A transformation matrix is a special matrix that can describe 2d and 3d transformations. Transformations are frequently used in linear algebra and computer graphics, since transformations can be easily represented, combined and computed.In linear algebra, linear transformation can be represented by Matrices. If T is a linear transformation mapping Rn to Rm and is a column vector with n entries, then for some m×n matrix A, called the Transformation Matrix of T. There are alternative expressions of transformation matrices involving row vectors that are preferred by some.