Dilation

Dilation

Explain in Detail :Dilation and its Scope in Mathematics

In mathematics, dilation is a transformation that enlarges or shrinks objects by a scale factor. The scale factor may be positive or negative, and the result is a new object that is similar to the original. Dilations can be described by pointing out a center of dilation and a scale factor.

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What is a Scalar Factor?

A scalar factor is a number that is multiplied by each element of a vector, or a number that is multiplied by each term of a series.

A Few Important Properties Of Dilation

Some of the important properties of dilation are as follows:

1. Dilation is a linear transformation.

2. The magnitude of the dilation is proportional to the magnitude of the original object.

3. The direction of the dilation is unchanged.

4. Dilated objects are always similar to the original object.

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