A unitary matrix U is a special matrix, which as a linear transformation L (x) = Ux, preserves figures in the space. The grid view of these transformations shows no shearing nor scaling. They appear as rotations or reflections of the space. And, since these matrices do not distort figures, they are excellent for obtaining simple coordinate views of curves, surfaces, and other geometrical objects. In addition, since these matrices do not magnify error, they are also important in developing numerical algorithms which provide good answers.