A linear transformation matrix is a mathematical tool for describing linear transformations
Any sequence of these operations in a 2-dimensional plane can be described by one linear transformation matrix of 6 parameters. It can do the following
Because parallel lines stay parallel, a linear transformation matrix can describe a 3D isometric projection, but not a 3D perspective projection.
The transformation of a triangle into another triangle uniquely identifies a linear
transformation matrix (
Applying a linear transformation matrix with
CADTransform is generally more
efficient than a succession of singular operations
Objects of type Block insert and Raster image have a linear transformation matrix attached
The matrix that doesn’t change anything is called the identity matrix
A matrix that describes one sequence of the operations scale, rotate and translate
(in that order) is called a standard matrix (
A matrix that undoes the effect of another matrix is called an inverse matrix
Applying one matrix transformation on another is called a matrix multiplication
The term multiplication is somewhat misleading. When multiplying two numbers, the order of the
two numbers is not important. But when multiplying two matrices the order is important.