What is a transformation?

1 Answer
Jul 23, 2015

Answer:

An element(point, line, plane or any other geometric, complex or whatever figure) is said to undergo a transformation when ever one or more of its properties are changed.

Explanation:

A transformation just a rule; its more like a function. It takes an object and returns that object's image.

Transformations are done using: functions, matrices, complex numbers etc.

What we call object can be a point, a line etc. The basic fact about all objects is that object haves properties.

For example: The point #A(3,2)# has only the property of position(in a Cartesian coordinate system).

Once you change point #A#'s position to let's say #B(6,4)# by a particular procedure, we say you have transformed point #A# to be point #B#.

And in which case the object is #A(x,y)# and the image is #B(6,4)#

Our transformation could be the matrix: #({:(2" "0),(2" "0):})#

Proof : Because #({:(2" "0),(0" "2):})xx({:(3),(2):})=({:(6),(4):})#