Practice question · Select all that apply
Select every transformation of the plane that is linear.
Hints
- Linear transformations fix the origin.
- Anything that shifts the origin is not linear.
Show the answer
- A. Rotation about the origin
- B. Reflection across a line through the origin
- D. Scaling by 3
Why
Rotations, scalings, and reflections through the origin fix 0 and preserve the operations, so they are linear. Both translation options move the origin, so neither is linear.
Practise Linear Transformations
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