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:

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