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Linear Transformation
★★★☆☆High School
📖Definition
A function between vector spaces that preserves addition and scalar multiplication.
📐Formulas
T(\vecu + \vecv) = T(\vecu) + T(\vecv)
Preserves addition
T(c\vecv) = cT(\vecv)
Preserves scalar multiplication
✏️Examples
예제 1★★★☆☆
Find the rotation matrix (counterclockwise by θ).
예제 2★★☆☆☆
Express scaling (2x in x, 3x in y) as a matrix.
⚡Applications
Computer Graphics
Rotation, scaling, translation
Robotics
Coordinate frame transformations
🔗Related Documents
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⚡Applications
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