Matrices of Transformations

Matrices of Transformations

A transformation is a change in position, size or shape of an object. Transformation includes:

  • Reflection
  • Rotation
  • Enlargement
  • Translation
  • Shear

Matrices can be used to transformation an object by multiplying vertices of an object on a Cartesian plane with a 2 x 2 matrix

Reflection on line x=0 (Y-axis)

The matrix that can map objects on this transformation is

Reflection on Y=0 (X-axis)

multiply the object with

Reflection on the line y=x

multiply the object vertices by:

Reflection on the line y= -x

multiply the object vertices by:

positive Quarter turn about the origin

positive turn is turning anticlockwise. Multiply the object vertices by

Half turn about the origin

Multiply the object vertices by:

Positive three quarter turn about the origin

This is same as rotating 270o anticlockwise. Multiply the object vertices by:

An Enlargement from center with a scale factor k

Multiply the object vertices by:

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