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
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“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)