ApplyMatrix Command

ApplyMatrix[ <Matrix>, <Object> ]

Transforms the object O so that point P of O is mapped to

• point M*P (with matrix M) in case M is a 2x2 matrix or
• point project(M*(x(P), y(P), 1)) where project is a projection mapping point (x,y,z) to (x/z, y/z) in case of 3x3 matrix.

Example:

Let M={{cos(\frac{π}{2} ),-sin(\frac{π}{2} )},{sin(\frac{π}{2} ),cos(\frac{π}{2} )}} be the transformation matrix and u=(2,1) a given vector (object). ApplyMatrix[M,u] yields the 90 degrees rotated (with mathematicaly positiv sense of rotation) vector u´=(-1,2).

Note: This command also works for images.