cartesian coordinate (x 1.0 , y = 2.0 , z = 1.0 ), what are the Cartesian coordinates for all its symmetry-equivalent points (Here we use right- hand rotation axis for 3, which means anti-clockwise rotation in the following projection figure. You can use the Matlab or other software to perform the matrix calculations. You need to write down clearly the calculation steps and the numerical values of all your results.) Im 3 X (0, 0, 0) (x = 1.0 , y = 2.0 , z = 1.0 ) 3=3.i e