What is a transformation?

1 Answer
Antoine
Jul 23, 2015

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):})

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