Linear Map - Examples of Linear Transformation Matrices

Examples of Linear Transformation Matrices

In two-dimensional space R2 linear maps are described by 2 × 2 real matrices. These are some examples:

  • rotation by 90 degrees counterclockwise:
  • rotation by θ degrees counterclockwise:
  • reflection against the x axis:
  • reflection against the y axis:
  • scaling by 2 in all directions:
  • horizontal shear mapping:
  • squeeze mapping:
  • projection onto the y axis:

Read more about this topic:  Linear Map

Famous quotes containing the words examples of and/or examples:

    “It is hardly to be believed how spiritual reflections when mixed with a little physics can hold people’s attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.”
    —G.C. (Georg Christoph)

    “There are many examples of women that have excelled in learning, and even in war, but this is no reason we should bring ‘em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.”
    —Bernard Mandeville (1670–1733)